Roberto Casalbuoni | Università degli Studi di Firenze (University of Florence) (original) (raw)
Papers by Roberto Casalbuoni
Concise Encyclopedia of Supersymmetry, 2004
Concise Encyclopedia of Supersymmetry, 2004
arXiv: History and Philosophy of Physics, 2018
The figure of Raoul Gatto, who died in 2017, is remembered here, with an illustration of his care... more The figure of Raoul Gatto, who died in 2017, is remembered here, with an illustration of his career and the main results of his research, along with the personal memories of some of those who worked with him.
We describe low energy physics in the CFL and LOFF phases by means of effective lagrangians. In t... more We describe low energy physics in the CFL and LOFF phases by means of effective lagrangians. In the CFL case we present also how to derive expressions for the parameters appearing in the lagrangian via weak coupling calculations taking advantage of the dimensional reduction of fermion physics around the Fermi surface. The Goldstone boson of the LOFF phase turns out to be a phonon satisfying an anisotropic dispersion relation.
Physics Letters B, 1987
We present the BRST quantlzatlon of the relatxwstlc spinning particle. We show that, as m the cas... more We present the BRST quantlzatlon of the relatxwstlc spinning particle. We show that, as m the case of the relat~wst~c scalar particle recently stu&ed by Neveu and West, the Pomcar6 symmetry in D dimensions extends to an IOSp(D, 212) symmetry. The ongm of this enlargement comes from the extra dynamical variables and ghosts necessary to describe the extended phase space. This space is spanned by the original dynamical variables plus the lagrangtan multlphers associated to the first-class constramts plus their conjugated momenta. A new feature arises due to the presence in the theory of an ant~commutmg first-class constraint (the one g~wng the D trac equation), which reqmres the mtroducuon of an anucommutmg Lagrange mulupher From this follows that the wave function must be Grassman-valued leading to a umque choice of anUcommutatlon relations for the Dirac field m the second quanuzed theory.
Concise Encyclopedia of Supersymmetry, 2004
International Journal of Modern Physics A, 2021
In this paper, we show that a quadratic Lagrangian, with no constraints, containing ordinary time... more In this paper, we show that a quadratic Lagrangian, with no constraints, containing ordinary time derivatives up to the order [Formula: see text] of [Formula: see text] dynamical variables, has [Formula: see text] symmetries consisting in the translation of the variables with solutions of the equations of motion. We construct explicitly the generators of these transformations and prove that they satisfy the Heisenberg algebra. We also analyze other specific cases which are not included in our previous statement: the Klein–Gordon Lagrangian, [Formula: see text] Fermi oscillators and the Dirac Lagrangian. In the first case, the system is described by an equation involving partial derivatives, the second case is described by Grassmann variables and the third shows both features. Furthermore, the Fermi oscillator and the Dirac field Lagrangians lead to second class constraints. We prove that also in these last two cases there are translational symmetries and we construct the algebra of ...
Journal of High Energy Physics, 2020
Starting from the coadjoint Poincaré algebra we construct a point particle relativistic model wit... more Starting from the coadjoint Poincaré algebra we construct a point particle relativistic model with an interpretation in terms of extra-dimensional variables. The starting coadjoint Poincaré algebra is able to induce a mechanism of dimensional reduction between the usual coordinates of the Minkowski space and the extra-dimensional variables which turn out to form an antisymmetric tensor under the Lorentz group. Analysing the dynamics of this model, we find that, in a particular limit, it is possible to integrate out the extra variables and determine their effect on the dynamics of the material point in the usual space time. The model describes a particle in D dimensions subject to a harmonic motion when one of the parameters of the model is negative. The result can be interpreted as a modification to the flat Minkowski metric with non trivial Riemann, Ricci tensors and scalar curvature.
