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We generalize the BRST transformations in Abelian rank-2 tensor field theory by allowing the parameter to be finite and field dependent and show that such transformations play crucial role in studying the Abelian 2-form gauge theory in…

High Energy Physics - Theory · Physics 2013-11-26 Sudhaker Upadhyay , Bhabani Prasad Mandal

The BRST quantization of strings is revisited and the derivation of the path integral measure for scattering amplitudes is streamlined. Gauge invariances due to zero modes in the ghost sector are taken into account by using the…

High Energy Physics - Theory · Physics 2009-11-11 Ben Craps , Kostas Skenderis

We study the 3-form gauge theory in the context of generalized BRST formulation. We construct the finite field-dependent BRST (FFBRST) symmetry for such a theory. The generating functional for 3-form gauge theory in noncovariant gauge is…

High Energy Physics - Theory · Physics 2013-04-09 Sudhaker Upadhyay , Manoj Kumar Dwivedi , Bhabani Prasad Mandal

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.

High Energy Physics - Theory · Physics 2008-02-03 Hyun Seok Yang , Bum-Hoon Lee

We study the quantization of two versions of unimodular gravity, namely, fully diffeomorphism-invariant unimodular gravity and unimodular gravity with fixed metric determinant utilizing standard path integral approach. We derive the BRST…

High Energy Physics - Theory · Physics 2017-05-08 S. Upadhyay , M. Oksanen , R. Bufalo

We develop a method to derive the on-shell invariant quantum action of the supergravity in such a way that the quartic ghost interaction term is explicity determined. First, we reinvestigate the simple supergravity in terms of a principal…

High Energy Physics - Theory · Physics 2009-11-07 N. Djeghloul , M. Tahiri

We construct the field dependent mixed BRST (combination of BRST and anti-BRST) transformations for pure gauge theories. These are shown to be an exact nilpotent symmetry of both the effective action as well as the generating functional for…

High Energy Physics - Theory · Physics 2012-07-30 Sudhaker Upadhyay , Bhabani Prasad Mandal

The possibility of non-trivial representations of the gauge group on wavefunctionals of a gauge invariant quantum field theory leads to a generation of mass for intermediate vector and tensor bosons. The mass parameters m show up as central…

High Energy Physics - Theory · Physics 2009-10-31 M. Calixto , V. Aldaya

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…

High Energy Physics - Theory · Physics 2008-11-26 Nelson R. F. Braga

We show that it is possible to formulate the most general first-class gauge algebra of the operator formalism by only using BRST-invariant constraints. In particular, we extend a previous construction for irreducible gauge algebras to the…

High Energy Physics - Theory · Physics 2008-11-26 I. A. Batalin , K. Bering

A non-abelian ``self-dual'' massive gauge theory describing a massive spin one physical mode is presented. The action is expressed in terms of two independent connections on a principle bundle over $2+1$ space-time. The kinetic terms are…

High Energy Physics - Theory · Physics 2014-11-18 P. J. Ariasa , L. Leal , A. Restuccia

In previous work done by us and coworkers, we have been able to construct a local, non-Abelian gauge invariant action with a mass parameter, based on the nonlocal gauge invariant mass dimension two operator F1/D^2F. The renormalizability of…

High Energy Physics - Theory · Physics 2008-11-26 David Dudal , Nele Vandersickel , Henri Verschelde

Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we demonstrate the existence of the novel off-shell nilpotent (anti-)dual-BRST symmetries in the context of a six (5 + 1)-dimensional (6D) free Abelian 3-form gauge theory.…

High Energy Physics - Theory · Physics 2012-07-11 R. Kumar , S. Krishna , A. Shukla , R. P. Malik

We show the existence of a co(dual)-BRST symmetry for the usual BRST invariant Lagrangian density of an Abelian gauge theory in two dimensions of space-time where a U(1) gauge field is coupled to the Noether conserved current (constructed…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

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

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 some aspects of the topological features of a non-interacting two (1+1)-dimensional Abelian gauge theory in the framework of superfield formalism. This theory is described by a BRST invariant Lagrangian density in the Feynman…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

In this paper we study the nonabelian, gauge invariant and asymptotically free quantum gauge theory with a mass parameter introduced in hep-th/0605050. We develop the Feynman diagram technique, calculate the mass and coupling constant…

High Energy Physics - Theory · Physics 2012-04-24 A. Sevostyanov

The local action of an SU(2) gauge theory in general covariant Abelian gauges and the associated equivariant BRST symmetry that guarantees the perturbative renormalizability of the model are given. A global SL(2,R) symmetry of the model is…

High Energy Physics - Theory · Physics 2017-08-23 Martin Schaden

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…

High Energy Physics - Theory · Physics 2016-08-24 Victor O. Rivelles