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A precise determination of the running coupling in the SU(3) Yang-Mills theory

Abstract

A non-perturbative finite-size scaling technique is used to study the evolution of the running coupling (in a certain adapted scheme) in the SU(3) Yang-Mills theory. At low energies contact is made with the fundamental dynamical scales, such as the string tension K, while at larger energies the coupling is shown to evolve according to perturbation theory. In that regime the coupling in the anti M anti S scheme of dimensional regularization is obtained with an estimated total error of a few percent. (orig.)
Authors:
Luescher, M; [1]  Sommer, R; [1]  Weisz, P; [2]  Wolff, U [3] 
  1. Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
  2. Max-Planck-Institut fuer Physik und Astrophysik, Muenchen (Germany)
  3. European Organization for Nuclear Research, Geneva (Switzerland). Theory Div.
Publication Date:
Sep 01, 1993
Product Type:
Technical Report
Report Number:
DESY-93-114; CERN-TH-6996/93
Reference Number:
SCA: 662110; PA: DEN-94:0F4018; EDB-94:058845; NTS-94:020484; SN: 94001179957
Resource Relation:
Other Information: PBD: Sep 1993
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LATTICE FIELD THEORY; COUPLING CONSTANTS; QUANTUM CHROMODYNAMICS; YANG-MILLS THEORY; COUPLING; ERRORS; MONTE CARLO METHOD; RENORMALIZATION; SCALING LAWS; STRING MODELS; SU-3 GROUPS; UNIFIED GAUGE MODELS; ENERGY DEPENDENCE; BOUNDARY CONDITIONS; COMPUTERIZED SIMULATION; ALGORITHMS; EXTRAPOLATION; ASYMPTOTIC SOLUTIONS; CORRELATIONS; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10139943
Research Organizations:
Deutsches Elektronen-Synchrotron (DESY), Hamburg (Germany)
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0418-9833; Other: ON: DE94756404; TRN: DE94F4018
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
30 p.
Announcement Date:
Jul 05, 2005

Citation Formats

Luescher, M, Sommer, R, Weisz, P, and Wolff, U. A precise determination of the running coupling in the SU(3) Yang-Mills theory. Germany: N. p., 1993. Web.
Luescher, M, Sommer, R, Weisz, P, & Wolff, U. A precise determination of the running coupling in the SU(3) Yang-Mills theory. Germany.
Luescher, M, Sommer, R, Weisz, P, and Wolff, U. 1993. "A precise determination of the running coupling in the SU(3) Yang-Mills theory." Germany.
@misc{etde_10139943,
title = {A precise determination of the running coupling in the SU(3) Yang-Mills theory}
author = {Luescher, M, Sommer, R, Weisz, P, and Wolff, U}
abstractNote = {A non-perturbative finite-size scaling technique is used to study the evolution of the running coupling (in a certain adapted scheme) in the SU(3) Yang-Mills theory. At low energies contact is made with the fundamental dynamical scales, such as the string tension K, while at larger energies the coupling is shown to evolve according to perturbation theory. In that regime the coupling in the anti M anti S scheme of dimensional regularization is obtained with an estimated total error of a few percent. (orig.)}
place = {Germany}
year = {1993}
month = {Sep}
}