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

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.

1+22 pages, 8 eps figures; v2: added comments about the uncertainties on the temperature scale and the pressure, expanded the discussion in section 4, added references: version published in JHEP

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Cited by in corpus (12)

• SU(N) gauge theories at large N
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Exploring the Universe with Dark Light Scalars
• Glueballs and the Yang-Mills plasma in a $T$-matrix approach
• Thermodynamics of the Glueball Resonance Gas
• Confining strings in three-dimensional gauge theories beyond the Nambu--Gotō approximation
• Conformal field theory and the hot phase of three-dimensional U(1) gauge theory
• Investigating jet quenching on the lattice
• Critical exponents and transport properties near the QCD critical endpoint from the statistical bootstrap model
• Monomer-dimer tensor-network basis for qubit-regularized lattice gauge theories
• Thermal evolution of dark matter and gravitational-wave production in the early universe from a symplectic glueball model
• On the equation of state of U(1) lattice gauge theory in three dimensions