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A systematic procedure is proposed for deriving all the gauge symmetries of the general, not necessarily variational, equations of motion. For the variational equations, this procedure reduces to the Dirac-Bergmann algorithm for the…

Mathematical Physics · Physics 2015-05-13 S. L. Lyakhovich , A. A. Sharapov

Chern-Simons theory coupled to complex scalars is quantized on the light- front in the local light-cone gauge by constructing the self-consistent hamiltonian theory. It is shown that no inconsistency arises on using two local gauge-fixing…

High Energy Physics - Theory · Physics 2007-05-23 Prem P. Srivastava

We study the aspects of constructing the interactions for the higher spin fields in the framework of BRST approach. The main object of such an approach is BRST operator acting in the appropriate Fock space and building on the base of…

High Energy Physics - Theory · Physics 2023-11-14 I. L. Buchbinder , A. A. Reshetnyak

The necessary and sufficient conditions to construct consistent Lagrangian formulation for irreducible interacting massless higher-spin (HS) fields on $d$-dimensional Minkowski space within approach with incomplete BRST operator and…

High Energy Physics - Theory · Physics 2025-11-17 A. Reshetnyak

The constrained Hamiltonian formalism is worked out for the theories where the gauge symmetry parameters are unfree, being restricted by differential equations. The Hamiltonian BFV-BRST embedding is elaborated for this class of gauge…

High Energy Physics - Theory · Physics 2020-01-15 V. A. Abakumova , I. Yu. Karataeva , S. L. Lyakhovich

Consistent interactions that can be added to a free, Abelian gauge theory comprising a collection of BF models and a set of three-form gauge fields are constructed from the deformation of the solution to the master equation based on…

High Energy Physics - Theory · Physics 2007-05-23 C. Bizdadea , E. M. Cioroianu , S. C. Sararu

This paper explores the relationship between Cartan symmetries, dynamical similarities, and dynamical symmetries in contact Hamiltonian mechanics. By introducing an alternative decomposition of vector fields, we characterize these…

Mathematical Physics · Physics 2026-04-09 Federico Zadra , Marcello Seri

A new Hamiltonian model is introduced to study the spectrum of light hadrons. It combines relativistic field theory with elements of the constituent quark model. In addition to the standard linear confining and pseudoscalar meson exchange…

High Energy Physics - Phenomenology · Physics 2015-06-11 W. Xie , P. Wang

The hyperspherical adiabatic method is used to derive stability criteria for Bose-Einstein condensates in deformed external fields. An analytical approximation is obtained. For constant volume the highest stability is found for spherical…

Soft Condensed Matter · Physics 2009-11-10 O. Sørensen , D. V. Fedorov , A. S. Jensen

Preliminary results toward the analysis of the Hamiltonian structure of multifield theories describing complex materials are mustered: we involve the invariance under the action of a general Lie group of the balance of substructural…

Mathematical Physics · Physics 2007-05-23 Gianfranco Capriz , Paolo Maria Mariano

A Hamiltonian analysis of models given by a three-form field with a generic potential coupled to general relativity in four dimensions is performed. This kind of fields are naturally present in string theory and cosmological scenarios. In…

General Relativity and Quantum Cosmology · Physics 2018-06-27 David Brizuela , Iñaki Garay

We analyse the Abelian $N=1$ super-Chern-Simons model coupled to parity-preserving matter in linear and non-linear gauges with exact BRST invariance. Then we analyse the theory in field/antifield formulation to discuss the model at quantum…

High Energy Physics - Theory · Physics 2014-01-14 Sudhaker Upadhyay

We consider a deformation of the BF theory in any dimension by means of the antifield BRST formalism. Possible consistent interaction terms for the action and the gauge symmetries are analyzed and we find a new class of topological gauge…

High Energy Physics - Theory · Physics 2010-05-28 Noriaki Ikeda

Reducible constrained Hamiltonian systems are quantized accordingly an irreducible BRST manner. Our procedure is based on the construction of an irreducible theory which is physically equivalent with the original one. The equivalence…

High Energy Physics - Theory · Physics 2008-11-26 C. Bizdadea , S. O. Saliu

We consider the general gauge theory with a closed irreducible gauge algebra possessing the non-anomalous global (super)symmetry in the case when the gauge fixing procedure violates the global invariance of classical action. The theory is…

High Energy Physics - Theory · Physics 2018-08-01 I. L. Buchbinder , P. M. Lavrov

We study a three-dimensional symmetric Chern-Simons field theory with a general covariance and it turns out that the original Chern-Simons theory is just a gauge fixed action of the symmetric Chern-Simons theory whose constraint algebra…

High Energy Physics - Theory · Physics 2007-05-23 Won Tae Kim , Myung Seok Yoon

We give the complete list of all first-order consistent interaction vertices for a set of exterior form gauge fields of form degree >1, described in the free limit by the standard Maxwell-like action. A special attention is paid to the…

High Energy Physics - Theory · Physics 2009-12-30 Marc Henneaux , Bernard Knaepen

Consistent nontrivial interactions within a special class of covariant mixed-symmetry type tensor gauge fields of degree three are constructed from the deformation of the solution to the master equation combined with specific cohomological…

High Energy Physics - Theory · Physics 2008-11-26 C. Bizdadea , E. M. Cioroianu , I. Negru , S. O. Saliu

An irreducible Hamiltonian BRST quantization method for reducible first-class systems is proposed. The general theory is illustrated on a two-stage reducible model, the link with the standard reducible BRST treatment being also emphasized.

High Energy Physics - Theory · Physics 2016-12-28 C. Bizdadea , E. M. Cioroianu , S. O. Saliu

We show how to cast an interacting system of M--branes into manifestly gauge-invariant form using an arrangement of higher-dimensional Dirac surfaces. Classical M--theory has a cohomologically nontrivial and noncommutative set of gauge…

High Energy Physics - Theory · Physics 2009-11-10 J. Kalkkinen , K. S. Stelle