pradip mukherjee - Profile on Academia.edu (original) (raw)

Papers by pradip mukherjee

Physical Review D, 2008

The leading order corrections to Reissner-Nordstrom solutions of the Einstein's equations on nonc... more The leading order corrections to Reissner-Nordstrom solutions of the Einstein's equations on noncommutative space time have been worked out basing on a noncommutative gauge theory of gravity. From the corrcted metric the horizons have been derived and the curvature scalar is also computed. The introduction of noncommutativity leads to the removal of the coordinate singularities.

The direct and indirect Lagrangian representations of the planar harmonic oscillator have been di... more The direct and indirect Lagrangian representations of the planar harmonic oscillator have been discussed. The reduction of these Lagrangians in their basic forms characterising either chiral, or pseudo - chiral oscillators have been given. A Hamiltonian analysis, showing its equivalence with the Lagrangian formalism has also been provided. Finally, we show that the chiral and pseudo - chiral modes act as dynamical structures behind the Jordan - Schwinger realizations of the SU(2) and SU(1,1) algebras. Also, the SU(1,1) construction found here is different from the standard Jordan - Schwinger form.

Physical Review D, 2005

A master action for the bosonic p-brane, interpolating between the Nambu-Goto and Polyakov formal... more A master action for the bosonic p-brane, interpolating between the Nambu-Goto and Polyakov formalisms, is discussed. The fundamental arbitrariness of extended structures (p-brane) embeded in space time manifold has been exploited to build an independent metric in the brane world volume. The cosmological term for the generic case follows naturally in the scheme. The dynamics of the structure leads to a natural emergence of the A-D-M like split of this world volume. The role of the gauge symmetries vis-à-vis reparametrization symmetries is analyzed by a constrained Hamiltonian approach.

Modern Physics Letters A, 2008

The 1+1 dimensional bosonised Schwinger model with a generalized gauge invariant regularisation h... more The 1+1 dimensional bosonised Schwinger model with a generalized gauge invariant regularisation has been studied in a noncommutative scenario to investigate the fate of the transition from confinement to deconfinement observed in the commutative setting. We show that though the fuzziness of space time introduces new features in the confinement scenario, it does not affect the deconfining limit.

Physical Review D, 2004

A master action for bosonic strings and membranes, interpolating between the Nambu--Goto and Poly... more A master action for bosonic strings and membranes, interpolating between the Nambu--Goto and Polyakov formalisms, is discussed. The role of the gauge symmetries vis-\`{a}-vis reparametrization symmetries of the various actions is analyzed by a constrained Hamiltonian approach. This analysis reveals the difference between strings and higher branes, which is essentially tied to a degree of freedom count. The cosmological term for membranes follows naturally in this scheme. The conncetion of our aproach with the Arnowitt--Deser--Misner representation in general relativity is illuminated.

Journal of High Energy Physics, 2011

The problem of gauge symmetry in higher derivative Lagrangian systems is discussed from a Hamilto... more The problem of gauge symmetry in higher derivative Lagrangian systems is discussed from a Hamiltonian point of view. The number of independent gauge parameters is shown to be in general less than the number of independent primary first classc onstraints, thereby distinguishing it from conventional first order systems. Different models have been considered as illustrative examples. In particular we show a direct connection between the gauge symmetry and the W-algebra for the rigid relativistic particle.

Modern Physics Letters A, 2006

A novel approach to the analysis of a noncommutative Chern--Simons gauge theory with matter coupl... more A novel approach to the analysis of a noncommutative Chern--Simons gauge theory with matter coupled in the adjoint representation has been discussed. The analysis is based on a recently proposed closed form Seiberg--Witten map which is exact in the noncommutative parameter.

Physical Review D, 2007

We exploit the Seiberg -Witten map technique to formulate the theory of gravity defined on a Lie ... more We exploit the Seiberg -Witten map technique to formulate the theory of gravity defined on a Lie algebraic noncommutative space time. Detailed expressions of the Seiberg -Witten maps for the gauge parameters, gauge potentials and the field strengths have been worked out. Our results demonstrate that notwithstanding the introduction of more general noncommutative structure there is no first order correction, exactly as happens for a canonical (i.e. constant) noncommutativity.

Physics Letters B, 2006

The 1 + 1 dimensional bosonised Schwinger model has been studied in a noncommutative scenario. Th... more The 1 + 1 dimensional bosonised Schwinger model has been studied in a noncommutative scenario. The theory in the reduced phase space exhibits a massive boson interacting with a background. The emergence of this background interaction is a novel feature due to noncommutativity. The structure of the theory ensures unitarity and causality.

