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We propose a method of construction of a cubic interaction in massless Higher Spin gauge theory both in flat and in AdS space-times of arbitrary dimensions. We consider a triplet formulation of the Higher Spin gauge theory and generalize…

High Energy Physics - Theory · Physics 2008-11-26 I. L. Buchbinder , A. Fotopoulos , A. C. Petkou , M. Tsulaia

It is shown that anti-BRST symmetry is the quantized counterpart of local axial symmetry in gauge theories. An extended form of descent equations is worked out which yields a set of modified consistent anomalies.

High Energy Physics - Theory · Physics 2014-08-28 Amir Abbass Varshovi

We develop a systematic approach to the computation of gauge invariant quartic interactions between reducible massive and massless higher spin fields. Extending the BRST formulation of existing cubic results, we obtain a single constraint…

High Energy Physics - Theory · Physics 2026-05-08 Julian Lang , Mirian Tsulaia

Charged matter spin-1 fields enjoy a nonelectromagnetic gauge symmetry when interacting with vacuum electromagnetism, provided their gyromagnetic ratio is 2.

High Energy Physics - Theory · Physics 2009-10-30 R. Jackiw

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

In a previous paper, higher spin gauge field theory was formulated in an abstract way, essentially only keeping enough machinery to discuss "gauge invariance" of an "action". The approach could be thought of as providing an interface (or…

High Energy Physics - Theory · Physics 2008-11-26 Anders K. H. Bengtsson

A study of the Bell-CHSH inequality in gauge field theories is presented. By using the Kugo-Ojima analysis of the BRST charge cohomology in Fock space, the Bell-CHSH inequality is formulated in a manifestly BRST invariant way. The examples…

High Energy Physics - Theory · Physics 2023-11-29 David Dudal , Philipe De Fabritiis , Marcelo S. Guimaraes , Giovani Peruzzo , Silvio P. Sorella

The self-consistent field theory (SCFT) is a powerful framework for the study of the phase behavior and structural properties of many-body systems. In particular, polymeric SCFT has been successfully applied to inhomogeneous polymeric…

Soft Condensed Matter · Physics 2019-01-31 An-Chang Shi

We compute completely the BRST--antibracket cohomology on local functionals in two-dimensional Weyl invariant gravity for given classical field content (two dimensional metric and scalar matter fields) and gauge symmetries (two dimensional…

High Energy Physics - Theory · Physics 2009-10-28 Friedemann Brandt , Walter Troost , Antoine Van Proeyen

We develop an approach to investigate the non-perturbative dynamics of quantum field theories, in which specific vacuum field fluctuations are treated as the low-energy dynamical degrees of freedom, while all other vacuum field…

High Energy Physics - Lattice · Physics 2010-05-12 R. Millo , P. Faccioli , L. Scorzato

New BRST-invariant states for SU(3) gauge field theory are presented. The states have finite norms and unlike the states that are usually used to derive path integrals, they break SU(3) symmetry by choosing preferred gauge directions. This…

High Energy Physics - Theory · Physics 2007-05-23 Scott Chapman

By considering the B-field dynamical and studying its interaction with Ramond-Ramond (RR) background we observe the breaking of the B-field gauge symmetry in the effective action. This effect takes place due to non-perturbative coupling of…

High Energy Physics - Theory · Physics 2016-09-06 Masud Chaichian , Dimitri Polyakov

We examine interacting bosonic higher spin gauge fields in the BRST-antifield formalism. Assuming that an interacting action $S$ is a deformation of the free action with a deformation parameter $g$, we solve the master equation $(S,S)=0$…

High Energy Physics - Theory · Physics 2021-03-24 Makoto Sakaguchi , Haruya Suzuki

It is well known that BRST symmetry plays a fundamental role in constructing quantum gauge theories. Yet, at the classical level, it constitutes the modern language to study constrained systems. First, this letter reviews the Sp(2)…

High Energy Physics - Theory · Physics 2007-05-23 Jose L. Vazquez-Bello

The local BRST cohomology of the gauged non-linear sigma model on a group manifold is worked out for any Lie group G. We consider both, the case where the gauge field is dynamical and the case where it has no kinetic term (G/G topological…

High Energy Physics - Theory · Physics 2009-10-31 Marc Henneaux , Andre' Wilch

We construct vertex operators for massless higher spin fields in RNS superstring theory and compute some of their three-point correlators, describing gauge-invariant cubic interactions of the massless higher spins. The Fierz-Pauli on-shell…

High Energy Physics - Theory · Physics 2014-11-20 Dimitri Polyakov

We discuss the discrete as well as the continuous symmetry transformations for a three $(2+1)$-dimensional $(3D)$ combined system of the free Abelian 1-form and 2-form gauge theories within the framework of Becchi-Rouet-Stora-Tyutin (BRST)…

High Energy Physics - Theory · Physics 2026-01-12 R. Kumar , R. P. Malik

We couple three-dimensional Chern-Simons gauge theory with BF theory and study deformations of the theory by means of the antifield BRST formalism. We analyze all possible consistent interaction terms for the action under physical…

High Energy Physics - Theory · Physics 2014-11-18 Noriaki Ikeda

These notes comprise a part of the introductory lectures on Higher Spin Theory presented in the Eighth Modave Summer School in Mathematical Physics. We construct free higher-spin theories and turn on interactions to find that…

High Energy Physics - Theory · Physics 2013-07-19 Rakibur Rahman

We continue the study of finite field dependent BRST (FFBRST) symmetry in the quantum theory of gauge fields. An expression for the Jacobian of path integral measure is presented, depending on a finite field-dependent parameter, and the…

High Energy Physics - Theory · Physics 2017-07-20 Pavel Yu. Moshin , Sudhaker Upadhyay , Ricardo A. Castro