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Conformal field theory and the hot phase of three-dimensional U(1) gauge theory

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arxiv 1903.00491 v2 pith:INVO3MUV submitted 2019-03-01 cond-mat.str-el hep-lathep-th

classification cond-mat.str-elhep-lathep-th
keywords theoryphaseconformalfieldgaugeagreementanalyticalbidimensional
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the high-temperature phase of compact U(1) gauge theory in 2+1 dimensions, comparing the results of lattice calculations with analytical predictions from the conformal-field-theory description of the low-temperature phase of the bidimensional XY model. We focus on the two-point correlation functions of probe charges and the field-strength operator, finding excellent quantitative agreement with the functional form and the continuously varying critical indices predicted by conformal field theory.

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  1. On the equation of state of U(1) lattice gauge theory in three dimensions

    hep-lat 2025-01 conditional novelty 6.0 of 10

    The equation of state of 3D U(1) lattice gauge theory is consistent with a single massive state below T_c and a free photon gas above T_c, with no Hagedorn tower of states.

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