Bosonization method for second super quantization

Physics – Mathematical Physics

Scientific paper

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In memoriam of F. A. Berezin, accepted in Journal of Nonlinear Mathematical Physics, 15 pages

Scientific paper

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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