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Identity for propagator in four-fermion theory

Abstract

The method of exact evaluation of quantum partition function (QPF) in some four fermion models is proposed. The calculations are carried out by the path integral method. The integral is evaluated by introducing the additional fields (called Hubbard-Stratanovich transformation in some models), integration over fermionic variables, and considering the finite-dimensional approximation of the rest integral over bosonic fields in the infinite limit. The non-standard representation of propagator is proposed for the Fermi-theory of four-fermion interaction. This representation seems to be more convenient for the nonperturbative analysis. (author). 7 refs.
Authors:
Publication Date:
Aug 01, 1993
Product Type:
Technical Report
Report Number:
IC-93/276
Reference Number:
SCA: 661300; PA: AIX-25:007078; EDB-94:015590; ERA-19:007544; NTS-94:015094; SN: 94001126807
Resource Relation:
Other Information: PBD: Aug 1993
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FERMI INTERACTIONS; PROPAGATOR; PARTITION FUNCTIONS; FEYNMAN PATH INTEGRAL; CORRELATION FUNCTIONS; HUBBARD MODEL; QUANTUM MECHANICS; 661300; OTHER ASPECTS OF PHYSICAL SCIENCE
OSTI ID:
10113674
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE94611104; TRN: XA9335347007078
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
4 p.
Announcement Date:
Jun 30, 2005

Citation Formats

Karnaukhov, S. Identity for propagator in four-fermion theory. IAEA: N. p., 1993. Web.
Karnaukhov, S. Identity for propagator in four-fermion theory. IAEA.
Karnaukhov, S. 1993. "Identity for propagator in four-fermion theory." IAEA.
@misc{etde_10113674,
title = {Identity for propagator in four-fermion theory}
author = {Karnaukhov, S}
abstractNote = {The method of exact evaluation of quantum partition function (QPF) in some four fermion models is proposed. The calculations are carried out by the path integral method. The integral is evaluated by introducing the additional fields (called Hubbard-Stratanovich transformation in some models), integration over fermionic variables, and considering the finite-dimensional approximation of the rest integral over bosonic fields in the infinite limit. The non-standard representation of propagator is proposed for the Fermi-theory of four-fermion interaction. This representation seems to be more convenient for the nonperturbative analysis. (author). 7 refs.}
place = {IAEA}
year = {1993}
month = {Aug}
}