Pradip Mukherjee - Academia.edu (original) (raw)

Papers by Pradip Mukherjee

Physics Letters B, 1997

We show that the degeneracy of topological solitons in the gauged O(3) nonlinear sigma model with... more We show that the degeneracy of topological solitons in the gauged O(3) nonlinear sigma model with Chern-Simons term may be removed by chosing a selfinteraction potential with symmetry-breaking minima. The topological solitons in the model has energy,charge,flux and angular momentum quantised in each topological sector.

Modern Physics Letters A, 2006

A novel approach to the analysis of a noncommutative Chern–Simons gauge theory with matter couple... 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.

Journal of Physics A: Mathematical and General, 2002

We provide a new canonical approach for studying the quantum mechanical damped harmonic oscillato... more We provide a new canonical approach for studying the quantum mechanical damped harmonic oscillator based on the doubling of degrees of freedom approach. Explicit expressions for Lagrangians of the elementary modes of the problem, characterising both forward and backward time propagations are given. 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.

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.

Classical and Quantum Gravity, 2010

Starting from matter lagrangean containing higher order derivative than the first, we construct t... more Starting from matter lagrangean containing higher order derivative than the first, we construct the Poincare gauge theory by localising the Poincare symmetry of the matter theory. The construction is shown to follow the usual geometric procedure of gravitational coupling, thereby buttressing the geometric interpretation of the Poincare gauge theory.

Arxiv preprint hep-th/0605123, 2006

The Maxwell–Chern–Simons model with scaler matter in the adjoint representation is analyzed from ... more The Maxwell–Chern–Simons model with scaler 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 ...

Arxiv preprint hep-th/0409248, 2004

A novel approach to the analysis of a noncommutative Chern–Simons gauge theory with matter couple... 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 ...

Arxiv preprint arXiv:0705.4358, 2007

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.

Arxiv preprint arXiv:0710.5847, 2007

The leading order corrections to Reissner–Nordstrom solutions of the Einstein's equations on... 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 noncom-mutative gauge theory of gravity. From the corrcted metric the horizons have been derived and the curvature ...

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 AD -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.

Arxiv preprint hep-th/0612297, 2006

Does every gauge theory has a Noncommutative companion? ... Anirban Saha∗ Department of Physics, ... more Does every gauge theory has a Noncommutative companion? ... Anirban Saha∗ Department of Physics, Sovarani Memorial College, Jagatballavpur, Howrah - , West Bengal, India. ... Anisur Rahaman† Department of Physics, Durgapur Govt. College, Durgapur - 713214, ...

Arxiv preprint hep-th/0611059, 2006

Anisur Rahaman‡ Department of Physics, Durgapur Govt. College, Durgapur - 713214, Burdwan, West B... more Anisur Rahaman‡ Department of Physics, Durgapur Govt. College, Durgapur - 713214, Burdwan, West Bengal, India. (Dated: February 2, 2008) The 1 + 1 dimensional bosonised Schwinger model with a generalized gauge invariant regularisation has been studied in a ...

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.

Physical Review D, 2016

A comprehensive account of a new structured algorithm for obtaining nonrelativistic diffeomorphis... more A comprehensive account of a new structured algorithm for obtaining nonrelativistic diffeomorphism invariances in both space and spacetime by gauging the Galilean symmetry in a generic nonrelativistic field theoretical model is provided. Various applications like the obtention of nonrelativistic diffeomorphism invariance, the introduction of Chern-Simons term and its role in fractional quantum Hall effect, induction of diffeomorphism in irrotational fluid model, abstraction of Newton-Cartan geometry and the emergence of Horava-Lifshitz gravity are discussed in details.

An algorithmic approach towards the formulation of non-relativistic diffeomorphism invariance has... more An algorithmic approach towards the formulation of non-relativistic diffeomorphism invariance has been developed which involves both matter and gauge fields. A step by step procedure has been provided which can accommodate all types of (abelian) gauge interaction. The algorithm is applied to the problem of a two dimensional electron moving under an external field and also under the Chern-Simons dynamics.

Physical Review D, 2021

A new action for nonrelativistic bosonic string in flat space time is shown to emerge from a holi... more A new action for nonrelativistic bosonic string in flat space time is shown to emerge from a holistic Hamiltonian analysis of the minimal action for the string. The proposed action under appropriate limits interpolates between the minimal action (Nambu Goto type) where the string metric is taken to be that induced by the embedding and the Polyakov type of action where the world sheet metric components are independent fields. The equivalence among different actions is established by a detailed study of symmetries based on constraint analysis. The interpolating action mooted here is shown to reveal the geometry of the string and may be useful in analyzing the nonrelativistic string coupled with curved background.

Physics Letters B

We obtain a new form for the action of a nonrelativistic particle coupled to Newtonian gravity. T... more We obtain a new form for the action of a nonrelativistic particle coupled to Newtonian gravity. The result is different from that existing in the literature which, as shown here, is riddled with problems and inconsistencies. The present derivation is based on the formalism of galilean gauge theory, introduced by us as an alternative method of analysing nonrelativistic symmetries in gravitational background.

Foundations of Physics, 2009

In this review article we discuss some of the applications of noncommutative geometry in physics ... more In this review article we discuss some of the applications of noncommutative geometry in physics that are of recent interest, such as noncommutative many-body systems, noncommutative extension of Special Theory of Relativity kinematics, twisted gauge theories and noncommutative gravity.

