Linked cluster expansions for U(1) lattice gauge theory in 2 + 1 and 3 + 1 dimensions |
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Authors: | A.C. Irving C.J. Hamer |
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Affiliation: | Department of Theoretical Physics, Research School of Physical Sciences, The Australian National University, GPO Box 4, Canberra, ACT 2601, Australia |
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Abstract: | Compact U(1) lattice gauge theory is studied in 2 + 1 and 3 + 1 dimensions using strong coupling series expansions and the recently proposed exact linled cluster expansion alborithm Results for the vacuum energy, specific heat and axial string tension in 2 + 1 dimensions are in agreement with previous finite lattice estimates. In 3 + 1 dimensions, we present new strong coupling series results (order g?40) which together with the ELCE estimates show evidence of a continuous phase transition at x = 1/g4 = 0.72 ± 0.08. The associated critical index for the vanishing string tension is μ = 0.65 ± 0.12. The axial string tension in D = 3 + 1 appears to undergo a non-deconfining roughening transition at smaller x (0.56 ± 0.07). |
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