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. (2020). 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).
slide + paper
Lattice QCD, Lattice gauge theory, thermal QCD, Equation of state
English
37th International Symposium on Lattice Field Theory (LATTICE2019)
2019
2020
363
041
open
Pepe, M., Dalla Brida, M., Giusti, L. (2020). 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].
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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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