Physics Letters B, 2006

The 1+1 dimensional bosonised Schwinger model has been studied in a noncommutative scenario. The ... more The 1+1 dimensional bosonised Schwinger model has been studied in a noncommutative scenario. The theory in the reduced phase space exhibits a massive boson interacting with a background. The emergence of this background interaction is a novel feature due to noncommutativity. The structure of the theory ensures unitarity and causality.

International Journal of Modern Physics A, 2009

A new analysis of the gauge invariances and their unity with diffeomorphism invariances in second... more A new analysis of the gauge invariances and their unity with diffeomorphism invariances in second order metric gravity is presented which strictly follows Dirac's constrained Hamiltonian approach.

Journal of Physics A-mathematical and General, 2002

A Hamiltonian analysis, showing the equivalence with the Lagrangian approach, is also done. Based... more A Hamiltonian analysis, showing the equivalence with the Lagrangian approach, is also done. Based on this Hamiltonian analysis, the quantization of the model is discussed.

Physical Review D, 2008

The leading order corrections to Reissner--Nordstrom solutions of the Einstein's equations on non... more The leading order corrections to Reissner--Nordstrom solutions of the Einstein's equations on noncommutative space time have been worked out basing on a noncommutative gauge theory of gravity. From the corrcted metric the horizons have been derived and the curvature scalar is also computed. The introduction of noncommutativity leads to the removal of the coordinate singularities.

Physical Review D, 2007

We exploit the Seiberg -- Witten map technique to formulate the theory of gravity defined on a Li... more We exploit the Seiberg -- Witten map technique to formulate the theory of gravity defined on a Lie algebraic noncommutative space time. Detailed expressions of the Seiberg -- Witten maps for the gauge parameters, gauge potentials and the field strengths have been worked out. Our results demonstrate that notwithstanding the introduction of more general noncommutative structure there is no first order correction, exactly as happens for a canonical (i.e. constant) noncommutativity.

Physical Review D, 2006

An apparent contradiction in the leading order correction to noncommutative (NC) gravity reported... more An apparent contradiction in the leading order correction to noncommutative (NC) gravity reported in the literature has been pointed out. We show by direct computation that actually there is no such controvarsy and all perturbative NC corrections start from the second order in the NC parameter. The role of symmetries in the vanishing of the first order correction is manifest in our calculation.

Modern Physics Letters A, 2007

The Maxwell--Chern--Simons model with scaler matter in the adjoint representation is analyzed fro... more The Maxwell--Chern--Simons model with scaler matter in the adjoint representation is analyzed from an alternative approach which is regular in the thetato0\theta \to 0thetato0 limit. This method is complementary to the usual operator formalism applied to explore the nonperturbative solutions which gives singular results in the thetato0\theta \to 0thetato0 limit. The absence of any regular non-trivial lumpy solutions satisfying B--P--S bound has been conclusively demonstrated.

Progress of Theoretical Physics, 1999

We compute the spin of both the topological and nontopological solitons of the Chern - Simons - H... more We compute the spin of both the topological and nontopological solitons of the Chern - Simons - Higgs model by using our approach based on constrained analysis. We also propose an extension of our method to the non - relativistic Chern - Simons models. The spin formula for both the relativistic and nonrelativistic theories turn out to be structurally identical. This form invariance manifests the topological origin of the Chern - Simons term responsible for inducing fractional spin. Also, some comparisons with the existing results are done.

Physical Review D, 2005

A master action for the bosonic p-brane, interpolating between the Nambu--Goto and Polyakov forma... more A master action for the bosonic p-brane, interpolating between the Nambu--Goto and Polyakov formalisms, is discussed. The fundamental arbitrariness of extended structures (p-brane) embeded in space time manifold has been exploited to build an independent metric in the brane world volume. The cosmological term for the generic case follows naturally in the scheme. The dynamics of the structure leads to a natural emergence of the A--D--M like split of this world volume. The role of the gauge symmetries vis-\`{a}-vis reparametrization symmetries is analyzed by a constrained Hamiltonian approach.

Physics Letters B, 2006

A calculational error was crept in the expression of the Hamiltonian (Eq. ) in original article. ... more A calculational error was crept in the expression of the Hamiltonian (Eq. ) in original article. We give the correct form of the Hamiltonian and also the correct form of the subsequent equations which depend on the Hamiltonian. The corrections are all of numerical nature and do not affect the physical conclusions in any fundamental way.

Modern Physics Letters A, 2007

The Maxwell-Chern-Simons model with scalar matter in the adjoint representation is analyzed from ... more The Maxwell-Chern-Simons model with scalar matter in the adjoint representation is analyzed from an alternative approach which is regular in the θ→0 limit. This method is complementary to the usual operator formalism applied to explore the nonperturbative solutions which give singular results in the θ→0 limit. The absence of any regular non-trivial lumpy solutions satisfying B-P-S bound has been conclusively demonstrated.

