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How can we measure the length of the quark propagator in lattice QCD?

Abstract

We suggest that the fractal nature of quantum mechanical paths should play a role in non-local order parameters in gauge theory, like the Wilson loop. We study the geometry of quantum mechanical paths by measuring the length of paths and its critical exponent (Hausdorff dimension). For local potentials we find results compatible with d{sub H}=2. Then we consider the length of a quark propagator in lattice QCD. We give a definition and present some numerical results for a simplified free propagator. ((orig.)).
Authors:
Kroeger, H; [1]  Lantagne, S; [1]  Plache, B [2] 
  1. Laval Univ., Quebec City, PQ (Canada). Dept. de Physique
  2. Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, N.S. B3H 3J5 (Canada)
Publication Date:
Apr 01, 1995
Product Type:
Journal Article
Report Number:
CONF-9409269-
Reference Number:
SCA: 662110; 662230; PA: AIX-26:064434; EDB-95:132535; SN: 95001458448
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; PROPAGATOR; QUANTUM CHROMODYNAMICS; UNIFIED GAUGE MODELS; ANOMALOUS DIMENSION; FRACTALS; GEOMETRY; HAUSDORFF SPACE; LENGTH; LOCALITY; ORDER PARAMETERS; POTENTIALS; QUANTUM MECHANICS; QUARKS; SU-3 GROUPS; WILSON LOOP
OSTI ID:
101165
Country of Origin:
Netherlands
Language:
English
Other Identifying Numbers:
Journal ID: NPBSE7; ISSN 0920-5632; TRN: NL95FF534064434
Submitting Site:
NLN
Size:
pp. 349-351
Announcement Date:
Oct 05, 1995

Citation Formats

Kroeger, H, Lantagne, S, and Plache, B. How can we measure the length of the quark propagator in lattice QCD?. Netherlands: N. p., 1995. Web. doi:10.1016/0920-5632(95)00246-6.
Kroeger, H, Lantagne, S, & Plache, B. How can we measure the length of the quark propagator in lattice QCD?. Netherlands. doi:10.1016/0920-5632(95)00246-6.
Kroeger, H, Lantagne, S, and Plache, B. 1995. "How can we measure the length of the quark propagator in lattice QCD?" Netherlands. doi:10.1016/0920-5632(95)00246-6. https://www.osti.gov/servlets/purl/10.1016/0920-5632(95)00246-6.
@misc{etde_101165,
title = {How can we measure the length of the quark propagator in lattice QCD?}
author = {Kroeger, H, Lantagne, S, and Plache, B}
abstractNote = {We suggest that the fractal nature of quantum mechanical paths should play a role in non-local order parameters in gauge theory, like the Wilson loop. We study the geometry of quantum mechanical paths by measuring the length of paths and its critical exponent (Hausdorff dimension). For local potentials we find results compatible with d{sub H}=2. Then we consider the length of a quark propagator in lattice QCD. We give a definition and present some numerical results for a simplified free propagator. ((orig.)).}
doi = {10.1016/0920-5632(95)00246-6}
journal = {Nuclear Physics B, Proceedings Supplements}
volume = {42}
journal type = {AC}
place = {Netherlands}
year = {1995}
month = {Apr}
}