SU(2) Lattice gauge theory in (2+1)D |
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| Authors: | C J Hamer A C Irving |
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| Institution: | 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
2. D.A.M.T.P., University of Liverpool, L69 3BX, Liverpool, UK
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| 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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