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We exploit the geometrical superfield formalism to derive the local, covariant and continuous Becchi-Rouet-Stora-Tyutin (BRST) symmetry transformations and the non-local, non-covariant and continuous dual-BRST symmetry transformations for…

高能物理 - 理论 · 物理学 2008-11-26 R. P. Malik

A method is proposed of constructing quantum correlators for a general gauge system whose classical equations of motion do not necessarily follow from the least action principle. The idea of the method is in assigning a certain BRST…

高能物理 - 理论 · 物理学 2009-11-11 S. L. Lyakhovich , A. A. Sharapov

A constrained BRST-BV Lagrangian formulation for totally symmetric massless HS fields in a $d$-dimensional Minkowski space is extended to a non-minimal constrained BRST-BV Lagrangian formulation by using a non-minimal BRST operator…

高能物理 - 理论 · 物理学 2021-03-05 Čestmir Burdík , Alexander A. Reshetnyak

We analyse in detail the local BRST cohomology in Einstein-Yang-Mills theory using the antifield formalism. We do not restrict the Lagrangian to be the sum of the standard Hilbert and Yang-Mills Lagrangians, but allow for more general…

高能物理 - 理论 · 物理学 2015-06-26 Glenn Barnich , Friedemann Brandt , Marc Henneaux

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 propose a superfield formalism of Lagrangian BRST-antiBRST quantization of arbitrary gauge theories in general coordinates with the base manifold of fields and antifields desribed in terms of both bosonic and fermionic variables.

高能物理 - 理论 · 物理学 2009-11-10 B. Geyer , D. M. Gitman , P. M. Lavrov , P. Yu. Moshin

We consider massive half-integer higher spin fields coupled to an external constant electromagnetic field in flat space of an arbitrary dimension and construct a gauge invariant Lagrangian in the linear approximation in the external field.…

高能物理 - 理论 · 物理学 2015-05-05 I. L. Buchbinder , V. A. Krykhtin , M. Tsulaia

Following our recent study [P.Yu. Moshin, A.A. Reshetnyak, Nucl. Phys. B 888 (2014) 92], we discuss the notion of finite BRST-antiBRST transformations, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting (both global and…

高能物理 - 理论 · 物理学 2014-12-11 Pavel Yu. Moshin , Alexander A. Reshetnyak

The Einstein-Hilbert action in the context of Higher derivative theories is considered for finding out their BRST symmetries. Being a constraint system, the model is transformed in the minisuperspace language with the FRLW background and…

高能物理 - 理论 · 物理学 2016-07-19 Sudhaker Upadhyay , Biswajit Paul

The Lagrangian Sp(3) BRST symmetry for irreducible gauge theories is constructed in the framework of homological perturbation theory. The canonical generator of this extended symmetry is shown to exist. A gauge-fixing procedure specific to…

高能物理 - 理论 · 物理学 2009-11-07 C. Bizdadea , S. O. Saliu

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

We introduce the notion of finite BRST-antiBRST transformations for constrained dynamical systems in the generalized Hamiltonian formalism, both global and field-dependent, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting Grassmann…

高能物理 - 理论 · 物理学 2014-10-16 Pavel Yu. Moshin , Alexander A. Reshetnyak

We review the results of our research [A.A. Reshetnyak, IJMPA 29 (2014) 1450184; P.Yu. Moshin, A.A. Reshetnyak, Nucl. Phys. B 888 (2014) 92; P.Yu. Moshin, A.A. Reshetnyak, Phys. Lett. B 739 (2014) 110; P.Yu. Moshin, A.A. Reshetnyak,…

高能物理 - 理论 · 物理学 2014-12-30 Alexander A. Reshetnyak

We show that the Grassmannian independence of the super Lagrangian density, expressed in terms of the superfields defined on a (4, 2)-dimensional supermanifold, is a clear-cut proof for the Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST…

高能物理 - 理论 · 物理学 2015-05-13 R. P. Malik , B. P. Mandal

We show that the BV (Batalin Vilkovisky) action, formulated with an extended BRST symmetry (including the shift symmetry), is also invariant under an extended anti-BRST transformation (where the antifields are the parameters of the…

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

The quantum action principle of renormalisation theory is applied to the antibracket-antifield formalism for Hamiltonian systems. General results on the local BRST cohomology allow one to prove that the anomalies appear in the time…

高能物理 - 理论 · 物理学 2009-10-22 G. Barnich

The possibility of having a gauge fixing term in the effective Lagrangian that is not a quadratic expression has been explored in spin-two theories so as to have a propagator that is both traceless and transverse. We first show how this…

高能物理 - 理论 · 物理学 2014-11-18 F. T. Brandt , D. G. C. McKeon

We illustrate the cosmological Friedmann-Robertson-Walker (FRW) models realized as gauge theory in the extended configuration space with its Becchi-Rouet-Stora-Tyutin (BRST) invariance upto total derivative. To investigate the model in…

广义相对论与量子宇宙学 · 物理学 2015-10-01 Sudhaker Upadhyay

In the framework of superfield formalism, we demonstrate the existence of a new local, covariant, continuous and nilpotent (dual-BRST) symmetry for the BRST invariant Lagrangian density of a self-interacting two ($1 + 1$)-dimensional (2D)…

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

Starting from the requirement that a Lagrangian field theory be invariant under both Schwinger-Dyson BRST and Schwinger-Dyson anti-BRST symmetry, we derive the BRST--anti-BRST analogue of the Batalin-Vilkovisky formalism. This is done…

高能物理 - 理论 · 物理学 2009-10-22 P. H. Damgaard , F. De Jonghe