Energy-momentum tensor on the lattice: recent developments

Suzuki, Hiroshi

doi:10.22323/1.256.0002

Cited by 12 publications

(16 citation statements)

References 37 publications

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“…In addition to the linear function in t, we also use the linear function of [g(µ) 2 /(4π) 2 ] +1 , where = 1 for the NLO approximation and = 2 for the N 2 LO approximation. 9 This functional form is suggested from a detailed study of the asymptotic behavior of Eq. (3.1) for t → 0 (H. Suzuki and H. Takaura, manuscript in preparation).…”

Section: Numerical Analysesmentioning

confidence: 99%

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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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Section: Numerical Analysesmentioning

confidence: 99%

“…8 The finite lattice spacing and volume effects are controlled by tT 2 [14]. 9 Recall that the renormalization scale µ is a function of t through Eq. (2.8).…”

Section: Numerical Analysesmentioning

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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“…If a candidate pseudodilaton σ is seen on the lattice for a small number N f of fermion triplets, it may be possible to determine F 2 σ from the σ-pole residue of a component of θ αβ (x)θ µν (0) vac . (We say "may," because explicit breaking of space-time symmetries by the lattice regulator makes θ αβ hard to study on the lattice [159].) Since lattice simulations are performed with massive techniquarks m ψ = 0, what is actually measured is the m ψ = 0 versionF σ of the decay constant [see Eq.…”

Section: Signals For Crawling Tc On the Latticementioning

confidence: 99%

Crawling technicolor

2019

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We analyze the Callan-Symanzik equations when scale invariance at a nontrivial infrared (IR) fixed point αir is realized in the Nambu-Goldstone (NG) mode. As a result, Green's functions at αir do not scale in the same way as for the conventional Wigner-Weyl (WW) mode. This allows us to propose a new mechanism for dynamical electroweak symmetry breaking where the running coupling α "crawls" towards (but does not pass) αir in the exact IR limit. The NG mechanism at αir implies the existence of a massless dilaton σ, which becomes massive for IR expansions in ǫ ≡ αir − α and is identified with the Higgs boson. Unlike "dilatons" that are close to a WW-mode fixed point or associated with a Coleman-Weinberg potential, our NG-mode dilaton is genuine and hence naturally light. Its (mass) 2 is proportional to ǫβ ′ (4 + β ′ )F −2 σ Ĝ 2 vac, where β ′ is the (positive) slope of the beta function at αir, Fσ is the dilaton decay constant and Ĝ 2 vac is the technigluon condensate. Our effective field theory for this works because it respects Zumino's consistency condition for dilaton Lagrangians. We find a closed form of the Higgs potential with β ′ -dependent deviations from that of the Standard Model. Flavor-changing neutral currents are suppressed if the crawling region α αir includes a sufficiently large range of energies above the TeV scale. In Appendix A, we observe that, contrary to folklore, condensates protect fields from decoupling in the IR limit. CONTENTS

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“…Regarding the renormalization of the EMT we must note that several interesting ideas, based on the Yang-Mills gradient flow [37], have been proposed [41][42][43] (see [44] for a review). Following some of these strategies promising results for the EoS have already been obtained, both in SU(3) Yang-Mills theory and QCD [45,46].…”

Section: Discussionmentioning

confidence: 99%

QCD in a moving frame: an exploratory study

Brida

Giusti

2018

EPJ Web Conf.

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Abstract. The framework of shifted boundary conditions has proven to be a very powerful tool for the non-perturbative investigation of thermal quantum field theories. For instance, it has been successfully considered for the determination of the equation of state of SU(3) Yang-Mills theory with high accuracy. The set-up can be generalized to QCD and it is expected to lead to a similar breakthrough. We present first results for QCD with three flavours of non-perturbatively O(a)-improved Wilson fermions and shifted boundary conditions.

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Energy-momentum tensor on the lattice: recent developments

Cited by 12 publications

References 37 publications

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

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

Crawling technicolor

QCD in a moving frame: an exploratory study

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