scholarly journals BV QUANTIZATION OF A VECTOR-TENSOR GAUGE THEORY WITH TOPOLOGICAL COUPLING

1995 ◽  
Vol 10 (11) ◽  
pp. 917-924 ◽  
Author(s):  
R. AMORIM ◽  
J. BARCELOS-NETO
Keyword(s):  
Gauge Theory ◽  
Mass Term ◽  
Gauge Fields ◽  
Quantization Method ◽  
Vector Gauge ◽  
Bv Quantization ◽  
Topological Term

We use the BV quantization method for a theory with coupled tensor and vector gauge fields through a topological term. We consider in detail the reducibility of the tensorial sector as well as the appearance of a mass term in the effective vectorial theory.

scholarly journals Effective actions for dual massive (super) p-forms

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Sergei M. Kuzenko ◽  
Kai Turner
Keyword(s):  
Gauge Theory ◽  
Effective Action ◽  
Quantum Dynamics ◽  
Mass Term ◽  
Four Dimensions ◽  
De Rham ◽  
Form Model ◽  
Compact Expression ◽  
Tensor Multiplet ◽  
Topological Term

Abstract In d dimensions, the model for a massless p-form in curved space is known to be a reducible gauge theory for p > 1, and therefore its covariant quantisation cannot be carried out using the standard Faddeev-Popov scheme. However, adding a mass term and also introducing a Stueckelberg reformulation of the resulting p-form model, one ends up with an irreducible gauge theory which can be quantised à la Faddeev and Popov. We derive a compact expression for the massive p-form effective action, $$ {\Gamma}_p^{(m)} $$ Γ p m , in terms of the functional determinants of Hodge-de Rham operators. We then show that the effective actions $$ {\Gamma}_p^{(m)} $$ Γ p m and $$ {\Gamma}_{d-p-1}^{(m)} $$ Γ d − p − 1 m differ by a topological invariant. This is a generalisation of the known result in the massless case that the effective actions Γp and Γd−p−2 coincide modulo a topological term. Finally, our analysis is extended to the case of massive super p-forms coupled to background $$ \mathcal{N} $$ N = 1 supergravity in four dimensions. Specifically, we study the quantum dynamics of the following massive super p-forms: (i) vector multiplet; (ii) tensor multiplet; and (iii) three-form multiplet. It is demonstrated that the effective actions of the massive vector and tensor multiplets coincide. The effective action of the massive three-form is shown to be a sum of those corresponding to two massive scalar multiplets, modulo a topological term.

scholarly journals LANDAU CONFINING REPLICA MODEL FROM AN EXPLICITLY BREAKING OF A SU(3) GROUP WITHOUT AUXILIARY FIELDS

2013 ◽  
Vol 28 (31) ◽  
pp. 1350163 ◽  
Author(s):  
M. M. AMARAL ◽  
M. A. L. CAPRI ◽  
Y. E. CHIFARELLI ◽  
V. E. R. LEMES
Keyword(s):  
Gauge Theory ◽  
Mass Term ◽  
Landau Gauge ◽  
Gauge Fields ◽  
Soft Mass ◽  
Yang Mills ◽  
Group Content ◽  
Low Energies ◽  
Breaking Term

We propose a mechanism displaying gluon confinement, as defined by the behavior of the propagators, in a model of SU(2) gauge fields. The model originates from an explicitly broken SU(3) gauge theory giving rise to a replica model composed of three mixed SU(2) groups. The mechanism consists in the usual SU(3) Yang–Mills theory in the Landau gauge, with a soft breaking term in such a way as to change the field propagation and group content at low energies. The relation of this soft mass term with the Gribov problem is presented and the link between soft terms and the scaling and decoupling solutions is discussed.

BRST quantization of vector and axial-vector gauge theory

1993 ◽  
Vol 48 (10) ◽  
pp. 4916-4918
Author(s):  
Dae Sung Hwang ◽  
Chang-Yeong Lee
Keyword(s):  
Gauge Theory ◽  
Brst Quantization ◽  
Axial Vector ◽  
Vector Gauge

scholarly journals ON THE KALUZA–KLEIN GEOMETRIZATION OF THE ELECTROWEAK MODEL WITHIN A GAUGE THEORY OF THE FIVE-DIMENSIONAL LORENTZ GROUP

2006 ◽  
Vol 15 (05) ◽  
pp. 717-736
Author(s):  
ORCHIDEA MARIA LECIAN ◽  
GIOVANNI MONTANI
Keyword(s):  
Gauge Theory ◽  
Lorentz Group ◽  
Lagrangian Density ◽  
Gauge Fields ◽  
Normalization Factor ◽  
Current Term ◽  
Electroweak Model ◽  
Kaluza Klein

The geometrization of the Electroweak Model is achieved in a five-dimensional Riemann–Cartan framework. Matter spinorial fields are extended to 5 dimensions by the choice of a proper dependence on the extracoordinate and of a normalization factor. U (1) weak hypercharge gauge fields are obtained from a Kaluza–Klein scheme, while the tetradic projections of the extradimensional contortion fields are interpreted as SU (2) weak isospin gauge fields. SU (2) generators are derived by the identification of the weak isospin current to the extradimensional current term in the Lagrangian density of the local Lorentz group. The geometrized U (1) and SU (2) groups will provide the proper transformation laws for bosonic and spinorial fields. Spin connections will be found to be purely Riemannian.

