2009/05/11 by Harvey B. Meyer · 1 citation
Physics and Astronomy · #Finite volume method #High-Energy Particle Collisions Research #Mathematical physics #Observable #Particle physics theoretical and experimental studies #Partition function (quantum field theory) #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Quantum gravity #Quantum mechanics #Statistical physics #Thermal quantum field theory #Thermodynamics #hep-lat #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/07/059
published as JHEP 0907:059,2009 · (14+1) pages
arxiv created 2009/05/11 · openalex publication_date 2009/07/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 β× L2 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.