QCD in a moving frame: an exploratory study

Brida, Mattia Dalla; Giusti, Leonardo

doi:10.1051/epjconf/201817514012

Cited by 8 publications

(9 citation statements)

References 36 publications

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“…[21], that charm contributions become appreciable when T 500 MeV. A future challenge for lattice QCD is to bring computations with discretizations other than staggered at the same level of accuracy; promising approaches to improve on Wilson fermions are on the way, based on the imaginary moving frame approach [24,25,26], on the gradient flow [27,28,29], on non-equilibrium methods [30] and on twisted mass discretizations [31].…”

Section: Properties Of the Strongly Interacting Thermal Mediummentioning

confidence: 99%

High-Temperature QCD: theory overview

D’Elia

2019

Nuclear Physics A

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Section: Properties Of the Strongly Interacting Thermal Mediummentioning

confidence: 99%

High-Temperature QCD: theory overview

D’Elia

2019

Nuclear Physics A

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“…[22][23][24][25][26] and more recent works in Refs. [27][28][29][30][31][32] on this problem. Two independent thermodynamic quantities, such as the energy density ε and the pressure p, can be computed from the finite-temperature expectation value of the traceless part and the trace part of the EMT, respectively, as 2…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics in quenched QCD: energy–momentum tensor with two-loop order coefficients in the gradient-flow formalism

Iritani

Kitazawa

Suzuki

et al. 2019

Progress of Theoretical and Experimental Physics

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Recently, Harlander et al. [Eur. Phys. J. C 78, 944 (2018)] have computed the twoloop order (i.e., NNLO) coefficients in the gradient-flow representation of the energymomentum tensor (EMT) in vector-like gauge theories. In this paper, we study the effect of the two-loop order corrections (and the three-loop order correction for the trace part of the EMT, which is available through the trace anomaly) on the lattice computation of thermodynamic quantities in quenched QCD. The use of the two-loop order coefficients generally reduces the t dependence of the expectation values of the EMT in the gradient-flow representation, where t is the flow time. With the use of the two-loop order coefficients, therefore, the t → 0 extrapolation becomes less sensitive to the fit function, the fit range, and the choice of the renormalization scale; the systematic error associated with these factors is considerably reduced.

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“…In the absence of spontaneous chiral symmetry breaking, chirally symmetric correlators of Wilson fermions in the presence of an even number of massless quarks are proven to be automatically O(a)-improved [42,43]. This occurs, for instance, in a finite volume without boundaries [43] or in the thermal theory at high temperature [44]. To extend this result to a generic number of flavours N f > 1 but still small enough to have asymptotic freedom, we consider the discrete axial symmetry S 5 defined as…”

Section: Automatic O(a)-improvement With Massless Quarksmentioning

confidence: 99%

Non-perturbative definition of the QCD energy-momentum tensor on the lattice

Brida

Giusti

2020

J. High Energ. Phys.

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We present a strategy to define non-perturbatively the energy-momentum tensor in Quantum Chromodynamics (QCD) which satisfies the appropriate Ward identities and has the right trace anomaly. The tensor is defined by regularizing the theory on a lattice, and by fixing its renormalization constants non-perturbatively by suitable Ward identities associated to the Poincaré invariance of the continuum theory. The latter are derived in thermal QCD with a non-zero imaginary chemical potential formulated in a moving reference frame. A renormalization group analysis leads to simple renormalizationgroup-invariant definitions of the gluonic and fermionic contributions to either the singlet or the non-singlet components of the tensor, and therefore of their form factors among physical states. The lattice discussion focuses on the Wilson discretization of quark fields but the strategy is general. Specific to that case, we also carry out the analysis for the on-shell O(a)-improvement of the energy-momentum tensor. The renormalization and improvement programs profit from the fact that, as shown here, the thermal theory enjoys de-facto automatic O(a)-improvement at finite temperature. The validity of the proposal is scrutinized analytically by a study to 1-loop order in lattice perturbation theory with shifted and twisted (for quarks only) boundary conditions. The latter provides also additional useful insight for a precise non-perturbative calculation of the renormalization constants. The strategy proposed here is accessible to Monte Carlo computations, and in this sense it provides a practical way to define non-perturbatively the energy-momentum tensor in QCD.

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QCD in a moving frame: an exploratory study

Cited by 8 publications

References 36 publications

High-Temperature QCD: theory overview

High-Temperature QCD: theory overview

Thermodynamics in quenched QCD: energy–momentum tensor with two-loop order coefficients in the gradient-flow formalism

Non-perturbative definition of the QCD energy-momentum tensor on the lattice

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