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Two-loop computation of a finite volume running coupling on the lattice

Abstract

In pure SU(2) gauge theory we compute the two-loop coefficient in the relation between the lattice bare coupling and the running coupling defined through the Schroedinger functional. This result is reqiured to relate the latter to the MS-coupling in our programme to compute {alpha}{sub s}. In addition it allows us to implement O(a) improvement of the Schroedinger functional to two-loop order. The two-loop {beta}-function is verified in a perturbative computation on the lattice, and the behavior of expansions in the standard and in the Parisi-improved bare couplings are investigated beyond one loop. ((orig.)).
Authors:
Wolff, U [1] 
  1. Humboldt-Universitaet, Berlin (Germany). Inst. fuer Physik
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; PA: AIX-26:064435; EDB-95:132426; SN: 95001458449
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; COUPLING CONSTANTS; QUANTUM CHROMODYNAMICS; STRONG INTERACTIONS; UNIFIED GAUGE MODELS; ANALYTIC FUNCTIONS; BOUNDARY CONDITIONS; COMPUTER CALCULATIONS; COMPUTER CODES; COUPLING; ENERGY DEPENDENCE; FUNCTIONALS; PERTURBATION THEORY; POWER SERIES; RENORMALIZATION; SU-2 GROUPS
OSTI ID:
101166
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF550064435
Submitting Site:
NLN
Size:
pp. 291-294
Announcement Date:
Oct 05, 1995

Citation Formats

Wolff, U. Two-loop computation of a finite volume running coupling on the lattice. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00230-7.
Wolff, U. Two-loop computation of a finite volume running coupling on the lattice. Netherlands. doi:10.1016/0920-5632(95)00230-7.
Wolff, U. 1995. "Two-loop computation of a finite volume running coupling on the lattice." Netherlands. doi:10.1016/0920-5632(95)00230-7. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00230-7.
@misc{etde_101166,
title = {Two-loop computation of a finite volume running coupling on the lattice}
author = {Wolff, U}
abstractNote = {In pure SU(2) gauge theory we compute the two-loop coefficient in the relation between the lattice bare coupling and the running coupling defined through the Schroedinger functional. This result is reqiured to relate the latter to the MS-coupling in our programme to compute {alpha}{sub s}. In addition it allows us to implement O(a) improvement of the Schroedinger functional to two-loop order. The two-loop {beta}-function is verified in a perturbative computation on the lattice, and the behavior of expansions in the standard and in the Parisi-improved bare couplings are investigated beyond one loop. ((orig.)).}
doi = {10.1016/0920-5632(95)00230-7}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}