Glueballs and the Yang-Mills plasma in a $T$-matrix approach

Abstract

The strongly coupled phase of Yang-Mills plasma with arbitrary gauge group is studied in a $T$-matrix approach. The existence of lowest-lying glueballs, interpreted as bound states of two transverse gluons (quasi-particles in a many-body set up), is analyzed in a non-perturbative scattering formalism with the input of lattice-QCD static potentials. Glueballs are actually found to be bound up to 1.3 $T_c$. Starting from the $T$-matrix, the plasma equation of state is computed by resorting to Dashen, Ma and Bernstein's formulation of statistical mechanics and favorably compared to quenched lattice data. Special emphasis is put on SU($N$) gauge groups, for which analytical results can be obtained in the large-$N$ limit, and predictions for a $G_2$ gauge group are also given within this work.

Fig. 4 corrected and references added

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Cited by in corpus (7)

• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Fluctuations of order parameter in an $SU(N_c)$ effective model
• The fate of the critical endpoint at large $N_c$
• Thermodynamics of the Glueball Resonance Gas
• A Novel Mechanism for $J/\psi$ Disintegration in Relativistic Heavy Ion Collisions
• Thermodynamics of the Quark-Gluon Plasma within a T-matrix approach
• Lattice simulations of $G_2$-QCD at finite density