@article{e9e81fcecc264ddf8f6362c558909165,

title = "The deconfining transition for finite-temperature U(1) lattice gauge theory in (2 + 1) dimensions",

abstract = "A detailed examination of the deconfining transition in finite-temperature (2 + 1)-dimensional U(1) lattice gauge theory is presented. The transition appears to be of the Kosterlitz-Thouless type, in agreement with the two-dimensional XY model behaviour expected from universality arguments. However, measurements of the critical exponent η of the Wilson line correlation function do not give the predicted XY value.",

author = "Coddington, {Paul D.} and Hey, {Anthony J.G.} and {Alan Middleton}, A. and Townsend, {John S.}",

note = "Funding Information: A detailed examination of the deconflnlng transition in fmlte-temperature (2 + 1)-dimensional U(1) lattice gauge theory is presented The transition appears to be of the Kosterlltz-Thouless type, in agreement with the two-dimensional XY model behavlour expected from unlversahty arguments However, measurements of the critical exponent ~ of the Wilson line correlation function do not give the predicted XY value The study of lattice gauge theories at finite temperature provides a valuable testing ground for our present understanding of the dynamics of such theories In particular, Svetitsky and Yaffe \[1\]h ave incorporated most of our current beliefs about the dynamics of lattice fields into a theoretical framework for the fimte-temperature deconfinement transition. Confinement in a gauge theory may be investigated by means of an order parameter for the global symmetry associated with the centre of the gauge group. Svetltsky and Yaffe show that at sufficiently high temperatures this global symmetry is spontaneously broken and static quarks are not confined. In their analysis of the decon-fining phase transition, they argue that integrating out all the degrees of freedom of the gauge theory except those for this confinement order parameter generates an effective spin system with only short-ranged interactions. For an initial (d+ 1)-dimensional gauge theory this effective theory may be regarded as a d-dimensional spin system and the finite temperature transition in l Present address Physics Department, Princeton University, Princeton, NJ 08540, USA 2 Supported by the National Science Foundation and the Re-search Corporation. Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

year = "1986",

month = jul,

day = "24",

doi = "10.1016/0370-2693(86)90332-1",

language = "English (US)",

volume = "175",

pages = "64--68",

journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",

issn = "0370-2693",

publisher = "Elsevier",

number = "1",

}