Concise Encyclopedia of Supersymmetry, 2004
Physical Review D, 2018
We introduce a general method to construct, directly in configuration space, classes of dynamical... more We introduce a general method to construct, directly in configuration space, classes of dynamical systems invariant under generalizations of the Carroll and of the Galilei groups. The method does not make use of any non-relativistiv limiting procedure, although the starting point is a lagrangian Poincaré invariant in the full space. It consists in considering a space-time in D + 1 dimensions and partitioning it in two parts, the first Minkowskian and the second Euclidean. The action consists of two terms that are separately invariant under the Minkowskian and Euclidean partitioning. One of those contains a system of lagrangian multipliers that confine the system to a subspace. The other term defines the dynamics of the system. The total lagrangian is invariant under the Carroll or the Galilei groups with zero central charge.
![Research paper thumbnail of OSp[D+1,3 | 2] unifies the conformal symmetry and BRST](https://attachments.academia-assets.com/89357049/thumbnails/1.jpg)
](Physics Letters B, 1987
We show that the conformal transformations on the invariant metric of OSp [D, 212 ], which is the... more We show that the conformal transformations on the invariant metric of OSp [D, 212 ], which is the group unifying Lorentz and BRST symmetries, are generated by OSp[D+ 1,312], which thus unifies the conformal and BRST symmetries. We explicitly construct the generators for the scalar and for the spinning particle. We express the generators in terms of the energy-momentum tensor and study their action on the fields. We also study the linear realization of OSp [ D + 1, 312 ] on a space of D + 4 bosonic and 2 fermionic variables. Field quantization is also examined.
I libri de «Il Colle di Galileo», 2014
Enrico Fermi, Nobel Prize for Physics in 1938, taught at the Royal University of Florence. Fermi&... more Enrico Fermi, Nobel Prize for Physics in 1938, taught at the Royal University of Florence. Fermi's stay in Florence was short and only lasted two academic years (1924-25 and 1925-26); during those years, he taught "Mathematical Physics" and "Rational Mechanics” courses. This volume contributes to the reconstruction of this quite unknown period of Fermi's life, marked however by the publication of the Fermi statistics, which is also the foundation of the physics of semiconductors, and therefore of modern electronics. The text also features Enrico Fermi’s "Lessons of Rational Mechanics” to Science students and to students from the two-year preparatory course for Engineering studies during the aforementioned time span. The topics Enrico Fermi addressed in his lectures include kinematics and point dynamics, kinematics and statics of rigid systems and system statics in general. Lastly, the lessons contain «Lagrangia»’s equations and some elements of hydromecha...
Theory Meets Experiment
Beyond the SM, from MZ to M Planck, G. Altarelli dynamical supersymmetry breaking in supergravity... more Beyond the SM, from MZ to M Planck, G. Altarelli dynamical supersymmetry breaking in supergravity theories, J. Bagger survey of high energy astroparticle physics, B. Barish heavy flavor physics at the fermilab tevatron collider, G. Belletini jet physics at LEP, S. Catani possible puzzles in hadronic beta decays, A. Falk physics at scales of 10 28 cm from observations of the universe at scales of 10 28 cm, R. Kolb proton structure functions and small x physics, A. Martin on dark matter in supersymmetry, A. Masiero high precision measurement of electroweak theory at LEP, K. Monig searches for dark matter, L. Moscoso high-energy scattering and non-perturbative QCD, O. Nachtmann chiral effective theories for heavy mesons, G. Nardulli recent results from HERA, B. Naroska CP violation studies at e+e- factories, M. Piccolo physics with large neutrino detectors, L. Resvanis.
... S; Botterweck, F; Camarri, P; Casalbuoni, Roberto; Cavasinni, V; Cocolicchio, D; Colangelo, P... more ... S; Botterweck, F; Camarri, P; Casalbuoni, Roberto; Cavasinni, V; Cocolicchio, D; Colangelo, P; Cousinou, MC; De Curtis, S; Feruglio, Ferruccio; Fogli, GL; Garrido, L; González-Garciá, M Concepción; Gatto, R; Kneur, JL; Larbi, S; Medcalf, T; Merlo, JP; Moreno, JM; Moultaka, G ...
