English

Consistent Batalin--Fradkin quantization of Infinitely Reducible First Class Constraints

High Energy Physics - Theory 2009-10-31 v2

Abstract

We reconsider the problem of BRST quantization of a mechanics with infinitely reducible first class constraints. Following an earlier recipe [Phys. Lett. B 381, 105, (1996)], the original phase space is extended by purely auxiliary variables, the constraint set in the enlarged space being first stage of reducibility. The BRST charge involving only a finite number of ghost variables is explicitly constructed.

Keywords

Cite

@article{arxiv.hep-th/9909190,
  title  = {Consistent Batalin--Fradkin quantization of Infinitely Reducible First Class Constraints},
  author = {Stefano Bellucci and Anton Galajinsky},
  journal= {arXiv preprint arXiv:hep-th/9909190},
  year   = {2009}
}

Comments

5 pages, LaTex. Minor corrections including the title. The version to appear in Phys. Rev. D

R2 v1 2026-07-22T16:17:28.636Z