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Critical behavior of the compact 3d U(1) theory in the limit of zero spatial coupling

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arxiv 0806.2081 v2 pith:HLTSAXU5 submitted 2008-06-12 hep-lat cond-mat.stat-mech

Oleg Borisenko , Mario Gravina , Alessandro Papa This is my paper · ORCID
classification hep-latcond-mat.stat-mech
keywords gaugelatticemodelspatialtheorycompactcouplingcritical
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Critical properties of the compact three-dimensional U(1) lattice gauge theory are explored at finite temperatures on an asymmetric lattice. For vanishing value of the spatial gauge coupling one obtains an effective two-dimensional spin model which describes the interaction between Polyakov loops. We study numerically the effective spin model for N_t=1,4,8 on lattices with spatial extension ranging from L=64 to L=256. Our results indicate that the finite-temperature U(1) lattice gauge theory belongs to the universality class of the two-dimensional XY model, thus supporting the Svetitsky-Yaffe conjecture.

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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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