Quantum localization of Classical Mechanics

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.

11 pages, v2: Section 2 extended, a reference added, v3: typos corrected, v4: minor corrections, published version

References in corpus (2)

• Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
• Superfield Hamiltonian quantization in terms of quantum antibrackets

Cited by in corpus (1)

• Closed description of arbitrariness in resolving quantum master equation