Quantum localization of Classical Mechanics
High Energy Physics - Theory
2016-07-11 v4
Abstract
Quantum localization of classical mechanics within the BRST-BFV and BV (or field-antifield) quantization methods are studied. It is shown that a special choice of gauge fixing functions (or BRST-BFV charge) together with the unitary limit leads to Hamiltonian localization in the path integral of the BRST-BFV formalism. In turn, we find that a special choice of gauge fixing functions being proportional to extremals of an initial non-degenerate classical action together with a very special solution of the classical master equation result in Lagrangian localization in the partition function of the BV formalism.
Cite
@article{arxiv.1603.03990,
title = {Quantum localization of Classical Mechanics},
author = {Igor A. Batalin and Peter M. Lavrov},
journal= {arXiv preprint arXiv:1603.03990},
year = {2016}
}
Comments
11 pages, v2: Section 2 extended, a reference added, v3: typos corrected, v4: minor corrections, published version