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In our previous paper, we have presented a covariant BRST quantization of unimodular gravity which may account for the smallness of the cosmological constant, and have shown that the physical degrees of freedom in the theory are the same as…

High Energy Physics - Theory · Physics 2022-05-25 Taichiro Kugo , Ryuichi Nakayama , Nobuyoshi Ohta

We discuss the BRST cohomology and exhibit a connection between the Hodge decomposition theorem and the topological properties of a two dimensional free non-Abelian gauge theory having no interaction with matter fields. The topological…

High Energy Physics - Theory · Physics 2014-11-18 R. P. Malik

In this thesis, we compute within the field-antifield formalism the local BRST cohomology of various theories involving p-form gauge fields. A particular emphasis is put on the cohomology groups corresponding to the consistent local…

High Energy Physics - Theory · Physics 2007-05-23 Bernard Knaepen

In this work we take into consideration a generalization of Gauge Theories based on the analysis of the structural characteristics of Maxwell theory, which can be considered as the prototype of such kind of theories (Maxwell-like). Such…

General Relativity and Quantum Cosmology · Physics 2017-04-03 Germano Resconi , Ignazio Licata , Christian Corda

We exploit the techniques of Bonora-Tonin superfield formalism to derive the off-shell nilpotent and absolutely anticommuting (anti-)BRST as well as (anti-)co-BRST symmetry transformations for the (1+1)-dimensional (2D) bosonized vector…

High Energy Physics - Theory · Physics 2016-11-16 Saurabh Gupta , R. Kumar

We first review self-dual (chiral) gauge field theories by studying their Lorentz non-covariant and Lorentz covariant formulations. We next construct a non-Abelian self-dual two-form gauge theory in six dimensions with a spatial direction…

High Energy Physics - Theory · Physics 2014-09-19 Kuo-Wei Huang

The noncovariant duality symmetric action put forward by Schwarz-Sen is quantized by means of the Dirac bracket quantization procedure. The resulting quantum theory is shown to be, nevertheless, relativistically invariant.

High Energy Physics - Theory · Physics 2009-10-30 H. O. Girotti

The supersymmetric model developed by Witten to study the equivariant cohomology of a manifold with an isometric circle action is derived from the BRST quantization of a simple classical model. The gauge-fixing process is carefully…

High Energy Physics - Theory · Physics 2009-11-11 Alice Rogers

Superconvergence relations for the transverse gauge field propagator can be used in order to show that the corresponding gauge quanta are not elements of the physical state space, as defined by the BRST algebra. With a given gauge group,…

High Energy Physics - Theory · Physics 2007-05-23 Reinhard Oehme

We give a solution to the classical master equation of the Hamiltonian BRST-anti-BRST quantization scheme in the case of reducible gauge theories. Our approach does not require redefining constraints or reducibility functions. Classical…

Mathematical Physics · Physics 2014-09-26 A. V. Bratchikov

The quantisation of gauge theories usually procedes through the introduction of ghost fields and BRST symmetry. In the case of quantum gravity in the presence of boundaries, the BRST-invariant boundary value problem for the gauge field…

High Energy Physics - Theory · Physics 2013-12-04 Ian G. Moss

We construct detour complexes from the BRST quantization of worldline diffeomorphism invariant systems. This yields a method to efficiently extract physical quantum field theories from particle models with first class constraint algebras.…

High Energy Physics - Theory · Physics 2009-05-12 F. Bastianelli , O. Corradini , A. Waldron

In this paper we develop an irreducible antifield BRST-anti-BRST formalism for reducible gauge theories.

High Energy Physics - Theory · Physics 2009-10-31 C. Bizdadea , I. Negru , S. O. Saliu

Constrained hamiltonian structure of noncommutative gauge theory for the gauge group U(1) is discussed. Constraints are shown to be first class, although, they do not give an Abelian algebra in terms of Poisson brackets. The related…

High Energy Physics - Theory · Physics 2009-10-31 Omer F. Dayi

We consider (1+1) dimensional theory for a single self-dual chiral boson as classical model for gauge theory. Using Batalin-Fradkin-Vilkovisky (BFV) technique the nilpotent BRST and anti BRST symmetry transformations for this theory have…

High Energy Physics - Theory · Physics 2011-12-05 Sudhaker Upadhyay , Bhabani Prasad Mandal

The quantization of the Brink-Schwarz-Casalbuoni superparticle is performed in an explicitly covariant way using the antibracket formalism. Since an infinite number of ghost fields are required, within a suitable off-shell twistor-like…

High Energy Physics - Theory · Physics 2009-10-31 P. A. Grassi , G. Policastro , M. Porrati

We analyze the BRST field-antifield construction for generalized gauge fields consisting of massless mixed representations of the Lorentz Group and we calculate all the strictly gauge invariant interactions between them. All these…

High Energy Physics - Theory · Physics 2009-10-31 J. Antonio Garcia , Bernard Knaepen

We analyze the problems with the so called gauge invariant quantization of the anomalous gauge field theories originary due to Faddeev and Shatashvili (FS). Our analysis bring to a generalization of FS method which allows to construct a…

High Energy Physics - Theory · Physics 2011-09-09 M. Martellini , K. Yoshida , M. Spreafico

We apply the BV formalism to non-commutative field theories, introduce BRST symmetry, and gauge-fix the models. Interestingly, we find that treating the full gauge symmetry in non-commutative models can lead to reducible gauge algebras. As…

High Energy Physics - Theory · Physics 2014-11-20 Klaus Bering , Harald Grosse

We derive the complete set of off-shell nilpotent and absolutely anticommuting Becchi-Rouet-Stora-Tyutin (BRST), anti-BRST and (anti-)co-BRST symmetry transformations for all the fields of the modified version of two (1+1)-dimensional (2D)…

High Energy Physics - Theory · Physics 2015-12-29 A. Shukla , S. Krishna , R. P. Malik