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Related papers: Antisymplectic Gauge Theories

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We reformulate the Lagrange deformed field-antifield BV -formalism suggested, in terms of the general Euler vector field $N$ generated by the antisymplectic potential. That $N$ generalizes, in a natural anticanonically-invariant manner, the…

High Energy Physics - Theory · Physics 2017-09-15 Igor A. Batalin , Peter M. Lavrov

This article, which is a review with substantial original material, is meant to offer a comprehensive description of the superfield representations of the BRST and anti-BRST algebras and their applications to some field-theoretic topics.…

High Energy Physics - Theory · Physics 2021-08-12 L. Bonora , R. P. Malik

An extension of the Field-Antifield formalism to treat anomalous gauge theories with a closed, irreducible classical gauge algebra is proposed. Introducing extra degrees of freedom, we construct the gauge transformations for these new…

High Energy Physics - Theory · Physics 2016-08-14 Joaquim Gomis , Jordi París

We study the generalization of noncommutative gauge theories to the case of orthogonal and symplectic groups. We find out that this is possible, since we are allowed to define orthogonal and symplectic subgroups of noncommutative unitary…

High Energy Physics - Theory · Physics 2009-10-07 L. Bonora , M. Schnabl , M. M. Sheikh-Jabbari , A. Tomasiello

A general method of the BRST--anti-BRST symmetric conversion of second-class constraints is presented. It yields a pair of commuting and nilpotent BRST-type charges that can be naturally regarded as BRST and anti-BRST ones. Interchanging…

High Energy Physics - Theory · Physics 2009-11-10 I. A. Batalin , M. A. Grigoriev

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

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

The BFV-BRST Hamiltonian quantization method is presented for the theories where the gauge parameters are restricted by differential equations. The general formalism is exemplified by the Maxwell-like theory of symmetric tensor field.

High Energy Physics - Theory · Physics 2021-09-28 V. A. Abakumova , S. L. Lyakhovich

It is shown that anti-BRST invariance in quantum gauge theories can be considered as the quantized version of the symmetry of classical gauge theories with respect to different gauge fixing mechanisms.

High Energy Physics - Theory · Physics 2017-02-07 Amir Abbass Varshovi

A superspace formulation for the Batalin Vilkovisky formalism (also called field-antifield quantization ) with extended BRST invariance (BRST and anti-BRST invariance ) for gauge theories with closed algebra is presented. In contrast to a…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga , Sergio M. de Souza

The present article introduces a generalization of the (multisymplectic) Hamiltonian field theory for a Lagrangian density, allowing the formulation of this kind of field theories for variational problem of more general nature than those…

Mathematical Physics · Physics 2025-09-15 Guadalupe Quijón , Santiago Capriotti

We describe gauge-fixing at the level of virtual paths in the path integral as a non-symplectic BRST-type of flow on the path phase space. As a consequence a gauge-fixed, non-local symplectic structure arises. Restoring of locality is…

High Energy Physics - Theory · Physics 2009-10-30 K. Bering

Using the background-field method we demonstrate the Becchi-Rouet-Stora-Tyutin (BRST) structure of counterterms in a broad class of gauge theories. Put simply, we show that gauge invariance is preserved by renormalization in local gauge…

High Energy Physics - Theory · Physics 2018-08-01 Andrei O. Barvinsky , Diego Blas , Mario Herrero-Valea , Sergey M. Sibiryakov , Christian F. Steinwachs

We generalize the usual gauge transformations connected with the 1-form gauge potential to the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the four (3+1)-dimensional (4D) topologically massive non-Abelian…

High Energy Physics - Theory · Physics 2011-04-01 R. Kumar , R. P. Malik

Two-dimensional supergravity theory is quantized as an anomalous gauge theory. In the Batalin-Fradkin (BF) formalism, the anomaly-canceling super-Liouville fields are introduced to identify the original second-class constrained system with…

High Energy Physics - Theory · Physics 2016-09-06 T. Fujiwara , Y. Igarashi , R. Kuriki , T. Tabei

We show that any BRST invariant quantum action with open or closed gauge algebra has a corresponding local background gauge invariance. If the BRST symmetry is anomalous, but the anomaly can be removed in the antifield formalism, then the…

High Energy Physics - Theory · Physics 2009-10-28 Kostas Skenderis

The concept of gauge invariance is one of the most subtle and useful concepts in modern theoretical physics. It is one of the Standard Model cornerstones. The main benefit due to the gauge invariance is that it can permit the comprehension…

High Energy Physics - Theory · Physics 2015-06-05 E. M. C. Abreu , J. Ananias Neto , A. C. R. Mendes , C. Neves , W. Oliveira

Employing the Batalin-Vilkovisky (BV) formalism, we present a systematic and simple prescription to derive (first-class) constraints including the Hamiltonian constraint (a.k.a. flow equation), which plays pivotal role in holographic…

High Energy Physics - Theory · Physics 2016-12-15 Ken Kikuchi

We couple three-dimensional Chern-Simons gauge theory with BF theory and study deformations of the theory by means of the antifield BRST formalism. We analyze all possible consistent interaction terms for the action under physical…

High Energy Physics - Theory · Physics 2014-11-18 Noriaki Ikeda

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