Physics Letters B, 1997

We show that the degeneracy of topological solitons in the gauged O(3) nonlinear sigma model with... more We show that the degeneracy of topological solitons in the gauged O(3) nonlinear sigma model with Chern-Simons term may be removed by chosing a selfinteraction potential with symmetry-breaking minima. The topological solitons in the model has energy,charge,flux and angular momentum quantised in each topological sector.

Modern Physics Letters A, 2006

A novel approach to the analysis of a noncommutative Chern–Simons gauge theory with matter couple... 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.

Journal of Physics A: Mathematical and General, 2002

We provide a new canonical approach for studying the quantum mechanical damped harmonic oscillato... more We provide a new canonical approach for studying the quantum mechanical damped harmonic oscillator based on the doubling of degrees of freedom approach. Explicit expressions for Lagrangians of the elementary modes of the problem, characterising both forward and backward time propagations are given. 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.

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.

Classical and Quantum Gravity, 2010

Starting from matter lagrangean containing higher order derivative than the first, we construct t... more Starting from matter lagrangean containing higher order derivative than the first, we construct the Poincare gauge theory by localising the Poincare symmetry of the matter theory. The construction is shown to follow the usual geometric procedure of gravitational coupling, thereby buttressing the geometric interpretation of the Poincare gauge theory.

Arxiv preprint hep-th/0605123, 2006

The Maxwell–Chern–Simons model with scaler matter in the adjoint representation is analyzed from ... more The Maxwell–Chern–Simons model with scaler 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 ...

Arxiv preprint hep-th/0409248, 2004

A novel approach to the analysis of a noncommutative Chern–Simons gauge theory with matter couple... 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 ...

Arxiv preprint arXiv:0705.4358, 2007

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.

Arxiv preprint arXiv:0710.5847, 2007

The leading order corrections to Reissner–Nordstrom solutions of the Einstein's equations on... 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 noncom-mutative gauge theory of gravity. From the corrcted metric the horizons have been derived and the curvature ...

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 AD -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.

Arxiv preprint hep-th/0612297, 2006

Does every gauge theory has a Noncommutative companion? ... Anirban Saha∗ Department of Physics, ... more Does every gauge theory has a Noncommutative companion? ... Anirban Saha∗ Department of Physics, Sovarani Memorial College, Jagatballavpur, Howrah - , West Bengal, India. ... Anisur Rahaman† Department of Physics, Durgapur Govt. College, Durgapur - 713214, ...

Arxiv preprint hep-th/0611059, 2006

Anisur Rahaman‡ Department of Physics, Durgapur Govt. College, Durgapur - 713214, Burdwan, West B... more Anisur Rahaman‡ Department of Physics, Durgapur Govt. College, Durgapur - 713214, Burdwan, West Bengal, India. (Dated: February 2, 2008) The 1 + 1 dimensional bosonised Schwinger model with a generalized gauge invariant regularisation has been studied in a ...

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.

Physical Review D, 2016

A comprehensive account of a new structured algorithm for obtaining nonrelativistic diffeomorphis... more A comprehensive account of a new structured algorithm for obtaining nonrelativistic diffeomorphism invariances in both space and spacetime by gauging the Galilean symmetry in a generic nonrelativistic field theoretical model is provided. Various applications like the obtention of nonrelativistic diffeomorphism invariance, the introduction of Chern-Simons term and its role in fractional quantum Hall effect, induction of diffeomorphism in irrotational fluid model, abstraction of Newton-Cartan geometry and the emergence of Horava-Lifshitz gravity are discussed in details.

An algorithmic approach towards the formulation of non-relativistic diffeomorphism invariance has... more An algorithmic approach towards the formulation of non-relativistic diffeomorphism invariance has been developed which involves both matter and gauge fields. A step by step procedure has been provided which can accommodate all types of (abelian) gauge interaction. The algorithm is applied to the problem of a two dimensional electron moving under an external field and also under the Chern-Simons dynamics.

Physical Review D, 2021

A new action for nonrelativistic bosonic string in flat space time is shown to emerge from a holi... more A new action for nonrelativistic bosonic string in flat space time is shown to emerge from a holistic Hamiltonian analysis of the minimal action for the string. The proposed action under appropriate limits interpolates between the minimal action (Nambu Goto type) where the string metric is taken to be that induced by the embedding and the Polyakov type of action where the world sheet metric components are independent fields. The equivalence among different actions is established by a detailed study of symmetries based on constraint analysis. The interpolating action mooted here is shown to reveal the geometry of the string and may be useful in analyzing the nonrelativistic string coupled with curved background.

Physics Letters B

We obtain a new form for the action of a nonrelativistic particle coupled to Newtonian gravity. T... more We obtain a new form for the action of a nonrelativistic particle coupled to Newtonian gravity. The result is different from that existing in the literature which, as shown here, is riddled with problems and inconsistencies. The present derivation is based on the formalism of galilean gauge theory, introduced by us as an alternative method of analysing nonrelativistic symmetries in gravitational background.

Foundations of Physics, 2009

In this review article we discuss some of the applications of noncommutative geometry in physics ... more In this review article we discuss some of the applications of noncommutative geometry in physics that are of recent interest, such as noncommutative many-body systems, noncommutative extension of Special Theory of Relativity kinematics, twisted gauge theories and noncommutative gravity.