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Article overview
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General quantum-mechanical setting for field-antifield formalism as a hyper-gauge theory | | Igor A. Batalin
; Peter M. Lavrov
; | | Date: |
3 May 2016 | | Abstract: | A general quantum-mechanical setting is proposed for the field-antifield
formalism as a unique hyper-gauge theory in the field-antifield space. We
formulate a Schr"{o}dinger-type equation to describe the quantum evolution in
a "current time" purely formal in its nature. The corresponding Hamiltonian is
defined in the form of a supercommutator of the delta-operator with a
hyper-gauge Fermion. The initial wave function is restricted to be annihilated
with the delta-operator. The Schr"{o}dinger’s equation is resolved in a closed
form of the path integral, whose action contains the symmetric Weyl’s symbol of
the Hamiltonian. We take the path integral explicitly in the case of being a
hyper-gauge Fermion an arbitrary function rather than an operator. | | Source: | arXiv, 1605.0754 | | Services: | Forum | Review | PDF | Favorites | |
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