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Related papers: BRST theory without Hamiltonian and Lagrangian

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We examine the status of massive gauge theories, such as those usually obtained by spontaneous symmetry breakdown, from the viewpoint of causal (Epstein-Glaser) renormalization. The BRS formulation of gauge invariance in this framework,…

High Energy Physics - Theory · Physics 2014-11-20 Michael Duetsch , Jose M. Gracia-Bondia , Florian Scheck , Joseph C. Varilly

In this paper, the Hamiltonian structure of the bosonized chiral Schwinger model (BCSM) is analyzed. From the consistency condition of the constraints obtained from the Dirac method, we can observe that this model presents, for certain…

A framework for background independent open-string field theory is proposed. The approach involves using the BV formalism -- in a way suggested by recent developments in closed-string field theory -- to implicitly define a gauge invariant…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

It is well-known that principal bundles and associated bundles underlie the geometric structure of classical gauge field theories. In this paper, we explore the reformulation of gauge theories in terms of Lie algebroids and their associated…

High Energy Physics - Theory · Physics 2021-10-04 Luca Ciambelli , Robert G. Leigh

We construct a new model for relativistic particle on the noncommutative surface in $(2+1)$ dimensions, using the symplectic formalism of constrained systems and embedding the model on an extended phase space. We suggest a short cut to…

High Energy Physics - Theory · Physics 2015-07-10 Salman Abarghouei Nejad , Mehdi Dehghani , Majid Monemzadeh

In this letter a new gauge invariant, metric independent action is introduced from which Witten's Topological Quantum Field Theory may be obtained after gauge fixing using standard BRST techniques. In our model the BRST algebra of…

High Energy Physics - Theory · Physics 2009-10-28 R. Gianvittorio , A. Restuccia , J. Stephany

We apply the BV formalism to non-commutative field theories, introduce BRST symmetry, and gauge-fix the models. Interestingly, we find that treating the full gauge symmetry in non-commutative models can lead to reducible gauge algebras. As…

High Energy Physics - Theory · Physics 2014-11-20 Klaus Bering , Harald Grosse

We derive the various forms of BRST symmetry using Batalin-Fradkin-Vilkovisky approach in the case of Abelian 2-form gauge theory. We show that the so-called dual BRST symmetry is not an independent symmetry but the generalization of BRST…

High Energy Physics - Theory · Physics 2011-05-12 Sumit Kumar Rai , Bhabani Prasad Mandal

Using BRST-cohomological techniques, we analyze the consistent deformations of theories describing free tensor gauge fields whose symmetries are represented by Young tableaux made of two columns of equal length p, p>1. Under the assumptions…

High Energy Physics - Theory · Physics 2009-11-10 Nicolas Boulanger , Sandrine Cnockaert

We construct Hamiltonian dynamics of the generalized spherically symmetric gravitational model in extended phase space. We start from the Faddeev - Popov effective action with gauge-fixing and ghost terms, making use of gauge conditions in…

General Relativity and Quantum Cosmology · Physics 2014-06-13 T. P. Shestakova

Podolsky's electromagnetism which explains some of unresolved problems of usual QED has been investigated in the framework of finite field dependent (FFBRST) BRST transformation. In this generalized QED (GQED), BRST invariant effective…

High Energy Physics - Theory · Physics 2018-10-17 Krishnanand Kr. Mishra , Bhabani Prasad Mandal

The physical phase space of the relativistic top, as defined by Hanson and Regge, is expressed in terms of canonical coordinates of the Poincar\'e group manifold. The system is described in the Hamiltonian formalism by the mass shell…

High Energy Physics - Theory · Physics 2014-11-18 N. K. Nielsen , U. J. Quaade

We show that the specific operators V^a appearing in the triplectic formalism can be viewed as the anti-Hamiltonian vector fields generated by a second rank irreducible Sp(2) tensor. This allows for an explicit realization of the triplectic…

High Energy Physics - Theory · Physics 2009-11-07 Bodo Geyer , Petr Lavrov , Armen Nersessian

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 simple pseudo-Hamiltonian formulation is proposed for the linear inhomogeneous systems of ODEs. In contrast to the usual Hamiltonian mechanics, our approach is based on the use of non-stationary Poisson brackets, i.e. corresponding…

Quantum Physics · Physics 2009-11-11 V. G. Kupriyanov , S. L. Lyakhovich , A. A. Sharapov

Gauge invariant Lagrangian descriptions of irreducible and reducible half-integer higher-spin mixed-symmetric massless and massive representations of the Poincare group with off-shell algebraic constraints are constructed within a…

High Energy Physics - Theory · Physics 2018-10-25 Alexander A. Reshetnyak

We give a quantum field theoretic derivation of the formula obeyed by the Ray-Singer torsion on product manifolds. Such a derivation has proved elusive up to now. We use a BRST formalism which introduces the idea of an infinite dimensional…

High Energy Physics - Theory · Physics 2009-10-22 Charles Nash , Denjoe O' Connor

Hamiltonian BRST formalism (FV formalism) includes many auxiliary fields without explanation. Its path-integration has a simple form by using BRST charge, but its construction is quite mechanically and hard to understand physical meaning.…

High Energy Physics - Theory · Physics 2008-02-03 Naohisa Ogawa

We give a generalized Lagrangian density of 1+1 Dimensional O(3) nonlinear sigma model with subsidiary constraints, different Lagrange multiplier fields and topological term, find a lost intrinsic constraint condition, convert the…

High Energy Physics - Theory · Physics 2008-11-26 Yong-Chang Huang , Kai-Hua Yang , Xi-Guo Lee

We propose an extended BRST invariant Lagrangian quantization scheme of general gauge theories based on explicit realization of "modified triplectic algebra" in general coordinates. All the known Lagrangian quantization schemes based on the…

High Energy Physics - Theory · Physics 2007-05-23 B. Geyer , P. Lavrov , A. Nersessian
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