The Spectrum of the 2+1 Dimensional Gauge Ising Model

Original · EN

We present a high precision Monte Carlo study of the spectrum of the Z₂ 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 σ/m² determined for the ϕ⁴-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.