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arXiv · 1603.03990

Quantum localization of Classical Mechanics

Igor A. Batalin·Peter M. Lavrov
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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.

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Igor A. Batalin, Peter M. Lavrov. 2016-07-08. Quantum localization of Classical Mechanics. https://doi.org/10.1142/s0217732316501285

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