Finite Volume Effects in Thermal Field Theory

Abstract

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.

(14+1) pages

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• Thermodynamic potentials from shifted boundary conditions: the scalar-field theory case
• Jarzynski's theorem for lattice gauge theory
• On the smallest screening masses in hot QCD
• HYDJET++ heavy ion event generator and its applications for RHIC and LHC
• Excluded-volume effects for a hadron gas in Yang-Mills theory
• Geometrically confined thermal field theory: Finite size corrections and phase transitions
• Holography of the Quark Matter Triple Point
• Shape of the hot topological charge density spectral function
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