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Minimal U(1) gauge fields in two dimensions

Abstract

Gribov copies of the vacuum in two dimensional compact U(1) lattice gauge models are constructed. On the basis of this a gauge fixing algorithm is developped, which finds the minimum of the sum of link field squares. Numerical experience in a two dimensional Higgs model with fixed length scalar field is reported and the extension to three and four dimensional U(1) and four dimensional SU(2) gauge theories is briefly discussed. (orig.)
Authors:
Publication Date:
Dec 01, 1993
Product Type:
Technical Report
Report Number:
DESY-93-184; HEP-LAT-9312039
Reference Number:
SCA: 662110; PA: DEN-94:0F7190; EDB-94:084953; ERA-19:019976; NTS-95:004780; SN: 94001207888
Resource Relation:
Other Information: PBD: Dec 1993
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LATTICE FIELD THEORY; MINIMIZATION; UNIFIED GAUGE MODELS; ALGORITHMS; GAUGE INVARIANCE; HIGGS MODEL; SCALAR FIELDS; SU-2 GROUPS; U-1 GROUPS; VACUUM STATES; TWO-DIMENSIONAL CALCULATIONS; VECTOR FIELDS; THREE-DIMENSIONAL CALCULATIONS; FOUR-DIMENSIONAL CALCULATIONS; ACTION INTEGRAL; BOUNDARY CONDITIONS; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10153354
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0418-9833; Other: ON: DE94769004; TRN: DE94F7190
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
10 p.
Announcement Date:
Jul 06, 2005

Citation Formats

Montvay, I. Minimal U(1) gauge fields in two dimensions. Germany: N. p., 1993. Web.
Montvay, I. Minimal U(1) gauge fields in two dimensions. Germany.
Montvay, I. 1993. "Minimal U(1) gauge fields in two dimensions." Germany.
@misc{etde_10153354,
title = {Minimal U(1) gauge fields in two dimensions}
author = {Montvay, I}
abstractNote = {Gribov copies of the vacuum in two dimensional compact U(1) lattice gauge models are constructed. On the basis of this a gauge fixing algorithm is developped, which finds the minimum of the sum of link field squares. Numerical experience in a two dimensional Higgs model with fixed length scalar field is reported and the extension to three and four dimensional U(1) and four dimensional SU(2) gauge theories is briefly discussed. (orig.)}
place = {Germany}
year = {1993}
month = {Dec}
}