Volume 17, Issue Supplement 1, December 2010, Pages 1 - 13
Bosonization Method for Second Super Quantization
Authors
Alexander Dynin
Department of Mathematics, Ohio State University Columbus, OH 43210, USA,dynin@math.ohio-state.edu
Received 1 July 2009, Accepted 20 September 2009, Available Online 7 January 2021.
- DOI
- 10.1142/S1402925110000763How to use a DOI?
- Keywords
- Second super quantization; functional method in quantum field theory; anti-normal quantization; anti-Wick quantization; Berezin quantization
- Abstract
A boson-fermion 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-Sudarshan symbols is rigorously constructed.
- Copyright
- © 2010 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Alexander Dynin PY - 2021 DA - 2021/01/07 TI - Bosonization Method for Second Super Quantization JO - Journal of Nonlinear Mathematical Physics SP - 1 EP - 13 VL - 17 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925110000763 DO - 10.1142/S1402925110000763 ID - Dynin2021 ER -