You need JavaScript to view this
ETDEWEB   /       /    Inversion of the fermion matrix in lattice QCD by means of parallel-transported multigrid (PTMG)

Inversion of the fermion matrix in lattice QCD by means of parallel-transported multigrid (PTMG)

Technical Report:

SAVE / SHARE

XML RIS EndNote CSV/Excel JSON

Abstract

The standard PTMG method, invented and tested for the inversion of the fermion matrix (Dirac-operator) in the case of U(1) and SU(2) lattice gauge theories with staggered fermions, has now been generalized to SU(3). A crucial ingredient of the new algorithm is the way SU(3) link elements are averaged in the generation of the coarse grid link elements. Numerical results are presented for the two-dimensional case. For 128x128 lattices and physically relevant values of the coupling constant {beta} and of the quark mass m{sub q}, the new algorithm is an order of magnitude faster in CPU time than its leading competitor, the Conjugate-Gradient algorithm. Similar results are expected in four dimensional theories in the scaling region. (orig.).
Authors:
Lauwers, P G; [1]  Wittlich, T
  1. German National Research Center for Computing Science (GMD), Sankt Augustin (Germany)
Publication Date:
Sep 01, 1992
Product Type:
Technical Report
Report Number:
BONN-92-29
Reference Number:
SCA: 662110; 662230; PA: DEN-93:000819; SN: 93000924804
Resource Relation:
Other Information: PBD: Sep 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LATTICE FIELD THEORY; COMPUTER CALCULATIONS; UNIFIED GAUGE MODELS; QUANTUM CHROMODYNAMICS; MATRICES; ALGORITHMS; FLUCTUATIONS; DIRAC OPERATORS; SU-3 GROUPS; QUARKS; TWO-DIMENSIONAL CALCULATIONS; FOUR-DIMENSIONAL CALCULATIONS; CONVERGENCE; EXPECTATION VALUE; 662110; 662230; THEORY OF FIELDS AND STRINGS
OSTI ID:
10116570
Research Organizations:
Bonn Univ. (Germany). Physikalisches Inst.
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE93758538; TRN: DE9300819
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
16 p.
Announcement Date:
Jun 30, 2005

Technical Report:

SAVE / SHARE

XML RIS EndNote CSV/Excel JSON

Citation Formats

Lauwers, P G, and Wittlich, T. Inversion of the fermion matrix in lattice QCD by means of parallel-transported multigrid (PTMG). Germany: N. p., 1992. Web.
Lauwers, P G, & Wittlich, T. Inversion of the fermion matrix in lattice QCD by means of parallel-transported multigrid (PTMG). Germany.
Lauwers, P G, and Wittlich, T. 1992. "Inversion of the fermion matrix in lattice QCD by means of parallel-transported multigrid (PTMG)." Germany.
@misc{etde_10116570,
title = {Inversion of the fermion matrix in lattice QCD by means of parallel-transported multigrid (PTMG)}
 author = {Lauwers, P G, and Wittlich, T}
 abstractNote = {The standard PTMG method, invented and tested for the inversion of the fermion matrix (Dirac-operator) in the case of U(1) and SU(2) lattice gauge theories with staggered fermions, has now been generalized to SU(3). A crucial ingredient of the new algorithm is the way SU(3) link elements are averaged in the generation of the coarse grid link elements. Numerical results are presented for the two-dimensional case. For 128x128 lattices and physically relevant values of the coupling constant {beta} and of the quark mass m{sub q}, the new algorithm is an order of magnitude faster in CPU time than its leading competitor, the Conjugate-Gradient algorithm. Similar results are expected in four dimensional theories in the scaling region. (orig.).}
 place = {Germany}
 year = {1992}
 month = {Sep}
 }