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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.

高能物理 - 理论 · 物理学 2017-02-07 Amir Abbass Varshovi

It is shown how the BRST quantization can be applied to a gauge invariant sector of theories with anomalously broken symmetries. This result is used to show that shifting the anomalies to a classically trivial sector of fields (Wess-Zumino…

高能物理 - 理论 · 物理学 2008-11-26 Nelson R. F. Braga

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…

高能物理 - 理论 · 物理学 2009-10-28 Kostas Skenderis

We find non-covariant local symmetries in the Abelian gauge theories. The N\"other charges generating these symmetries are nilpotent as BRST charges, and they impose constraints on the physical states.

高能物理 - 理论 · 物理学 2008-02-03 Hyun Seok Yang , Bum-Hoon Lee

A new local, covariant and nilpotent symmetry is shown to exist for the interacting BRST invariant U(1) gauge theory in two dimensions of space-time. Under this new symmetry, it is the gauge-fixing term that remains invariant and the…

高能物理 - 理论 · 物理学 2011-07-19 R. P. Malik

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…

高能物理 - 理论 · 物理学 2018-08-01 I. L. Buchbinder , P. M. Lavrov

We present several forms in which the BRST transformations of QCD in covariant gauges can be cast. They can be non-local and even not manifestly covariant. These transformations may be obtained in the path integral formalism by non standard…

高能物理 - 理论 · 物理学 2016-08-24 Victor O. Rivelles

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…

高能物理 - 理论 · 物理学 2009-11-10 I. A. Batalin , M. A. Grigoriev

In this paper we analyse a certain type of higher derivative gauge theories which are known to possess BRST symmetry associated with their higher derivative structure. We first show that these theories are also invariant under a anti-BRST…

综合物理 · 物理学 2014-08-29 Mozzam Khan

In the extended antifield formalism, a quantum BRST differential for anomalous gauge theories is constructed. Local BRST cohomological classes are characterized, besides the form degree and the ghost number, by the length of their descents…

高能物理 - 理论 · 物理学 2009-10-31 Glenn Barnich

General structure of BRST-invariant constraint algebra is established, in its commutator and antibracket forms, by means of formulation of algebra-generating equations in yet more extended phase space. New ghost-type variables behave as…

高能物理 - 理论 · 物理学 2009-11-10 Igor Batalin , Igor Tyutin

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…

高能物理 - 理论 · 物理学 2011-05-12 Sumit Kumar Rai , Bhabani Prasad Mandal

We discuss the algebraic way of solving the descent equations corresponding to the BRST consistency condition for the gauge anomalies and the Chern--Simons terms on a nontrivial bundle. The method of decomposing the exterior derivative as a…

高能物理 - 理论 · 物理学 2009-10-30 P. John , O. Moritsch , M. Schweda , S. P. Sorella

We demonstrate how nonlocal regularization is applied to gauge invariant models with spontaneous symmetry breaking. Motivated by the ability to find a nonlocal BRST invariance that leads to the decoupling of longitudinal gauge bosons from…

高能物理 - 理论 · 物理学 2009-11-07 M. A. Clayton

We scrutinize the many known forms of BRST symmetries, as well as some new ones, realized within a prototypical first-class system. Similarities and differences among ordinary BRST, anti-BRST, dual-BRST and anti-dual-BRST symmetries are…

高能物理 - 理论 · 物理学 2022-10-28 Bhabani Prasad Mandal , Sumit Kumar Rai , Ronaldo Thibes

It is proposed that a non-Abelian adjoint two-form in BF type theories transform inhomogeneously under the gauge group. The resulting restrictions on invariant actions are discussed. The auxiliary one-form which is required for maintaining…

高能物理 - 理论 · 物理学 2008-11-26 Amitabha Lahiri

The BRST quantization of a gauge theory in noncommutative geometry is carried out in the ``matrix derivative" approach. BRST/anti-BRST transformation rules are obtained by applying the horizontality condition, in the superconnection…

高能物理 - 理论 · 物理学 2009-10-28 Chang-Yeong Lee , Dae Sung Hwang , Yuval Ne'eman

We display properties of the general formalism which associates to any given gauge symmetry a topological action and a system of topological BRST and anti-BRST equations. We emphasize the distinction between the antighosts of the…

高能物理 - 理论 · 物理学 2008-02-03 Laurent Baulieu

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…

高能物理 - 理论 · 物理学 2021-12-14 V. A. Abakumova , I. Yu. Karataeva , S. L. Lyakhovich

Extended BRST invariance (BRST plus anti-BRST invariances) provides in principle a natural way of introducing the complete gauge fixing structure associated to a gauge field theory in the minimum representation of the algebra. However, as…

高能物理 - 理论 · 物理学 2008-11-26 Nelson R. F. Braga , Cresus F. L. Godinho
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