Abstract
In this paper we show how to improve the recent resultβ c ⩽17.2λ on the inverse critical temperature for the two-dimensional Coulomb gas at low density to get the following upper bound:β c ⩽16λ.
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References
D. H. Marchetti, Comments on “Power law fall off in the two dimensional lattice Coulomb gas,” Rutgers University preprint,J. Stat. Phys., to appear.
Gastão de Almeida Braga, The two dimensional lattice Coulomb gas at low temperature, Ph.D. thesis, New York University (1989).
J. Dimock and T. R. Hurd, A renormalization group analysis of the Kosterlitz-Thouless phase, preprint (1990).
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de Almeida Braga, G. A new rigorous upper bound for the inverse critical temperature of the two-dimensional Coulomb gas. J Stat Phys 63, 285–289 (1991). https://doi.org/10.1007/BF01026604
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DOI: https://doi.org/10.1007/BF01026604