The Spectrum of the 2+1 Dimensional Gauge Ising Model

Details The Spectrum of the 2+1 Dimensional Gauge Ising Model The Spectrum of the 2+1 Dimensional Gauge Ising Model

1996-07-11

arxiv.org/abs/hep-lat/9607029v1

Nucl.Phys. B484 (1997) 331-352

Physics

High Energy Physics

High Energy Physics - Lattice

uuencoded latex file of 22 pages plus 4 ps figures

Scientific paper

10.1016/S0550-3213(96)00539-1

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.

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