Non-Abelian gauge theory from the Poisson bracket

2018 ◽  
Vol 33 (30) ◽  
pp. 1850182
Author(s):  
Mu Yi Chen ◽  
Su-Long Nyeo
Keyword(s):  
Gauge Theory ◽  
Poisson Bracket ◽  
Commutation Relation ◽  
Maxwell Equations ◽  
Dynamical Variable ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Generalized Poisson ◽  
Lie Algebraic Structure

The Hamiltonian of a nonrelativistic particle coupled to non-Abelian gauge fields is defined to construct a non-Abelian gauge theory. The Hamiltonian which includes isospin as a dynamical variable dictates the dynamics of the particle and isospin according to the Poisson bracket that incorporates the Lie algebraic structure of isospin. The generalized Poisson bracket allows us to derive Wong’s equations, which describe the dynamics of isospin, and the homogeneous (sourceless) equations for non-Abelian gauge fields by following Feynman’s proof of the homogeneous Maxwell equations.It is shown that the derivation of the homogeneous equations for non-Abelian gauge fields using the generalized Poisson bracket does not require that Wong’s equations be defined in the time-axial gauge, which was used with the commutation relation. The homogeneous equations derived by using the commutation relation are not Galilean and Lorentz invariant. However, by using the generalized Poisson bracket, it can be shown that the homogeneous equations are not only Galilean and Lorentz invariant but also gauge independent. In addition, the quantum ordering ambiguity that arises from using the commutation relation can be avoided when using the Poisson bracket.From the homogeneous equations, which define the “electric field” and “magnetic field” in terms of non-Abelian gauge fields, we construct the gauge and Lorentz invariant Lagrangian density and derive the inhomogeneous equations that describe the interaction of non-Abelian gauge fields with a particle.

FERMI-BOSE TRANSMUTATIONS INDUCED BY GAUGE FIELDS

1988 ◽  
Vol 01 (11n12) ◽  
pp. 455-455 ◽  
Author(s):  
A.M. POLYAKOV
Keyword(s):  
Gauge Theory ◽  
Charged Particles ◽  
Gauge Fields ◽  
Abelian Gauge ◽  
Abelian Gauge Theory ◽  
Chern Simons

We show that in (2+1) -dimensional abelian gauge theory with the Chern-Simons term in the action, charged particles reverse their statistics.

Classical fields in curved spacetime

2021 ◽  
pp. 294-313
Author(s):  
Iosif L. Buchbinder ◽  
Ilya L. Shapiro
Keyword(s):  
Vector Fields ◽  
Lorentz Invariance ◽  
Conformal Symmetry ◽  
Scalar Fields ◽  
Gauge Fields ◽  
Curved Spacetime ◽  
Curved Space ◽  
Spinor Fields ◽  
Vector Gauge ◽  
Classical Fields

This chapter discusses classical fields in an arbitrary Riemann spacetime. General considerations are followed by the formulation of scalar fields with non-minimal coupling. Spontaneous symmetry breaking in curved space is shown to provide the induced gravity action with a cosmological constant. The construction of spinor fields in curved spacetime is based on the notions of group theory from Part I and on the local Lorentz invariance. Massless vector fields (massless vector gauge fields) are described and the interactions between scalar, fermion and gauge fields formulated. A detailed discussion of classical conformal transformations and conformal symmetry for both matter fields and vacuum action is also provided.

scholarly journals Vortex Dynamics of Charge Carriers in the Quasi-Relativistic Graphene Model: High-Energy k → · p → Approximation

Symmetry ◽  
2020 ◽  
Vol 12 (2) ◽  
pp. 261 ◽  
Author(s):  
Halina Grushevskaya ◽  
George Krylov
Keyword(s):  
Band Structure ◽  
Cyclic Group ◽  
Vortex Dynamics ◽  
Mass Term ◽  
High Energy ◽  
Charge Carriers ◽  
Gauge Fields ◽  
Hamiltonian Approach ◽  
Relativistic Model

Within the earlier developed high-energy- k → · p → -Hamiltonian approach to describe graphene-like materials, the simulations of non-Abelian Zak phases and band structure of the quasi-relativistic graphene model with a number of flavors N = 3 have been performed in approximations with and without gauge fields (flavors). It has been shown that a Zak-phases set for non-Abelian Majorana-like excitations (modes) in Dirac valleys of the quasi-relativistic graphene model is the cyclic group Z 12 . This group is deformed into Z 8 at sufficiently high momenta due to deconfinement of the modes. Since the deconfinement removes the degeneracy of the eightfolding valleys, Weyl nodes and antinodes emerge. We offer that a Majorana-like mass term of the quasi-relativistic model affects the graphene band structure in the following way. Firstly, the inverse symmetry emerges in the graphene model with Majorana-like mass term, and secondly the mass term shifts the location of Weyl nodes and antinodes into the region of higher energies.

Gauge fields and gauge theory

2014 ◽  
pp. 126-134
Author(s):  
Tom Lancaster ◽  
Stephen J. Blundell
Keyword(s):  
Gauge Theory ◽  
Gauge Fields
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