Towards Lagrangian construction for infinite half-integer spin field

We formulate the conditions for the generalized fields in the space with additional commuting Weyl spinor coordinates which define the infinite half-integer spin representation of the four-dimensional Poincaré group. Using this formulation we develop the BRST approach and derive the Lagrangian for t...

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Main Authors: I.L. Buchbinder, S. Fedoruk, A.P. Isaev, V.A. Krykhtin
Format: Article
Language:English
Published: Elsevier 2020-09-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321320302005
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author I.L. Buchbinder
S. Fedoruk
A.P. Isaev
V.A. Krykhtin
author_facet I.L. Buchbinder
S. Fedoruk
A.P. Isaev
V.A. Krykhtin
author_sort I.L. Buchbinder
collection DOAJ
description We formulate the conditions for the generalized fields in the space with additional commuting Weyl spinor coordinates which define the infinite half-integer spin representation of the four-dimensional Poincaré group. Using this formulation we develop the BRST approach and derive the Lagrangian for the half-integer infinite spin fields.
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spelling doaj.art-0f382306946747dc94fccd8fc5a68a5f2022-12-22T01:24:45ZengElsevierNuclear Physics B0550-32132020-09-01958115114Towards Lagrangian construction for infinite half-integer spin fieldI.L. Buchbinder0S. Fedoruk1A.P. Isaev2V.A. Krykhtin3Department of Theoretical Physics, Tomsk State Pedagogical University, 634041 Tomsk, Russia; National Research Tomsk State University, Lenin Av. 36, 634050 Tomsk, RussiaBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, RussiaBogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Moscow Region, Russia; St. Petersburg Department of Steklov Mathematical Institute of RAS, Fontanka 27, 191023 St. Petersburg, RussiaDepartment of Theoretical Physics, Tomsk State Pedagogical University, 634041 Tomsk, Russia; Corresponding author.We formulate the conditions for the generalized fields in the space with additional commuting Weyl spinor coordinates which define the infinite half-integer spin representation of the four-dimensional Poincaré group. Using this formulation we develop the BRST approach and derive the Lagrangian for the half-integer infinite spin fields.http://www.sciencedirect.com/science/article/pii/S0550321320302005
spellingShingle I.L. Buchbinder
S. Fedoruk
A.P. Isaev
V.A. Krykhtin
Towards Lagrangian construction for infinite half-integer spin field
Nuclear Physics B
title Towards Lagrangian construction for infinite half-integer spin field
title_full Towards Lagrangian construction for infinite half-integer spin field
title_fullStr Towards Lagrangian construction for infinite half-integer spin field
title_full_unstemmed Towards Lagrangian construction for infinite half-integer spin field
title_short Towards Lagrangian construction for infinite half-integer spin field
title_sort towards lagrangian construction for infinite half integer spin field
url http://www.sciencedirect.com/science/article/pii/S0550321320302005
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AT sfedoruk towardslagrangianconstructionforinfinitehalfintegerspinfield
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AT vakrykhtin towardslagrangianconstructionforinfinitehalfintegerspinfield