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Related papers: Ghosts from Ghosts in the BRST Formalism

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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 first analyze the anti-BRST and double BRST structures of a certain higher derivative theory that has been known to possess BRST symmetry associated with its higher derivative structure. We discuss the invariance of this theory under…

High Energy Physics - Theory · Physics 2011-04-04 Mir Faizal , Mozzam Khan

We consider the BRST and superconformal properties of the ghost action of 2-D supergravity. Using the background spin structure on the worldsheet, we show that this action can be transformed by canonical field transformations to reach other…

High Energy Physics - Theory · Physics 2009-10-22 Laurent Baulieu

When one uses the Dirac bracket, second class constraints become first class. Hence, they are amenable to the BRST treatment characteristic of ordinary first class constraints. This observation is the starting point of a recent…

High Energy Physics - Theory · Physics 2009-10-22 M. Henneaux

By explicit calculation of the effect of a ghost-dependent canonical transformation of BRST-charge, we derive the corresponding transformation law for structure coefficients of hamiltonian gauge algebra under rotation of constraints.We show…

High Energy Physics - Theory · Physics 2010-11-05 Igor Batalin , Igor Tyutin

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

In this paper we analyse perturbative higher derivative gravity which is known to possess a BRST symmetry associated with its higher derivative structure. We first analyse the anti-BRST and double BRST symmetries of this theory. We then…

General Physics · Physics 2014-08-29 Mozzam Khan

The BRST cohomology group in the space of local functionals of the fields for the two-dimensional conformally invariant gravity is calculated. All classical local actions (ghost number equal to zero) and all candidate anomalies are given…

High Energy Physics - Theory · Physics 2014-11-18 Paul A. Blaga , L. Tataru , Ion V. Vancea

The Becchi-Rouet-Stora-Tyutin (BRST) transformations and equations of motion of a gravity-two-form-dilaton system are derived from the product of two Yang-Mills theories in a BRST covariant form, to linear approximation. The inclusion of…

High Energy Physics - Theory · Physics 2020-06-04 A. Anastasiou , L. Borsten , M. J. Duff , S. Nagy , M. Zoccali

BRST quantization is an elegant and powerful method to quantize theories with local symmetries. In this article we study the Hamiltonian BRST quantization of cosmological perturbations in a universe dominated by a scalar field, along with…

High Energy Physics - Theory · Physics 2016-11-10 Cristian Armendariz-Picon , Gizem Şengör

Consider a physical system for which a mathematically rigorous geometric quantization procedure exists. Now subject the system to a finite set of irreducible first class (bosonic) constraints. It is shown that there is a mathematically…

Differential Geometry · Mathematics 2008-11-26 Ronald Fulp

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

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

In this note we try to prove the absence of the ghosts in case of the general non-linear massive gravity action in Stuckelberg formalism. We argue that in order to find the explicit form of the Hamiltonian it is natural to start with the…

High Energy Physics - Theory · Physics 2017-03-22 J. Kluson

The BRST quantization of particle motion on the hypersurface $V_{(N-1)}$ embedded in Euclidean space $R_N$ is carried out both in Hamiltonian and Lagrangian formalism. Using Batalin-Fradkin-Fradkina-Tyutin (BFFT) formalism, the second class…

High Energy Physics - Theory · Physics 2022-05-30 Vipul Kumar Pandey

Consistent couplings among a set of scalar fields, two types of one-forms and a system of two-forms are investigated in the light of the Hamiltonian BRST cohomology, giving a four-dimensional nonlinear gauge theory. The emerging…

High Energy Physics - Theory · Physics 2009-11-07 C. Bizdadea , E. M. Cioroianu , S. O. Saliu

We develop an approach based on the Noether method to construct nilpotent BRST charges and BRST-invariant actions. We apply this approach first to the holomorphic part of the flat-space covariant superstring, and we find that the ghosts b,…

High Energy Physics - Theory · Physics 2009-11-07 P. A. Grassi , G. Policastro , P. van Nieuwenhuizen

We perform the Hamiltonian analysis of some form of the non-linear massive gravity action that is formulated in the Stuckelberg formalism. Following seminal analysis performed in arXiv:1203.5283 [hep-th] we find that this theory possesses…

High Energy Physics - Theory · Physics 2015-06-03 J. Kluson

The off-shell nilpotent BRST charge and the BRST invariant effective action for non-abelian BF topological theories over D-dimensional manifolds are explicitly constructed. These theories have the feature of being reducible with exactly D-3…

High Energy Physics - Theory · Physics 2016-09-06 M. I. Caicedo , R. Gianvittorio , A. Restuccia , J. Stephany

We present the BRST cohomologies of a class of constraint (super) Lie algebras as detour complexes. By giving physical interpretations to the components of detour complexes as gauge invariances, Bianchi identities and equations of motion we…

High Energy Physics - Theory · Physics 2014-11-20 D. Cherney , E. Latini , A. Waldron