THE SPECTRUM OF THE 2-DIMENSIONAL GAUGE ISING-MODEL(1)

Citation
V. Agostini et al., THE SPECTRUM OF THE 2-DIMENSIONAL GAUGE ISING-MODEL(1), Nuclear physics. B, 484(1-2), 1997, pp. 331-352
Citations number
31
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
484
Issue
1-2
Year of publication
1997
Pages
331 - 352
Database
ISI
SICI code
0550-3213(1997)484:1-2<331:TSOT2G>2.0.ZU;2-X
Abstract
We present a high precision Monte Carlo study of the spectrum of the Z (2) gauge theory in 2 + 1 dimensions in the strong coupling phase. Usi ng state-of-the-art Monte Carlo techniques we are able to accurately d etermine up to three masses in a single channel. We compare our result s with the strong coupling expansion for the lightest mass and with re sults for the universal ratio sigma/m(2) determined for the phi(4) the ory. Finally the whole spectrum is compared with that obtained from th e Isgur-Paton flux-tube model and the spectrum of the 2 + 1-dimensiona l SU(2) gauge theory, A remarkable agreement between the Ising and SU( 2) spectra (except for the lowest mass state) is found.