Do large abelian monopole loops survive the continuum limit?

Authors
Citation
M. Grady, Do large abelian monopole loops survive the continuum limit?, NUCL PH B-P, 73, 1999, pp. 551-553
Citations number
11
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
ISSN journal
09205632 → ACNP
Volume
73
Year of publication
1999
Pages
551 - 553
Database
ISI
SICI code
0920-5632(199903)73:<551:DLAMLS>2.0.ZU;2-6
Abstract
An analysis of the monopole loop length distribution is performed in Wilson -action SU(2) lattice gauge theory. A pure power law in the inverse length is found, at least for loops of length, l, less than the linear lattice siz e N. This power shows a definite beta dependence, passing 5 around beta = 2 .9, and appears to have very little finite lattice size dependence. It is s hown that when this power exceeds 5, no loops any finite fraction of the la ttice size will survive the infinite lattice limit. This is true for any re asonable size distribution for loops larger than N. The apparent lack of fi nite size dependence in this quantity would seem to indicate that abelian m onopole loops large enough to cause confinement do not survive the continuu m limit. Indeed they are absent for all beta > 2.9.