Bosonization method for second super quantization
Alexander Dynin
TL;DR
This paper develops a bosonization method for second super quantization, providing a rigorous construction of Feynman integrals for super transformation matrix elements using bosonic anti-normal Berezin symbols.
Contribution
It introduces a bosonic-fermionic correspondence enabling analytic definitions of super derivatives and a bosonic functional calculus within Bargmann-Gelfand triples for second super quantization.
Findings
Rigorous construction of Feynman integrals for super transformation matrices
Definition of a bosonic functional calculus on Bargmann-Gelfand triples
Establishment of a bosonic-fermionic correspondence for super quantization
Abstract
A bosonic-fermionic correspondence allows an analytic definition of functional super derivative, in particular, and a bosonic functional calculus, in general, on Bargmann- Gelfand triples for the second super quantization. A Feynman integral for the super transformation matrix elements in terms of bosonic anti-normal Berezin symbols is rigorously constructed.
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