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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

A new generalization of the vector Schwinger model is considered where gauge symmetry is broken at the quantum mechanical level. By proper extension of the phase space this broken symmetry has been restored. Also an equivalent first class…

High Energy Physics - Theory · Physics 2007-05-23 Anisur Rahaman

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…

High Energy Physics - Theory · Physics 2018-08-01 I. L. Buchbinder , P. M. Lavrov

We develop the BRST approach to Lagrangian formulation for massive higher integer spin fields on a flat space-time of arbitrary dimension. General procedure of gauge invariant Lagrangian construction describing the dynamics of massive…

High Energy Physics - Theory · Physics 2010-04-05 I. L. Buchbinder , V. A. Krykhtin

We present a BRST symmetric gaugeon formalism for the two-form gauge fields. A set of vector gaugeon fields is introduced as a quantum gauge freedom. One of the gaugeon fields satisfies a higher derivative field equation; this property is…

High Energy Physics - Theory · Physics 2019-12-06 Masataka Aochi , Ryusuke Endo , Hikaru Miura

Lagragian quantization rules for general gauge theories are proposed on a basis of a superfield formulation of the standard BRST symmetry. Independence of the $S$-matrix on a choice of the gauge is proved. The Ward identities in terms of…

High Energy Physics - Theory · Physics 2015-06-26 P. M. Lavrov , P. Yu. Moshin , A. A. Reshetnyak

We derive the different forms of BRST symmetry by using the Batalin-Fradkin-Vilkovisky formalism in a rigid rotor. The so called "dual-BRST" symmetry is obtained from usual BRST symmetry by making a canonical transformation in the ghost…

High Energy Physics - Theory · Physics 2015-05-18 Sumit Kumar Rai , Bhabani Prasad Mandal

We study the geometry of the Lagrangian Batalin--Vilkovisky theory on an antisymplectic manifold. We show that gauge symmetries of the BV-theory are essentially the symmetries of an even symplectic structure on the stationary surface of the…

High Energy Physics - Theory · Physics 2009-10-31 M A Grigoriev , A M Semikhatov , I Yu Tipunin

We present a new collective field formalism with two rather than one collective field to derive the antifield formalism for extended BRST invariant quantisation. This gives a direct and physical proof of the scheme of Batalin, Lavrov and…

High Energy Physics - Theory · Physics 2007-05-23 Frank De Jonghe

We reinvestigate Yokoyama's gaugeon formalism for the spontaneously broken Abelian gauge theory. Within the framework of the covariant linear gauges, we give a general gauge-fixing Lagrangian which includes the gauge field, the Goldstone…

High Energy Physics - Theory · Physics 2008-11-26 Hikaru Miura , Ryusuke Endo

It has been shown that by using a Lagrange multiplier field to ensure that the classical equations of motion are satisfied, radiative effects beyond one-loop order are eliminated. It has also been shown that through the contribution of some…

High Energy Physics - Theory · Physics 2024-04-18 D. G. C. McKeon , F. T. Brandt , S. Martins-Filho

We demonstrate that the nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry invariance of the Lagrangian density of a four (3 + 1)-dimensional (4D) non-Abelian 1-form gauge theory with Dirac fields can be captured within the…

High Energy Physics - Theory · Physics 2015-05-13 R. P. Malik , B. P. Mandal

Totally symmetric arbitrary spin massless and massive fields in AdS space are studied. For such fields, we obtain Lagrangians which are invariant under global BRST transformations. The Lagrangians are used for computation of partition…

High Energy Physics - Theory · Physics 2015-01-13 R. R. Metsaev

We show how to derive systematically new forms of the BRST transformations for a generic gauge fixed action. They arise after a symmetry of the gauge fixed action is found in the sector involving the Lagrange multiplier and its canonical…

High Energy Physics - Theory · Physics 2009-11-07 Victor O. Rivelles

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

We study an equivariant extension of the Batalin-Vilkovisky formalism for quantizing gauge theories. Namely, we introduce a general framework to encompass failures of the quantum master equation, and we apply it to the natural equivariant…

High Energy Physics - Theory · Physics 2021-01-20 Francesco Bonechi , Alberto S. Cattaneo , Jian Qiu , Maxim Zabzine

For a class of first order gauge theories it was shown that the proper solution of the BV-master equation can be obtained straightforwardly. Here we present the general condition which the gauge generators should satisfy to conclude that…

High Energy Physics - Theory · Physics 2015-06-26 O. F. Dayi

A mass parameter for the gauge bosons in gauge-fixed four-dimensional Yang-Mills theory can be accommodated in a local and manifestly BRST-invariant action. The construction is based on the Faddeev-Popov method involving a nonlinear…

High Energy Physics - Theory · Physics 2019-05-01 Shimasadat Asnafi , Holger Gies , Luca Zambelli

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

The BRST quantization of the Abelian Proca model is performed using the Batalin-Fradkin-Tyutin and the Batalin-Fradkin-Vilkovisky formalism. First, the BFT Hamiltonian method is applied in order to systematically convert a second class…

High Energy Physics - Theory · Physics 2009-10-30 Yong-Wan Kim , Mu-In Park , Young-Jai Park , Sean J. Yoon
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