Elsevier

Nuclear Physics B

Volume 210, Issue 3, 25 October 1982, Pages 347-368
Nuclear Physics B

String tensions for lattice gauge theories in 2 + 1 dimensions☆

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Abstract

Compact U(1) and SU(2) lattice gauge theories in 3 euclidean dimensions are studied by standard Monte Carlo techniques. The question of extracting reliable string tensions from these theories is examined in detail, including a comparison of the Monte Carlo Wilson loop data with weak coupling predictions and a careful error analysis: our conclusions are rather different from those of previous investigations of these theories. In the case of U(1) theory, we find that only a tiny range of β values can possibly be relevant for extracting a string tension and we are unable to convincingly demonstrate the expected exponential dependence of the string tension on β. For the SU(2) theory we are able to determine, albeit with rather large errors, a string tension from a study of Wilson loops.

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    • Cited by (0)

    ☆

    Work supported in part by the US Department of Energy under contract no. DE-AC03-81-ER40050.

    1

    Present address: Physics Dept., The University of Southampton, England SO2 3SF.

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