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Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions I — The confining phase

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Abstract

We compute the equation of state in the confining phase of SU(N) Yang-Mills theories with N = 2, 3, 4, 5 and 6 colors in 2 + 1 dimensions, via lattice simulations. At low enough temperatures, the results are accurately described by a gas of glueballs, including all known states below the two-particle threshold. Close to the deconfinement temperature, however, this prediction underestimates the numerical results, and the contribution from heavier glueballs has to be included. We show that the spectral density of the latter can be accurately described using a simple bosonic string model.

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Authors and Affiliations

  1. Dipartimento di Fisica Teorica dell’Università di Torino and INFN, Sezione di Torino, Via P. Giuria 1, I-10125, Torino, Italy

    Michele Caselle, Alessandra Feo & Ferdinando Gliozzi

  2. Institute for Theoretical Physics, University of Regensburg, D-93040, Regensburg, Germany

    Luca Castagnini

  3. Department of Physics and Helsinki Institute of Physics, University of Helsinki, FIN-00014, Helsinki, Finland

    Marco Panero

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  1. Michele Caselle
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  2. Luca Castagnini
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Correspondence to Marco Panero.

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Caselle, M., Castagnini, L., Feo, A. et al. Thermodynamics of SU(N) Yang-Mills theories in 2 + 1 dimensions I — The confining phase. J. High Energ. Phys. 2011, 142 (2011). https://doi.org/10.1007/JHEP06(2011)142

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