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Charged surfaces and the analyticity properties of the string tension in lattice gauge theories

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Abstract

A method to prove the fact that the string tension σ in strongly coupled lattice gauge theories is of the form σ=−log β+σ, where σ is an analytic function of the inverse coupling β=1/g2, is presented. Its relation to random surface methods, in particular to the work of Debrushin and Holický, Kotecký, and Zahradník, is discussed.

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This paper is based on a talk presented at the conference on Statistical Mechanics of Phase Transitions—Mathematical and Physical Aspects, Trebon, September 1–6, 1986.

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Borgs, C. Charged surfaces and the analyticity properties of the string tension in lattice gauge theories. J Stat Phys 47, 867–876 (1987). https://doi.org/10.1007/BF01206162

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  • DOI: https://doi.org/10.1007/BF01206162

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