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Localization in lattice gauge theory

Abstract

It is shown numerically that the lowest and the highest eigenmodes of the covariant Laplace-operator in an SU(2) gauge field are strongly localized. This phenomenon is explained by connecting it to the well-known Anderson localization problem (electron moving in a random potential). The role of the potential is played by a gauge invariant quantity, the sum over the field strengths of all plaquettes touching a point. Localization for the Dirac-operator is also discussed. ((orig.)).
Authors:
Baeker, M [1] 
  1. Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064343; EDB-95:132388; SN: 95001458358
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; LATTICE FIELD THEORY; LOCALITY; UNIFIED GAUGE MODELS; DIRAC OPERATORS; EIGENFUNCTIONS; ELECTRIC CONDUCTIVITY; ELECTRONS; GAUGE INVARIANCE; LAPLACIAN; POTENTIALS; RANDOMNESS; SU-2 GROUPS; TWO-DIMENSIONAL CALCULATIONS; VECTOR FIELDS
OSTI ID:
101034
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF380064343
Submitting Site:
NLN
Size:
pp. 849-851
Announcement Date:
Oct 05, 1995

Citation Formats

Baeker, M. Localization in lattice gauge theory. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00400-4.
Baeker, M. Localization in lattice gauge theory. Netherlands. doi:10.1016/0920-5632(95)00400-4.
Baeker, M. 1995. "Localization in lattice gauge theory." Netherlands. doi:10.1016/0920-5632(95)00400-4. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00400-4.
@misc{etde_101034,
title = {Localization in lattice gauge theory}
author = {Baeker, M}
abstractNote = {It is shown numerically that the lowest and the highest eigenmodes of the covariant Laplace-operator in an SU(2) gauge field are strongly localized. This phenomenon is explained by connecting it to the well-known Anderson localization problem (electron moving in a random potential). The role of the potential is played by a gauge invariant quantity, the sum over the field strengths of all plaquettes touching a point. Localization for the Dirac-operator is also discussed. ((orig.)).}
doi = {10.1016/0920-5632(95)00400-4}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}