BRST-BV approach for interacting higher-spin fields; Theoretical and Mathematical Physics; Vol. 217, iss. 1

BRST-BV approach for interacting higher-spin fields; Theoretical and Mathematical Physics; Vol. 217, iss. 1

Bibliographic Details
Parent link:Theoretical and Mathematical Physics: Scientific Journal.— : Springer Science+Business Media LLC., New York
Vol. 217, iss. 1.— 2023.— P. 1505-1527
Main Author: Reshetnyak А. А. Aleksandr Aleksandrovich
Corporate Author: Национальный исследовательский Томский политехнический университет
Summary:Title screen
We develop the BRST–BV approach to the construction of the general off-shell Lorentz covariant cubic, quartic, and e-tic interaction vertices for irreducible higher-spin fields on d-dimensional Minkowski space. We consider two different cases for interacting integer higher-spin fields with both massless and massive fields. The deformation procedure to find a minimal BRST–BV action for interacting higher-spin fields, defined with help of a generalized Hilbert space, is based on the preservation of the master equation in each power of the coupling constant g starting from the Lagrangian formulation for a free gauge theory. For illustration, we consider the construction of local cubic vertices for k irreducible massless fields of integer helicities, and k−1 massless fields and one massive field of spins s1,…,sk−1,sk. For a triple of two massless scalars and a tensor field of integer spin, the BRST–BV action with cubic interaction is explicitly found. In contrast to the previous results on cubic vertices, following our results for the BRST approach to massless fields, we use a single BRST–BV action instead of the classical action with reducible gauge transformations. The procedure is based on the complete BRST operator that includes the trace constraints used in defining the irreducible representation with a definite integer spin
AM_Agreement
Language:English
Published: 2023
Subjects:
электронный ресурс
труды учёных ТПУ
higher-spin field theory
gauge theories
BRST operator
field–antifield formalism
totally symmetric higher-spin fields
cubic interaction vertices
Online Access:https://doi.org/10.1134/S0040577923100070
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=672122

Similar Items

Similar Items