Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-11-05
Nucl.Phys.B795:230-242,2008
Physics
High Energy Physics
High Energy Physics - Lattice
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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