Equation of State of Gluon Plasma from Fundamental Modular Region

Abstract

Numerical studies of the bulk properties of the quark-gluon plasma reveal a pronounced drop in pressure $p$ compared to energy density $\e$ as the deconfining temperature is approached from above. We show by general thermodynamic reasoning that this can be explained only by a term $LT$ in the trace anomaly $þ(T) = \e - 3p$ that is linear in the temperature $T$. Such a term appears in the equation of state of the gluon plasma, which we calculate, described as a gas of quasi-particle gluons with dispersion relation $E(k)=\sqrt{k^2+\frac{M^4}{k^2}}$, that follows from the restriction of the configuration space to the fundamental modular region.

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References in corpus (2)

• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
• Propagators in Coulomb gauge from SU(2) lattice gauge theory

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