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Ground-state projection multigrid for propagators in 4-dimensional SU(2) gauge fields

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Abstract

The ground-state projection multigrid method is studied for computations of slowly decaying bosonic propagators in 4-dimensional SU(2) lattice gauge theory. The defining eigenvalue equation for the restriction operator is solved exactly. Although the critical exponent z is not reduced in nontrivial gauge fields, multigrid still yields considerable speedup compared with conventional relaxation. Multigrid is also able to outperform the conjugate gradient algorithm. (orig.).
Authors:
Kalkreuter, T [1] 
  1. Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik
Publication Date:
Sep 01, 1991
Product Type:
Technical Report
Report Number:
DESY-91-099
Reference Number:
SCA: 662210; 662120; PA: DEN-92:000563; SN: 92000645442
Resource Relation:
Other Information: PBD: Sep 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LATTICE FIELD THEORY; COMPUTER CALCULATIONS; UNIFIED GAUGE MODELS; FOUR-DIMENSIONAL CALCULATIONS; GROUND STATES; PROPAGATOR; SU-2 GROUPS; INTERMEDIATE VECTOR BOSONS; EIGENVALUES; VECTOR FIELDS; ALGORITHMS; CONVERGENCE; ITERATIVE METHODS; QUANTUM OPERATORS; RELAXATION; RELAXATION TIME; 662210; 662120; UNIFIED THEORIES AND MODELS; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10114371
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE92759144; TRN: DE9200563
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
10 p.
Announcement Date:
Jun 30, 2005

Technical Report:

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Citation Formats

Kalkreuter, T. Ground-state projection multigrid for propagators in 4-dimensional SU(2) gauge fields. Germany: N. p., 1991. Web.
Kalkreuter, T. Ground-state projection multigrid for propagators in 4-dimensional SU(2) gauge fields. Germany.
Kalkreuter, T. 1991. "Ground-state projection multigrid for propagators in 4-dimensional SU(2) gauge fields." Germany.
@misc{etde_10114371,
title = {Ground-state projection multigrid for propagators in 4-dimensional SU(2) gauge fields}
 author = {Kalkreuter, T}
 abstractNote = {The ground-state projection multigrid method is studied for computations of slowly decaying bosonic propagators in 4-dimensional SU(2) lattice gauge theory. The defining eigenvalue equation for the restriction operator is solved exactly. Although the critical exponent z is not reduced in nontrivial gauge fields, multigrid still yields considerable speedup compared with conventional relaxation. Multigrid is also able to outperform the conjugate gradient algorithm. (orig.).}
 place = {Germany}
 year = {1991}
 month = {Sep}
 }