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. Using state of
the art Monte Carlo techniques we are able to accurately determine up to three
masses in a single channel. We compare our results with the strong coupling
expansion for the lightest mass and with results for the universal ratio
$\sigma/m^2$ determined for the $\phi^4$-theory. Finally the whole spectrum is
compared with that obtained from the Isgur-Paton flux tube model and the
spectrum of the $2+1$ dimensional $SU(2)$ gauge theory. A remarkable agreement
between the Ising and SU(2) spectra (except for the lowest mass state) is
found.
Описание
The Spectrum of the 2+1 Dimensional Gauge Ising Model
%0 Generic
%1 Agostini1996
%A Agostini, V.
%A Carlino, G.
%A Caselle, M.
%A Hasenbusch, M.
%D 1996
%K Ising MonteCarlo d=3 gauged lattice qft_seminar
%T The Spectrum of the 2+1 Dimensional Gauge Ising Model
%U http://arxiv.org/abs/hep-lat/9607029
%X 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. Using state of
the art Monte Carlo techniques we are able to accurately determine up to three
masses in a single channel. We compare our results with the strong coupling
expansion for the lightest mass and with results for the universal ratio
$\sigma/m^2$ determined for the $\phi^4$-theory. Finally the whole spectrum is
compared with that obtained from the Isgur-Paton flux tube model and the
spectrum of the $2+1$ dimensional $SU(2)$ gauge theory. A remarkable agreement
between the Ising and SU(2) spectra (except for the lowest mass state) is
found.
@misc{Agostini1996,
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. Using state of
the art Monte Carlo techniques we are able to accurately determine up to three
masses in a single channel. We compare our results with the strong coupling
expansion for the lightest mass and with results for the universal ratio
$\sigma/m^2$ determined for the $\phi^4$-theory. Finally the whole spectrum is
compared with that obtained from the Isgur-Paton flux tube model and the
spectrum of the $2+1$ dimensional $SU(2)$ gauge theory. A remarkable agreement
between the Ising and SU(2) spectra (except for the lowest mass state) is
found.
},
added-at = {2009-03-31T14:28:23.000+0200},
author = {Agostini, V. and Carlino, G. and Caselle, M. and Hasenbusch, M.},
biburl = {https://www.bibsonomy.org/bibtex/2d164050c6f8cdaccc20a6c3b215c3eb6/tobias_qft_tpi},
description = {The Spectrum of the 2+1 Dimensional Gauge Ising Model},
interhash = {31c21f3e43284401b86a414efcbdccfc},
intrahash = {d164050c6f8cdaccc20a6c3b215c3eb6},
keywords = {Ising MonteCarlo d=3 gauged lattice qft_seminar},
note = {cite arxiv:hep-lat/9607029
Comment: uuencoded latex file of 22 pages plus 4 ps figures},
timestamp = {2009-03-31T14:28:23.000+0200},
title = {The Spectrum of the 2+1 Dimensional Gauge Ising Model},
url = {http://arxiv.org/abs/hep-lat/9607029},
year = 1996
}