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Статья

Buchbinder, I.L.
Consistent Lagrangians for Irreducible Interacting Higher-Spin Fields with Holonomic Constraints : [Abstract] / I.L.Buchbinder, A.A.Reshetnyak // Физика элементарных частиц и атомного ядра. – 2023. – Т.54, №6. – P.1173-1174. – URL: http://www1.jinr.ru/Pepan/v-54-6/17_Reshetnyak_ann.pdf.

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 built on the basis of constraints that define the irreducible higher-spin representations. In 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 the approach with incomplete BRST operator, where the algebraic constraints are not included in the definition of the BRST operator but imposed “by hands” on the field and gauge parameter vectors, are considered. It is shown that in addition to the fact 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 above BRST operator and with operators of cubic, quartic, etc. vertices. Only under the above conditions, the formulations with complete and incomplete BRST charges turn out to be equivalent and lead to the same interaction vertices in terms of irreducible fields.



ОИЯИ = ОИЯИ (JINR)2023
Спец.(статьи,препринты) = С 324.1г1 - Калибровочные поля на решетке$
Бюллетени = 6/024