COMPOSITE OPERATORS AS INTEGRATION VARIABLES IN BEREZIN INTEGRALS

Author:

DE FRANCESCHI G.12,PALUMBO F.2

Affiliation:

1. Dipartimento di Fisica dell’Universita’ La Sapienza, I-00185 Rome, Italy

2. INFN, Laboratori Nazionali di Frascati, P.O. Box 13, I–00044 Frascati, Italy

Abstract

We define nonlinear changes of variables in Berezin integrals as new integration variables of homogeneous polynomials of the defining elements in the Grassmann algebra. We perform such a change of variables in the partition function of QCD by introducing as integration variables cubic and quadratic polynomials of the quark field, with the quantum numbers of the nucleon and the meson respectively, and we suggest a perturbative scheme using these these functions as free states.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Cited by 10 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Chiral symmetry breaking and quark confinement in the nilpotency expansion of QCD;Physical Review D;2011-06-02

2. Pure state entanglement in terms of nilpotent variables: η-toolbox;Quantum Dynamics and Information;2010-10

3. NILPOTENT QUANTUM MECHANICS;International Journal of Modern Physics A;2010-02-20

4. QCD at finite temperature in the quark composites approach;Nuclear Physics B - Proceedings Supplements;2000-04

5. Quark-composites approach to QCD: The nucleon-pion interaction;Physical Review D;1999-08-26

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