Finite Volume Effects in Thermal Field Theory

Details Finite Volume Effects in Thermal Field Theory Finite Volume Effects in Thermal Field Theory

2009-05-11

arxiv.org/abs/0905.1663v1

JHEP 0907:059,2009

Physics

High Energy Physics

High Energy Physics - Theory

(14+1) pages

Scientific paper

10.1088/1126-6708/2009/07/059

We analyze the effect of a finite volume on the thermodynamic potentials of a relativistic quantum field theory defined on a hypertorus at vanishing chemical potential. Using the symmetries of the Euclidean partition function, we interpret the thermodynamic observables as the expectation value of the energy-momentum tensor in the same theory living on a $\beta\times L^2$ volume. In the case where the screening correlation lengths in the thermal system are finite, we obtain a closed formula for the leading finite volume effects in terms of the smallest screening mass. This formula can be used to estimate, and possibly correct for, the leading finite volume effects in lattice calculations of QCD thermodynamics.

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