The spectrum of SU(N) gauge theories in finite volume

Simple item page
dc.creatorMeyer, Harvey B.
dc.date2004-12-13
dc.date2005-04-26
dc.date.accessioned2026-07-07T10:48:26Z
dc.date.available2026-07-07T10:48:26Z
dc.descriptionWe compute the spatial-volume dependence of the spectrum of 4D SU(3 <= N <= 6) gauge theories by lattice Monte-Carlo techniques. Setting the scale with the string tension, the spatial volume is L^3 with 0.78fm <= L <= 2.3fm. The Euclidean `time' direction is kept large enough to be considered infinite and the boundary conditions are periodic in all four dimensions. We study the mixing of torelon pairs with the scalar and tensor glueballs, using a 2x2 Hamiltonian based on large-N counting rules. Looking to the other symmetry channels, finite-volume effects on the glueball spectrum are already surprisingly small in SU(3), and they become rapidly smaller as N is increased: several low-lying SU(6) states have no finite-volume corrections at the 1-2% level, at least down to L=0.9fm. We discuss the relation of this work with analytic calculations in small and intermediate volume, and with Eguchi-Kawai reduction in the planar limit.
dc.description20 pages, 5 figures; major rewriting of section 2, and other minor improvements: version accepted in JHEP
dc.identifierhttps://arxiv.org/abs/hep-lat/0412021
dc.identifierhttp://arxiv.org/abs/hep-lat/0412021
dc.identifierJHEP0503:064,2005
dc.identifierdoi:10.1088/1126-6708/2005/03/064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183879
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleThe spectrum of SU(N) gauge theories in finite volume
dc.typetext

Files

Collections

arXiv