Finite Temperature Sum Rules in Lattice Gauge Theory

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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12 pages, no figures

Scientific paper

10.1016/j.nuclphysb.2007.11.017

We derive non-perturbative sum rules in SU($N$) lattice gauge theory at finite temperature. They relate the susceptibilities of the trace anomaly and energy-momentum tensor to temperature derivatives of the thermodynamic potentials. Two of them have been derived previously in the continuum and one is new. In all cases, at finite latttice spacing there are important corrections to the continuum sum rules that are only suppressed by the bare coupling $g_0^2$. We also show how the discretization errors affecting the thermodynamic potentials can be controlled by computing these susceptibilities.

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