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Finite Volume Effects in Thermal Field Theory

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arxiv 0905.1663 v1 pith:OBQRYQC7 submitted 2009-05-11 hep-th hep-lat

classification hep-thhep-lat
keywords finitevolumeeffectstheoryfieldformulaleadingscreening
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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.

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  1. Non-perturbative thermal QCD at very high temperatures: computational strategy and hadronic screening masses

    hep-lat 2024-11 conditional novelty 3.0 of 10

    Non-perturbative lattice QCD shows hadronic screening masses deviate from NLO perturbation theory from 1 to 160 GeV, with the baryonic NLO correction computed for the first time.

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