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Multigrid methods for the computation of propagators in gauge fields

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Abstract

In the present work generalizations of multigrid methods for propagators in gauge fields are investigated. We discuss proper averaging operations for bosons and for staggered fermions. An efficient algorithm for computing C numerically is presented. The averaging kernels C can be used not only in deterministic multigrid computations, but also in multigrid Monte Carlo simulations, and for the definition of block spins and blocked gauge fields in Monte Carlo renormalization group studies of gauge theories. Actual numerical computations of kernels and propagators are performed in compact four-dimensional SU(2) gauge fields. (orig./HSI).
Authors:
Kalkreuter, T [1] 
  1. Hamburg Univ. (Germany). 2. Inst. fuer Theoretische Physik
Publication Date:
Nov 01, 1992
Product Type:
Technical Report
Report Number:
DESY-92-158
Reference Number:
SCA: 662110; PA: DEN-93:005296; SN: 93000982768
Resource Relation:
Other Information: PBD: Nov 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LATTICE FIELD THEORY; PROPAGATOR; UNIFIED GAUGE MODELS; KERNELS; ALGORITHMS; COMPUTER CALCULATIONS; HAMILTONIANS; VECTOR FIELDS; GROUND STATES; FERMIONS; LOCALITY; MATRICES; FLUCTUATIONS; RENORMALIZATION; EFFICIENCY; BOSONS; FOUR-DIMENSIONAL CALCULATIONS; MONTE CARLO METHOD; INTERPOLATION; COMPUTERIZED SIMULATION; SU-2 GROUPS; OPTIMIZATION; GAUGE INVARIANCE; VARIATIONAL METHODS; DIRAC OPERATORS; RELAXATION; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10148176
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE93785818; TRN: DE9305296
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
136 p.
Announcement Date:
Jul 05, 2005

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Citation Formats

Kalkreuter, T. Multigrid methods for the computation of propagators in gauge fields. Germany: N. p., 1992. Web.
Kalkreuter, T. Multigrid methods for the computation of propagators in gauge fields. Germany.
Kalkreuter, T. 1992. "Multigrid methods for the computation of propagators in gauge fields." Germany.
@misc{etde_10148176,
title = {Multigrid methods for the computation of propagators in gauge fields}
 author = {Kalkreuter, T}
 abstractNote = {In the present work generalizations of multigrid methods for propagators in gauge fields are investigated. We discuss proper averaging operations for bosons and for staggered fermions. An efficient algorithm for computing C numerically is presented. The averaging kernels C can be used not only in deterministic multigrid computations, but also in multigrid Monte Carlo simulations, and for the definition of block spins and blocked gauge fields in Monte Carlo renormalization group studies of gauge theories. Actual numerical computations of kernels and propagators are performed in compact four-dimensional SU(2) gauge fields. (orig./HSI).}
 place = {Germany}
 year = {1992}
 month = {Nov}
 }