Physical Review D, 2008

The leading order corrections to Reissner-Nordstrom solutions of the Einstein's equations on nonc... more The leading order corrections to Reissner-Nordstrom solutions of the Einstein's equations on noncommutative space time have been worked out basing on a noncommutative gauge theory of gravity. From the corrcted metric the horizons have been derived and the curvature scalar is also computed. The introduction of noncommutativity leads to the removal of the coordinate singularities.

The direct and indirect Lagrangian representations of the planar harmonic oscillator have been di... more The direct and indirect Lagrangian representations of the planar harmonic oscillator have been discussed. The reduction of these Lagrangians in their basic forms characterising either chiral, or pseudo - chiral oscillators have been given. A Hamiltonian analysis, showing its equivalence with the Lagrangian formalism has also been provided. Finally, we show that the chiral and pseudo - chiral modes act as dynamical structures behind the Jordan - Schwinger realizations of the SU(2) and SU(1,1) algebras. Also, the SU(1,1) construction found here is different from the standard Jordan - Schwinger form.

Physical Review D, 2005

A master action for the bosonic p-brane, interpolating between the Nambu-Goto and Polyakov formal... more A master action for the bosonic p-brane, interpolating between the Nambu-Goto and Polyakov formalisms, is discussed. The fundamental arbitrariness of extended structures (p-brane) embeded in space time manifold has been exploited to build an independent metric in the brane world volume. The cosmological term for the generic case follows naturally in the scheme. The dynamics of the structure leads to a natural emergence of the A-D-M like split of this world volume. The role of the gauge symmetries vis-à-vis reparametrization symmetries is analyzed by a constrained Hamiltonian approach.

Modern Physics Letters A, 2008

The 1+1 dimensional bosonised Schwinger model with a generalized gauge invariant regularisation h... more The 1+1 dimensional bosonised Schwinger model with a generalized gauge invariant regularisation has been studied in a noncommutative scenario to investigate the fate of the transition from confinement to deconfinement observed in the commutative setting. We show that though the fuzziness of space time introduces new features in the confinement scenario, it does not affect the deconfining limit.

Physical Review D, 2004

A master action for bosonic strings and membranes, interpolating between the Nambu--Goto and Poly... more A master action for bosonic strings and membranes, interpolating between the Nambu--Goto and Polyakov formalisms, is discussed. The role of the gauge symmetries vis-\`{a}-vis reparametrization symmetries of the various actions is analyzed by a constrained Hamiltonian approach. This analysis reveals the difference between strings and higher branes, which is essentially tied to a degree of freedom count. The cosmological term for membranes follows naturally in this scheme. The conncetion of our aproach with the Arnowitt--Deser--Misner representation in general relativity is illuminated.

Journal of High Energy Physics, 2011

The problem of gauge symmetry in higher derivative Lagrangian systems is discussed from a Hamilto... more The problem of gauge symmetry in higher derivative Lagrangian systems is discussed from a Hamiltonian point of view. The number of independent gauge parameters is shown to be in general less than the number of independent primary first classc onstraints, thereby distinguishing it from conventional first order systems. Different models have been considered as illustrative examples. In particular we show a direct connection between the gauge symmetry and the W-algebra for the rigid relativistic particle.

Modern Physics Letters A, 2006

A novel approach to the analysis of a noncommutative Chern--Simons gauge theory with matter coupl... more A novel approach to the analysis of a noncommutative Chern--Simons gauge theory with matter coupled in the adjoint representation has been discussed. The analysis is based on a recently proposed closed form Seiberg--Witten map which is exact in the noncommutative parameter.

Physical Review D, 2007

We exploit the Seiberg -Witten map technique to formulate the theory of gravity defined on a Lie ... more We exploit the Seiberg -Witten map technique to formulate the theory of gravity defined on a Lie algebraic noncommutative space time. Detailed expressions of the Seiberg -Witten maps for the gauge parameters, gauge potentials and the field strengths have been worked out. Our results demonstrate that notwithstanding the introduction of more general noncommutative structure there is no first order correction, exactly as happens for a canonical (i.e. constant) noncommutativity.

Physics Letters B, 2006

The 1 + 1 dimensional bosonised Schwinger model has been studied in a noncommutative scenario. Th... more The 1 + 1 dimensional bosonised Schwinger model has been studied in a noncommutative scenario. The theory in the reduced phase space exhibits a massive boson interacting with a background. The emergence of this background interaction is a novel feature due to noncommutativity. The structure of the theory ensures unitarity and causality.

