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SU(2) Lattice gauge theory in (2+1)D

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Zeitschrift für Physik C Particles and Fields

Abstract

Cluster expansion methods are applied to theSU(2) lattice gauge model in (2+1) dimensions. Strong-coupling series are calculated for the vacuum energy per site, the axial string tension, and the scalar mass gap; while ELCE approximants are used to estimate the string tension beyond its roughening transition. The simple scaling behaviour expected of this super-renormalizable theory is clearly seen, and we estimate that in the continuum limit the string tension σ∼(0.14±0.01)g 4, while the mass gapM s ∼(2.2±0.25)g 2. More accurate Monte Carlo simulations are needed to check the universality between the Hamiltonian and Euclidean versions of this model.

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Authors and Affiliations

  1. Department of Theoretical Physics, Research School of Physical Sciences, The Australian National University, G.P.O. Box 4, 2601, Canberra, A.C.T., Australia

    C. J. Hamer

  2. D.A.M.T.P., University of Liverpool, L69 3BX, Liverpool, UK

    A. C. Irving

Authors
  1. C. J. Hamer
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  2. A. C. Irving
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Hamer, C.J., Irving, A.C. SU(2) Lattice gauge theory in (2+1)D . Z. Phys. C - Particles and Fields 27, 307–314 (1985). https://doi.org/10.1007/BF01556621

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  • DOI: https://doi.org/10.1007/BF01556621

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