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The Spectrum of the 2+1 Dimensional Gauge Ising Model

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arxiv hep-lat/9607029 v1 pith:E66UPRZP submitted 1996-07-11 hep-lat cond-mathep-th

classification hep-latcond-mathep-th
keywords spectrumgaugetheorycarlocouplingdimensionalisingmass
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. Duality and entanglement in lattice gauge theories

    hep-lat 2024-11 conditional novelty 4.0 of 10

    The continuum entropic c-function of the 2+1 dimensional Z2 gauge theory is reported to show a power-law short-distance regime and an exponential large-distance decay, with a crossover near l m_g = 1.

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