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The paper is devoted to the study of BRST charge in perturbed two dimensional conformal field theory. The main goal is to write the operator equation expressing the conservation law of BRST charge in perturbed theory in terms of purely…

High Energy Physics - Theory · Physics 2008-11-26 Anton M. Zeitlin

The irreducible Hamiltonian BRST symmetry for p-form gauge theories with Stueckelberg coupling is derived. The cornerstone of our approach is represented by the construction of an irreducible theory that is equivalent from the point of view…

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

Boundary conformal field theory (BCFT) is simply the study of conformal field theory (CFT) in domains with a boundary. It gains its significance because, in some ways, it is mathematically simpler: the algebraic and geometric structures of…

High Energy Physics - Theory · Physics 2008-02-20 John Cardy

We provide a BRST symmetric version of Yokoyama's Type I gaugeon formalism for quantum electrodynamics; the similar theory by Izawa can be considered as a BRST symmetrized Type II theory. With the help of the BRST symmetry, Yokoyama's…

High Energy Physics - Theory · Physics 2011-04-15 M. Koseki , M. Sato , R. Endo

We give a formal proof of the equivalence of Hamiltonian and Lagrangian BRST quantization. This is done for a generic $Sp(2)$-symmetric theory using flat (Darboux) coordinates. A new quantum master equation is derived in a Hamiltonian…

High Energy Physics - Theory · Physics 2015-06-26 K. Bering

The BRST-anti-BRST covariant extension is suggested for the split involution quantization scheme for the second class constrained theories. The constraint algebra generating equations involve on equal footing a pair of BRST charges for…

High Energy Physics - Theory · Physics 2009-10-31 I. Yu. Karataeva , S. L. Lyakhovich

The relevance of the BRST cohomology of the extended antifield formalism is briefly discussed along with standard homological tools needed for its computation.

High Energy Physics - Theory · Physics 2007-05-23 Glenn Barnich

Most of the known models describing the fundamental interactions have a gauge freedom. In the standard path integral, it is necessary to "fix the gauge" in order to avoid integrating over unphysical degrees of freedom. Gauge independence…

High Energy Physics - Theory · Physics 2007-05-23 Andrea Fuster , Marc Henneaux , Axel Maas

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

Spin-5/2 gauge fields are quantized in an irreducible way within both the BRST and BRST-anti-BRST manners. To this end, we transform the reducible generating set into an irreducible one, such that the physical observables corresponding to…

High Energy Physics - Theory · Physics 2009-10-31 C. Bizdadea , S. O. Saliu , E. N. Tîmneanu

Even though flt is a number theoretic result we prove that the result depends on the topological as well as the field structure of the underlying space.

General Mathematics · Mathematics 2008-02-19 Vinod Kumar P. B. , K. Babu Joseph

We derive the various forms of BRST symmetry using Batalin-Fradkin-Vilkovisky approach in the case of Abelian 2-form gauge theory. We show that the so-called dual BRST symmetry is not an independent symmetry but the generalization of BRST…

High Energy Physics - Theory · Physics 2011-05-12 Sumit Kumar Rai , Bhabani Prasad Mandal

In this note, we construct a BRST invariant cubic vertex for massless fields of arbitrary mixed symmetry in flat space-time. The construction is based on the vertex given in bosonic Open String Field Theory. The algebra of gauge…

High Energy Physics - Theory · Physics 2008-11-26 A. Fotopoulos , M. Tsulaia

General structure of BRST-invariant constraint algebra is established, in its commutator and antibracket forms, by means of formulation of algebra-generating equations in yet more extended phase space. New ghost-type variables behave as…

High Energy Physics - Theory · Physics 2009-11-10 Igor Batalin , Igor Tyutin

We investigate the gauge symmetry and gauge fixing dependence properties of the effective average action for quantum gravity models of general form. Using the background field formalism and the standard BRST-based arguments, one can…

High Energy Physics - Theory · Physics 2020-03-11 Vítor F. Barra , Peter M. Lavrov , Eduardo Antonio dos Reis , Tibério de Paula Netto , Ilya L. Shapiro

We obtain the various forms of BRST symmetry by using the Batalin-Fradkin-Vilkovisky formalism in a prototypical first class system. We have shown that the various forms of symmetry can be obtained through canonical transformation in the…

High Energy Physics - Theory · Physics 2025-06-02 Sumit Kumar Rai , Bhabani Prasad Mandal , Ronaldo Thibes

A finite transformation method is introduced. This method is equivalent to the $Z$ transform method to a certain extent but generalizes it. By applying the presented method to the Bessel functions, it is possible to solve related ordinary…

Classical Analysis and ODEs · Mathematics 2023-03-17 Gabriel López Garza

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.

High Energy Physics - Theory · Physics 2009-11-10 B. Geyer , D. M. Gitman , P. M. Lavrov , P. Yu. Moshin

We show that constraints on the generating functional have direct BRST-extensions in terms of nilpotent operators $\Delta$ that annihilate this generating functional, and which may be of arbitrarily high order. The free energy $F$ in the…

High Energy Physics - Theory · Physics 2015-06-26 J. Alfaro , K. Bering , P. H. Damgaard

In contrast with QFT, classical field theory can be formulated in strict mathematical terms of fibre bundles, graded manifolds and jet manifolds. Second Noether theorems provide BRST extension of this classical field theory by means of…

Mathematical Physics · Physics 2011-08-05 G. Sardanashvily
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