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For free-field theories associated with BRST first-quantized gauge systems, we identify generalized auxiliary fields and pure gauge variables already at the first-quantized level as the fields associated with algebraically contractible…

High Energy Physics - Theory · Physics 2009-11-10 Glenn Barnich , Maxim Grigoriev , Alexei Semikhatov , Ilya Tipunin

In this article a description of the reduced phase space of the standard model coupled to gravity is given. For space or time-like boundaries this is achieved as the reduction of a symplectic space with respect to a coisotropic submanifold…

Mathematical Physics · Physics 2024-09-30 Giovanni Canepa , Alberto S. Cattaneo , Filippo Fila-Robattino , Manuel Tecchiolli

The unfree gauge symmetry implies that gauge variation of the action functional vanishes provided for the gauge parameters are restricted by the differential equations. The unfree gauge symmetry is shown to lead to the global conserved…

High Energy Physics - Theory · Physics 2021-12-14 V. A. Abakumova , I. Yu. Karataeva , S. L. Lyakhovich

In this paper we will discuss Faddeev-Popov method for field theories with a gauge symmetry in an abstract way. We will then develope a general formalism for dealing with the BRST symmetry. This formalism will make it possible to analyse…

General Physics · Physics 2014-08-29 Suhail Ahmad

The BRST-anti-BRST covariant extension is suggested for the split involution quantization scheme for the second class constrained theories. The constraint algebra generating equations involve on equal footing a pair of BRST charges for…

High Energy Physics - Theory · Physics 2009-10-31 I. Yu. Karataeva , S. L. Lyakhovich

In the context of algebraic renormalization, the extended antifield formalism is used to derive the general forms of the anomaly consistency condition and of the Callan-Symanzik equation for generic gauge theories. A local version of the…

High Energy Physics - Theory · Physics 2016-09-06 Glenn Barnich

We discuss the so called gauge invariant quantization of anomalous gauge field theory, originally due to Faddeev and Shatashvili. It is pointed out that the further non invariance of relevant path integral measures poses a problem when one…

High Energy Physics - Theory · Physics 2007-05-23 M. Martellini , M. Spreafico , K. Yoshida

Most of the known models describing the fundamental interactions have a gauge freedom. In the standard path integral, it is necessary to "fix the gauge" in order to avoid integrating over unphysical degrees of freedom. Gauge independence…

High Energy Physics - Theory · Physics 2007-05-23 Andrea Fuster , Marc Henneaux , Axel Maas

We study gauge and gravitational field theories in which the gauge fixing conditions are imposed as constraints on classical fields. Quantization of fluctuations can be performed in a BRST invariant manner, while the main novelty is that…

High Energy Physics - Theory · Physics 2007-05-23 Gregory Gabadadze , Yanwen Shang

In this article I first give an abbreviated history of string theory and then describe the recently-conjectured field-string duality. This suggests a class of nonsupersymmetric gauge theories which are conformal (CGT) to leading order of…

High Energy Physics - Theory · Physics 2007-05-23 P. H. Frampton

In this paper we apply the Symplectic Projectors Method to gauge theories with second class constraints in various space-time dimensions. The conclusion is that this method is equivalent to the standard quantization methods. Although it…

High Energy Physics - Theory · Physics 2007-05-23 M. A. Santos

We study the relation between the lagrangian field-antifield formalism and the BRST invariant phase space formulation of gauge theories. Starting from the Batalin-Fradkin-Vilkovisky unitarized action, we demonstrate in a deductive way the…

High Energy Physics - Theory · Physics 2009-11-18 Heinz J. Rothe , Klaus D. Rothe

We address the treatment of gauge theories within the framework that is formed from combining the machinery of noncommutative symplectic geometry, as introduced by Kontsevich, with Costello's approach to effective gauge field theories…

Quantum Algebra · Mathematics 2025-05-23 Alastair Hamilton

Gauge symmetries lead to first-class constraints. This assertion is of course true only for non trivial gauge symmetries, i.e., gauge symmetries that act non trivially on-shell on the dynamical variables. We illustrate this well-appreciated…

High Energy Physics - Theory · Physics 2010-04-22 Marc Henneaux , Axel Kleinschmidt , Gustavo Lucena Gómez

The metric-affine gauge theory of gravity provides a broad framework in which gauge theories of gravity can be formulated. In this article we fit metric-affine gravity into the covariant BRST--antifield formalism in order to obtain gauge…

High Energy Physics - Theory · Physics 2009-10-30 Frank Gronwald

We present an extension of previous results (hep-th/0105215)on the quantization of general gauge theories within the BRST-antBRST invatiant Lagrangian scheme in general coordinates, namely, we consider the case when the base manifold of…

High Energy Physics - Theory · Physics 2014-11-18 B. Geyer , P. M. Lavrov

We generalize the method of superfield Lagrangian BRST quantization in the part of the gauge-fixing procedure and obtain a quantization method that can be considered as an alternative to the Batalin - Vilkovisky formalism.

High Energy Physics - Theory · Physics 2007-05-23 P. M. Lavrov , P. Yu. Moshin

The recently proposed generalized field method for solving the master equation of Batalin and Vilkovisky is applied to a gauge theory of quadratic Lie algebras in 2-dimensions. The charge corresponding to BRST symmetry derived from this…

High Energy Physics - Theory · Physics 2015-06-26 O. F. Dayi

The Lagrangian Batalin-Vilkovisky (BV) formalism gives the rules for the quantisation of a general class of gauge theories which contain all the theories known up to now. It does, however, not only give a recipe to obtain a gauge fixed…

High Energy Physics - Theory · Physics 2007-05-23 Antoine Van Proeyen

We investigate the gauge symmetry and gauge fixing dependence properties of the effective average action for quantum gravity models of general form. Using the background field formalism and the standard BRST-based arguments, one can…

High Energy Physics - Theory · Physics 2020-03-11 Vítor F. Barra , Peter M. Lavrov , Eduardo Antonio dos Reis , Tibério de Paula Netto , Ilya L. Shapiro
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