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arXiv · 1911.13023

The energy-momentum tensor in lattice QCD and the Equation of State

Mattia Dalla Brida·Leonardo Giusti·Michele Pepe
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Abstract

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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Mattia Dalla Brida, Leonardo Giusti, Michele Pepe. 2019-11-29. The energy-momentum tensor in lattice QCD and the Equation of State. https://arxiv.org/abs/1911.13023

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