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Thermodynamics of SU(N) gauge theories in 2+1 dimensions in the $T <\ T_c$ regime

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arxiv 1011.4883 v1 pith:XTG7IML3 submitted 2010-11-22 hep-lat hep-phhep-th

Michele Caselle , Luca Castagnini , Alessandra Feo , Ferdinando Gliozzi , Marco Panero This is my paper · ORCID
classification hep-lathep-phhep-th
keywords thermodynamicsdimensionsgaugeresultstheoriesbosoniccarlocompare
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abstract

We present Monte Carlo results for the thermodynamics of pure SU(N) gauge theories with $N=2,...,6$ in 2+1 dimensions. We focus on the confined phase region $T<T_c$ and study thermodynamics variables such as the trace of the energy-momentum tensor, pressure, energy and entropy density using the integral method. We also investigate scaling properties with $N$ of the different observables. We compare our results with a gas of free glueballs and the bosonic string predictions for the Hagedorn spectrum.

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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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