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Composite operators as integration variables in Berezin integrals

Abstract

We define nonlinear changes of variables in Berezin integrals, assuming as new integration variables multilinear functions of the defining elements of the Grassmann algebra. We apply such a change of variables to QCD by introducing as integration variables trilinear and bilinear functions of the quark field, with the quantum numbers of the nucleon and the meson respectively, and we suggest a perturbative scheme using these functions as free states. ((orig.)).
Authors:
DeFranceschi, G; [1]  Palumbo, F [2] 
  1. Rome Univ. ``La Sapienza`` (Italy). Dipartimento di Fisica
  2. Istituto Nazionale di Fisica Nucleare, Frascati (Italy). Lab. Nazionale di Frascati
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662230; PA: AIX-26:064532; EDB-95:132638; SN: 95001458520
Resource Relation:
Journal Name: Nuclear Physics B, Proceedings Supplements; Journal Volume: 42; Conference: Lattice `94, Bielefeld (Germany), 25 Sep - 1 Oct 1994; Other Information: PBD: Apr 1995
Subject:
66 PHYSICS; QUANTUM CHROMODYNAMICS; INTEGRAL CALCULUS; CORRELATION FUNCTIONS; FIELD OPERATORS; INTEGRALS; MESONS; NONLINEAR PROBLEMS; NUCLEONS; PERTURBATION THEORY; QUANTUM NUMBERS; QUARK MODEL; QUARKS; SPINOR FIELDS; SPINORS
OSTI ID:
101233
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF389064532
Submitting Site:
NLN
Size:
pp. 820-822
Announcement Date:
Oct 05, 1995

Citation Formats

DeFranceschi, G, and Palumbo, F. Composite operators as integration variables in Berezin integrals. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00391-L.
DeFranceschi, G, & Palumbo, F. Composite operators as integration variables in Berezin integrals. Netherlands. https://doi.org/10.1016/0920-5632(95)00391-L
DeFranceschi, G, and Palumbo, F. 1995. "Composite operators as integration variables in Berezin integrals." Netherlands. https://doi.org/10.1016/0920-5632(95)00391-L.
@misc{etde_101233,
title = {Composite operators as integration variables in Berezin integrals}
author = {DeFranceschi, G, and Palumbo, F}
abstractNote = {We define nonlinear changes of variables in Berezin integrals, assuming as new integration variables multilinear functions of the defining elements of the Grassmann algebra. We apply such a change of variables to QCD by introducing as integration variables trilinear and bilinear functions of the quark field, with the quantum numbers of the nucleon and the meson respectively, and we suggest a perturbative scheme using these functions as free states. ((orig.)).}
doi = {10.1016/0920-5632(95)00391-L}
journal = []
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}