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On the independent particle approximation of Gauge theories: a simple example

Technical Report:

Abstract

In this work, the independent particle model formulation is studied as a mean-field approximation of gauge theories using the path integral approach in the framework of quantum electrodynamics in 1+1 dimensions. It is shown how a mean-field approximation scheme can be applied to fit an effective potential to an independent particle model, building a straightforward relation between the model and the associated gauge field theory. An example is made considering the problem of massive Dirac fermions on a line, the so called massive Schwinger model. An interesting result is found, indicating a behaviour of screening of the charges in the relativistic limit of strong coupling. A forthcoming application of the method developed to confining potentials in independent quark models for QCD is in view and is briefly discussed. (author).
Authors:
Publication Date:
Aug 01, 1992
Product Type:
Technical Report
Report Number:
IFT-P-029/92
Reference Number:
SCA: 662220; PA: AIX-24:003496; SN: 93000913791
Resource Relation:
Other Information: PBD: Aug 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; QUANTUM ELECTRODYNAMICS; GAUGE INVARIANCE; GLUONS; INTEGRALS; PARTICLE MODELS; QUARK MODEL; 662220
OSTI ID:
10109099
Research Organizations:
Instituto de Fisica Teorica (IFT), Sao Paulo, SP (Brazil); Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Brazil
Language:
English
Other Identifying Numbers:
Other: ON: DE93609939; TRN: BR9230415003496
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
[21] p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Palladino, B E. On the independent particle approximation of Gauge theories: a simple example. Brazil: N. p., 1992. Web.
Palladino, B E. On the independent particle approximation of Gauge theories: a simple example. Brazil.
Palladino, B E. 1992. "On the independent particle approximation of Gauge theories: a simple example." Brazil.
@misc{etde_10109099,
title = {On the independent particle approximation of Gauge theories: a simple example}
author = {Palladino, B E}
abstractNote = {In this work, the independent particle model formulation is studied as a mean-field approximation of gauge theories using the path integral approach in the framework of quantum electrodynamics in 1+1 dimensions. It is shown how a mean-field approximation scheme can be applied to fit an effective potential to an independent particle model, building a straightforward relation between the model and the associated gauge field theory. An example is made considering the problem of massive Dirac fermions on a line, the so called massive Schwinger model. An interesting result is found, indicating a behaviour of screening of the charges in the relativistic limit of strong coupling. A forthcoming application of the method developed to confining potentials in independent quark models for QCD is in view and is briefly discussed. (author).}
place = {Brazil}
year = {1992}
month = {Aug}
}