Bosonization method for second super quantization
arXiv:0909.5160 · doi:10.1142/S1402925110000763
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.
In memoriam of F. A. Berezin, accepted in Journal of Nonlinear Mathematical Physics, 15 pages