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. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).

Pepe, M., Dalla Brida, M., Giusti, L. (2019). The energy-momentum tensor in lattice QCD and the Equation of State. Intervento presentato a: 37th International Symposium on Lattice Field Theory (LATTICE2019), Wuhan (China) [10.22323/1.363.0041].

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

Dalla Brida, Mattia
;
Giusti, Leonardo
2020

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. © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).
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slide + paper
Lattice QCD, Lattice gauge theory, thermal QCD, Equation of state
English
37th International Symposium on Lattice Field Theory (LATTICE2019)
Pepe, M., Dalla Brida, M., Giusti, L. (2019). The energy-momentum tensor in lattice QCD and the Equation of State. Intervento presentato a: 37th International Symposium on Lattice Field Theory (LATTICE2019), Wuhan (China) [10.22323/1.363.0041].
Pepe, M; Dalla Brida, M; Giusti, L
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/362021
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