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Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
The energy-momentum tensor in lattice QCD and the Equation of State
M. Dalla Brida, L. Giusti, M. Pepe*
*corresponding author
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Pre-published on: 2020 January 03
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We present a new theoretical and practical strategy to renormalize non-perturbatively the energy-momentum tensor in lattice QCD based on the framework of shifted boundary conditions. As a preparatory step for the fully non-perturbative calculation, we apply the strategy at 1-loop order in perturbation theory determining the renormalization constants of both the gluonic and the fermionic components of the energy-momentum tensor. Using shifted boundary conditions, the entropy density of QCD is directly related to the expectation value of the space-time components of the renormalized energy-momentum tensor. We then discuss its practical implementation by numerical simulations of QCD with 3 flavours of Wilson quarks for temperatures between 2.5 GeV and 80 GeV.
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