Thermodynamics of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi><mml:mi>U</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>gauge theory from gradient flow on the lattice

Asakawa, Masayuki; Hatsuda, Tetsuo; Itou, Etsuko; Kitazawa, Masakiyo; Suzuki, Hiroshi

doi:10.1103/physrevd.90.011501

Cited by 86 publications

(61 citation statements)

References 21 publications

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“…The application of the gradient flow is not by any means limited to running coupling studies, applications also include scale setting in QCD [33][34][35][36], thermodynamics [37], renormalized energy momentum tensor [38][39][40], various aspects of chiral symmetry [41][42][43] and scalar glueballs [44].…”

Section: Jhep06(2015)019mentioning

confidence: 99%

The running coupling of 8 flavors and 3 colors

Fodor

Holland

Kuti

et al. 2015

J. High Energ. Phys.

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We compute the renormalized running coupling of SU(3) gauge theory coupled to N f = 8 flavors of massless fundamental Dirac fermions. The recently proposed finite volume gradient flow scheme is used. The calculations are performed at several lattice spacings allowing for a controlled continuum extrapolation. The results for the discrete β-function show that it is monotonic without any sign of a fixed point in the range of couplings we cover. As a cross check the continuum results are compared with the wellknown perturbative continuum β-function for small values of the renormalized coupling and perfect agreement is found.

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Section: Jhep06(2015)019mentioning

confidence: 99%

The running coupling of 8 flavors and 3 colors

Fodor

Holland

Kuti

et al. 2015

J. High Energ. Phys.

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“…The validity of the formula (6.13) for the lattice regularization has been examined numerically for the thermodynamics of the SU(3) pure Yang-Mills theory [25,28,31,32,34] and of the N f = 2 + 1 QCD [33,35] with very encouraging results. For the SU(3) pure Yang-Mills theory, two-point correlation functions of EMT has been computed [42,43] which even indicate the conservation law of EMT.…”

Section: Pos(lattice2016)002mentioning

confidence: 95%

“…Universal formula for EMT [24,25,26,27,28,29,30,31,32,33,34,35] 6.1 Small flow time representation of EMT In this section, I explain an alternative approach [24,26] to EMT on the lattice, which is based on the UV finiteness of composite operators constructed by the gradient flow (5.1) and the flow for the fermion field [40]:…”

Section: Pos(lattice2016)002mentioning

confidence: 99%

“…In Sect. 6, I will explain an alternative approach which does not rely on the representation (3.10); it employs the gradient flow to construct EMT itself [24,25,26,27,28,29,30,31,32,33,34,35].…”

Section: )mentioning

confidence: 99%

“…Moreover, from the dimensional counting, it is conceivable that the expressions are valid even in curved space 8 if straightforward suitable modifications by using the curved (euclidean) metric are made. For example, the flow equation (5.1) will be replaced by 25) where g νρ (x) and D ν are the curved space metric and the covariant derivative, respectively. Thus, if we have a lattice regularization on a curved manifold with which the general coordinate invariance 7 The quadratic Casimirs are defined from anti-hermitian group generators by tr 8 If the scalar field exists, we will have additional terms in EMT which contain the scalar curvature.…”

Section: Pos(lattice2016)002mentioning

confidence: 99%

See 2 more Smart Citations

Energy-momentum tensor on the lattice: recent developments

Suzuki

2017

Proceedings of 34th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2016)

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Flow equation of N $$ \mathcal{N} $$ = 1 supersymmetric O(N ) nonlinear sigma model in two dimensions

Aoki

Kikuchi

Onogi

2018

J. High Energ. Phys.

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We study the flow equation for the N = 1 supersymmetric O(N) nonlinear sigma model in two dimensions, which cannot be given by the gradient of the action, as evident from dimensional analysis. Imposing the condition on the flow equation that it respects both the supersymmetry and the O(N) symmetry, we show that the flow equation has a specific form, which however contains an undetermined function of the supersymmetric derivatives D andD. Taking the most simple choice, we propose a flow equation for this model. As an application of the flow equation, we give the solution of the equation at the leading order in the large N expansion. The result shows that the flow of the superfield in the model is dominated by the scalar term, since the supersymmetry is unbroken in the original model. It is also shown that the two point function of the superfield is finite at the leading order of the large N expansion.

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Thermodynamics ofSU(3)gauge theory from gradient flow on the lattice

Cited by 86 publications

References 21 publications

The running coupling of 8 flavors and 3 colors

The running coupling of 8 flavors and 3 colors

Energy-momentum tensor on the lattice: recent developments

Flow equation of N $$ \mathcal{N} $$ = 1 supersymmetric O(N ) nonlinear sigma model in two dimensions

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