Consistent Lagrangians for irreducible interacting higher-spin fields with holonomic constraints
| Parent link: | Physics of Particles and Nuclei.— : Springer Science+Business Media LLC., New York Vol. 54, iss. 6.— 2023.— P. 1066-1071 |
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| Summary: | Title screen We study the aspects of constructing the interactions for the higher spin fields in the framework of BRST approach. The main object of such an approach is BRST operator acting in the appropriate Fock space and building on the base of constraints that define the irreducible higher spin representations. In its turn, the constraints are divided into differential and purely algebraic or holonomic. The necessary and sufficient conditions to derive the consistent Lagrangian formulations for irreducible interacting higher-spin fields within approach with incomplete BRST operator, where the algebraic constraints are not included into definition of the BRST operator but imposed ad hoc on the field and gauge parameter vectors, are considered. It is shown that in addition to that such constraints should (anti)commute with the BRST operator and annihilate the fields and gauge parameters Fock space vectors, they must form the Abelian (super)algebra both with the BRST operator above and with operators of cubic, quartic and etc. vertices. Only under the above conditions, the formulations with complete and incomplete BRST charges turn out to be equivalent and yield to the same interaction vertices in terms of irreducible fields AM_Agreement |
| Language: | English |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://doi.org/10.1134/S1063779623060084 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=672124 |
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| 200 | 1 | |a Consistent Lagrangians for irreducible interacting higher-spin fields with holonomic constraints |f I. L. Buchbinder, A. A. Reshetnyak | |
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| 300 | |a Title screen | ||
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| 330 | |a We study the aspects of constructing the interactions for the higher spin fields in the framework of BRST approach. The main object of such an approach is BRST operator acting in the appropriate Fock space and building on the base of constraints that define the irreducible higher spin representations. In its turn, the constraints are divided into differential and purely algebraic or holonomic. The necessary and sufficient conditions to derive the consistent Lagrangian formulations for irreducible interacting higher-spin fields within approach with incomplete BRST operator, where the algebraic constraints are not included into definition of the BRST operator but imposed ad hoc on the field and gauge parameter vectors, are considered. It is shown that in addition to that such constraints should (anti)commute with the BRST operator and annihilate the fields and gauge parameters Fock space vectors, they must form the Abelian (super)algebra both with the BRST operator above and with operators of cubic, quartic and etc. vertices. Only under the above conditions, the formulations with complete and incomplete BRST charges turn out to be equivalent and yield to the same interaction vertices in terms of irreducible fields | ||
| 371 | 0 | |a AM_Agreement | |
| 461 | 1 | |t Physics of Particles and Nuclei |d New York |n Springer Science+Business Media LLC. | |
| 463 | 1 | |t Vol. 54, iss. 6 |v P. 1066-1071 |d 2023 | |
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 610 | 1 | |a higher-spin field theory | |
| 610 | 1 | |a gauge theories | |
| 610 | 1 | |a field–antifield formalism | |
| 700 | 1 | |a Buchbinder |b I. L. |g Iosif Lvovich | |
| 701 | 1 | |a Reshetnyak |b А. А. |c physicist |c Associate Professor of Tomsk Polytechnic University, Candidate of Physical and Mathematical Sciences |f 1970- |g Aleksandr Aleksandrovich |y Tomsk |9 88518 | |
| 712 | 0 | 2 | |a Национальный исследовательский Томский политехнический университет |c (2009- ) |9 26305 |
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| 856 | 4 | |u https://doi.org/10.1134/S1063779623060084 |z https://doi.org/10.1134/S1063779623060084 | |
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