Concise Encyclopedia of Supersymmetry, 2004
Concise Encyclopedia of Supersymmetry, 2004
arXiv: History and Philosophy of Physics, 2018
The figure of Raoul Gatto, who died in 2017, is remembered here, with an illustration of his care... more The figure of Raoul Gatto, who died in 2017, is remembered here, with an illustration of his career and the main results of his research, along with the personal memories of some of those who worked with him.
We describe low energy physics in the CFL and LOFF phases by means of effective lagrangians. In t... more We describe low energy physics in the CFL and LOFF phases by means of effective lagrangians. In the CFL case we present also how to derive expressions for the parameters appearing in the lagrangian via weak coupling calculations taking advantage of the dimensional reduction of fermion physics around the Fermi surface. The Goldstone boson of the LOFF phase turns out to be a phonon satisfying an anisotropic dispersion relation.
Physics Letters B, 1987
We present the BRST quantlzatlon of the relatxwstlc spinning particle. We show that, as m the cas... more We present the BRST quantlzatlon of the relatxwstlc spinning particle. We show that, as m the case of the relat~wst~c scalar particle recently stu&ed by Neveu and West, the Pomcar6 symmetry in D dimensions extends to an IOSp(D, 212) symmetry. The ongm of this enlargement comes from the extra dynamical variables and ghosts necessary to describe the extended phase space. This space is spanned by the original dynamical variables plus the lagrangtan multlphers associated to the first-class constramts plus their conjugated momenta. A new feature arises due to the presence in the theory of an ant~commutmg first-class constraint (the one g~wng the D trac equation), which reqmres the mtroducuon of an anucommutmg Lagrange mulupher From this follows that the wave function must be Grassman-valued leading to a umque choice of anUcommutatlon relations for the Dirac field m the second quanuzed theory.
Concise Encyclopedia of Supersymmetry, 2004
International Journal of Modern Physics A, 2021
In this paper, we show that a quadratic Lagrangian, with no constraints, containing ordinary time... more In this paper, we show that a quadratic Lagrangian, with no constraints, containing ordinary time derivatives up to the order [Formula: see text] of [Formula: see text] dynamical variables, has [Formula: see text] symmetries consisting in the translation of the variables with solutions of the equations of motion. We construct explicitly the generators of these transformations and prove that they satisfy the Heisenberg algebra. We also analyze other specific cases which are not included in our previous statement: the Klein–Gordon Lagrangian, [Formula: see text] Fermi oscillators and the Dirac Lagrangian. In the first case, the system is described by an equation involving partial derivatives, the second case is described by Grassmann variables and the third shows both features. Furthermore, the Fermi oscillator and the Dirac field Lagrangians lead to second class constraints. We prove that also in these last two cases there are translational symmetries and we construct the algebra of ...
Journal of High Energy Physics, 2020
Starting from the coadjoint Poincaré algebra we construct a point particle relativistic model wit... more Starting from the coadjoint Poincaré algebra we construct a point particle relativistic model with an interpretation in terms of extra-dimensional variables. The starting coadjoint Poincaré algebra is able to induce a mechanism of dimensional reduction between the usual coordinates of the Minkowski space and the extra-dimensional variables which turn out to form an antisymmetric tensor under the Lorentz group. Analysing the dynamics of this model, we find that, in a particular limit, it is possible to integrate out the extra variables and determine their effect on the dynamics of the material point in the usual space time. The model describes a particle in D dimensions subject to a harmonic motion when one of the parameters of the model is negative. The result can be interpreted as a modification to the flat Minkowski metric with non trivial Riemann, Ricci tensors and scalar curvature.
