Электронный каталог

Статья

Barvinsky, A.O.
Covariant Quantization of Totally Antisymmetric Tensor-Spinor Field in AdS&sub(d) / A.O.Barvinsky, I.L.Buchbinder, [a.o.]. – Text : electronic // Physical Review D. – 2026. – Vol. 113, No. 4. – P. 045022. – URL: https://doi.org/10.1103/1f2m-wg1p. – Bibliogr.: 38.

We develop the quantization of a recently proposed model describing a totally antisymmetric rank-𝑝 tensor-spinor field (a fermionic 𝑝-form theory) in 𝑑-dimensional anti–de Sitter (AdS) space. The model provides a new nontrivial example of a reducible gauge theory, in which gauge transformations are linearly dependent and the degree of reducibility increases with 𝑝. It is well-known that in such cases the standard Faddeev-Popov-DeWitt prescription for the generating functional is not applicable. We quantize the fermionic 𝑝-form theory using the general Batalin-Vilkovisky formalism, employing two distinct gauge fermions associated with gauge-fixing functions of different admissible ranks, confirming the independence from the gauge choice. As a result, we obtain the quantum effective action in terms of a sequence of functional determinants corresponding to specific Dirac-like operators on AdS space.



ОИЯИ = ОИЯИ (JINR)2026