Physics Letters B, 2006

The 1+1 dimensional bosonised Schwinger model has been studied in a noncommutative scenario. The ... more The 1+1 dimensional bosonised Schwinger model has been studied in a noncommutative scenario. The theory in the reduced phase space exhibits a massive boson interacting with a background. The emergence of this background interaction is a novel feature due to noncommutativity. The structure of the theory ensures unitarity and causality.

International Journal of Modern Physics A, 2009

A new analysis of the gauge invariances and their unity with diffeomorphism invariances in second... more A new analysis of the gauge invariances and their unity with diffeomorphism invariances in second order metric gravity is presented which strictly follows Dirac's constrained Hamiltonian approach.

Journal of Physics A-mathematical and General, 2002

A Hamiltonian analysis, showing the equivalence with the Lagrangian approach, is also done. Based... more A Hamiltonian analysis, showing the equivalence with the Lagrangian approach, is also done. Based on this Hamiltonian analysis, the quantization of the model is discussed.

Physical Review D, 2008

The leading order corrections to Reissner--Nordstrom solutions of the Einstein's equations on non... more The leading order corrections to Reissner--Nordstrom solutions of the Einstein's equations on noncommutative space time have been worked out basing on a noncommutative gauge theory of gravity. From the corrcted metric the horizons have been derived and the curvature scalar is also computed. The introduction of noncommutativity leads to the removal of the coordinate singularities.

Physical Review D, 2007

We exploit the Seiberg -- Witten map technique to formulate the theory of gravity defined on a Li... more We exploit the Seiberg -- Witten map technique to formulate the theory of gravity defined on a Lie algebraic noncommutative space time. Detailed expressions of the Seiberg -- Witten maps for the gauge parameters, gauge potentials and the field strengths have been worked out. Our results demonstrate that notwithstanding the introduction of more general noncommutative structure there is no first order correction, exactly as happens for a canonical (i.e. constant) noncommutativity.

Physical Review D, 2006

An apparent contradiction in the leading order correction to noncommutative (NC) gravity reported... more An apparent contradiction in the leading order correction to noncommutative (NC) gravity reported in the literature has been pointed out. We show by direct computation that actually there is no such controvarsy and all perturbative NC corrections start from the second order in the NC parameter. The role of symmetries in the vanishing of the first order correction is manifest in our calculation.

Modern Physics Letters A, 2007

The Maxwell--Chern--Simons model with scaler matter in the adjoint representation is analyzed fro... more The Maxwell--Chern--Simons model with scaler matter in the adjoint representation is analyzed from an alternative approach which is regular in the thetato0\theta \to 0thetato0 limit. This method is complementary to the usual operator formalism applied to explore the nonperturbative solutions which gives singular results in the thetato0\theta \to 0thetato0 limit. The absence of any regular non-trivial lumpy solutions satisfying B--P--S bound has been conclusively demonstrated.

Progress of Theoretical Physics, 1999

We compute the spin of both the topological and nontopological solitons of the Chern - Simons - H... more We compute the spin of both the topological and nontopological solitons of the Chern - Simons - Higgs model by using our approach based on constrained analysis. We also propose an extension of our method to the non - relativistic Chern - Simons models. The spin formula for both the relativistic and nonrelativistic theories turn out to be structurally identical. This form invariance manifests the topological origin of the Chern - Simons term responsible for inducing fractional spin. Also, some comparisons with the existing results are done.

Physical Review D, 2005

A master action for the bosonic p-brane, interpolating between the Nambu--Goto and Polyakov forma... more A master action for the bosonic p-brane, interpolating between the Nambu--Goto and Polyakov formalisms, is discussed. The fundamental arbitrariness of extended structures (p-brane) embeded in space time manifold has been exploited to build an independent metric in the brane world volume. The cosmological term for the generic case follows naturally in the scheme. The dynamics of the structure leads to a natural emergence of the A--D--M like split of this world volume. The role of the gauge symmetries vis-\`{a}-vis reparametrization symmetries is analyzed by a constrained Hamiltonian approach.

Physics Letters B, 2006

A calculational error was crept in the expression of the Hamiltonian (Eq. ) in original article. ... more A calculational error was crept in the expression of the Hamiltonian (Eq. ) in original article. We give the correct form of the Hamiltonian and also the correct form of the subsequent equations which depend on the Hamiltonian. The corrections are all of numerical nature and do not affect the physical conclusions in any fundamental way.

Modern Physics Letters A, 2007

The Maxwell-Chern-Simons model with scalar matter in the adjoint representation is analyzed from ... more The Maxwell-Chern-Simons model with scalar matter in the adjoint representation is analyzed from an alternative approach which is regular in the θ→0 limit. This method is complementary to the usual operator formalism applied to explore the nonperturbative solutions which give singular results in the θ→0 limit. The absence of any regular non-trivial lumpy solutions satisfying B-P-S bound has been conclusively demonstrated.