Concise Encyclopedia of Supersymmetry, 2004
Physical Review D, 2018
We introduce a general method to construct, directly in configuration space, classes of dynamical... more We introduce a general method to construct, directly in configuration space, classes of dynamical systems invariant under generalizations of the Carroll and of the Galilei groups. The method does not make use of any non-relativistiv limiting procedure, although the starting point is a lagrangian Poincaré invariant in the full space. It consists in considering a space-time in D + 1 dimensions and partitioning it in two parts, the first Minkowskian and the second Euclidean. The action consists of two terms that are separately invariant under the Minkowskian and Euclidean partitioning. One of those contains a system of lagrangian multipliers that confine the system to a subspace. The other term defines the dynamics of the system. The total lagrangian is invariant under the Carroll or the Galilei groups with zero central charge.
Physics Letters B, 1987
We show that the conformal transformations on the invariant metric of OSp [D, 212 ], which is the... more We show that the conformal transformations on the invariant metric of OSp [D, 212 ], which is the group unifying Lorentz and BRST symmetries, are generated by OSp[D+ 1,312], which thus unifies the conformal and BRST symmetries. We explicitly construct the generators for the scalar and for the spinning particle. We express the generators in terms of the energy-momentum tensor and study their action on the fields. We also study the linear realization of OSp [ D + 1, 312 ] on a space of D + 4 bosonic and 2 fermionic variables. Field quantization is also examined.
I libri de «Il Colle di Galileo», 2014
Enrico Fermi, Nobel Prize for Physics in 1938, taught at the Royal University of Florence. Fermi&... more Enrico Fermi, Nobel Prize for Physics in 1938, taught at the Royal University of Florence. Fermi's stay in Florence was short and only lasted two academic years (1924-25 and 1925-26); during those years, he taught "Mathematical Physics" and "Rational Mechanics” courses. This volume contributes to the reconstruction of this quite unknown period of Fermi's life, marked however by the publication of the Fermi statistics, which is also the foundation of the physics of semiconductors, and therefore of modern electronics. The text also features Enrico Fermi’s "Lessons of Rational Mechanics” to Science students and to students from the two-year preparatory course for Engineering studies during the aforementioned time span. The topics Enrico Fermi addressed in his lectures include kinematics and point dynamics, kinematics and statics of rigid systems and system statics in general. Lastly, the lessons contain «Lagrangia»’s equations and some elements of hydromecha...
Theory Meets Experiment
Beyond the SM, from MZ to M Planck, G. Altarelli dynamical supersymmetry breaking in supergravity... more Beyond the SM, from MZ to M Planck, G. Altarelli dynamical supersymmetry breaking in supergravity theories, J. Bagger survey of high energy astroparticle physics, B. Barish heavy flavor physics at the fermilab tevatron collider, G. Belletini jet physics at LEP, S. Catani possible puzzles in hadronic beta decays, A. Falk physics at scales of 10 28 cm from observations of the universe at scales of 10 28 cm, R. Kolb proton structure functions and small x physics, A. Martin on dark matter in supersymmetry, A. Masiero high precision measurement of electroweak theory at LEP, K. Monig searches for dark matter, L. Moscoso high-energy scattering and non-perturbative QCD, O. Nachtmann chiral effective theories for heavy mesons, G. Nardulli recent results from HERA, B. Naroska CP violation studies at e+e- factories, M. Piccolo physics with large neutrino detectors, L. Resvanis.
... S; Botterweck, F; Camarri, P; Casalbuoni, Roberto; Cavasinni, V; Cocolicchio, D; Colangelo, P... more ... S; Botterweck, F; Camarri, P; Casalbuoni, Roberto; Cavasinni, V; Cocolicchio, D; Colangelo, P; Cousinou, MC; De Curtis, S; Feruglio, Ferruccio; Fogli, GL; Garrido, L; González-Garciá, M Concepción; Gatto, R; Kneur, JL; Larbi, S; Medcalf, T; Merlo, JP; Moreno, JM; Moultaka, G ...