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Weak coupling perturbation theory by Langevin dynamics: fourth loop and beyond

Abstract

We recently proposed a stochastic technique by which one can compute numerically the coefficients of the weak coupling perturbative expansion of any observable in Lattice Gauge Theory. We present the result for the simple plaquette of SU(3) up to fourth loop order ({beta}{sup -4}) which extends by one loop the previously known series. We discuss the possibility of extracting the condensate from the plaquette Monte Carlo data and we comment on a possible scenario of high order perturbation theory. ((orig.)).
Authors:
Di Renzo, F; [1]  Marchesini, G; [2]  Marenzoni, P; [3]  Onofri, E [1] 
  1. Parma Univ. (Italy). Ist. di Fisica
  2. Dipartimento di Fisica Universita di Milano, Via Celoria 16, 20133 Milano (Italy)
  3. Dipartimento di Scienze dell`Informazione, Facolta di Ingegneria Universita di Parma, Viale delle Scienze, 43100 Parma (Italy)
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; 662230; PA: AIX-26:064339; EDB-95:132536; SN: 95001458355
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; PERTURBATION THEORY; QUANTUM CHROMODYNAMICS; UNIFIED GAUGE MODELS; BOSE-EINSTEIN CONDENSATION; COUPLING; LANGEVIN EQUATION; MONTE CARLO METHOD; NUMERICAL SOLUTION; POWER SERIES; STOCHASTIC PROCESSES; SU-3 GROUPS
OSTI ID:
101031
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF375064339
Submitting Site:
NLN
Size:
pp. 867-869
Announcement Date:
Oct 05, 1995

Citation Formats

Di Renzo, F, Marchesini, G, Marenzoni, P, and Onofri, E. Weak coupling perturbation theory by Langevin dynamics: fourth loop and beyond. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00405-X.
Di Renzo, F, Marchesini, G, Marenzoni, P, & Onofri, E. Weak coupling perturbation theory by Langevin dynamics: fourth loop and beyond. Netherlands. doi:10.1016/0920-5632(95)00405-X.
Di Renzo, F, Marchesini, G, Marenzoni, P, and Onofri, E. 1995. "Weak coupling perturbation theory by Langevin dynamics: fourth loop and beyond." Netherlands. doi:10.1016/0920-5632(95)00405-X. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00405-X.
@misc{etde_101031,
title = {Weak coupling perturbation theory by Langevin dynamics: fourth loop and beyond}
author = {Di Renzo, F, Marchesini, G, Marenzoni, P, and Onofri, E}
abstractNote = {We recently proposed a stochastic technique by which one can compute numerically the coefficients of the weak coupling perturbative expansion of any observable in Lattice Gauge Theory. We present the result for the simple plaquette of SU(3) up to fourth loop order ({beta}{sup -4}) which extends by one loop the previously known series. We discuss the possibility of extracting the condensate from the plaquette Monte Carlo data and we comment on a possible scenario of high order perturbation theory. ((orig.)).}
doi = {10.1016/0920-5632(95)00405-X}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}