Non-perturbative running of the coupling from four-flavour lattice QCD with staggered quarks

Rubio, Paula Pérez; Sint, Stefan

doi:10.22323/1.105.0236

Cited by 10 publications

(12 citation statements)

References 8 publications

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“…At each g 2 c (L) the continuum extrapolated result is consistent within ∼2σ with the two-loop perturbative prediction, denoted by a black cross in figure 2. Comparable consistency with perturbation theory was found in previous studies [33,34,36,37].…”

Section: Improving Gradient Flow Step Scalingsupporting

confidence: 87%

“…[36] using O(a)-improved Wilson fermions, and in ref. [37] using staggered fermions. In our calculations we use nHYP-smeared [41,42] staggered fermions and a gauge action that includes an adjoint plaquette term in order to move farther away from a well-known spurious fixed point in the adjoint-fundamental plaquette plane [21].…”

Section: Improving Gradient Flow Step Scalingmentioning

confidence: 99%

“…While this improvement is phenomenological in the sense that we have not derived it systematically through a full improvement program, it is generally applicable to any lattice gauge theory of interest and can remove all O(a 2 ) cut-off effects. We illustrate it first for 4-flavor SU(3) gauge theory, a system where the running coupling has previously been studied with both Wilson [36] and staggered [33,34,37] fermions. We then turn to N f = 12, where we show that the infinite-volume continuum limit is well defined and predicts an IRFP.…”

Section: Introductionmentioning

confidence: 99%

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Improving the continuum limit of gradient flow step scaling

Cheng

Hasenfratz

Liu

et al. 2014

J. High Energ. Phys.

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We introduce a non-perturbative improvement for the renormalization group step scaling function based on the gradient flow running coupling, which may be applied to any lattice gauge theory of interest. Considering first SU(3) gauge theory with N f = 4 massless staggered fermions, we demonstrate that this improvement can remove O(a 2 ) lattice artifacts, and thereby increases our control over the continuum extrapolation. Turning to the 12-flavor system, we observe an infrared fixed point in the infinite-volume continuum limit. Applying our proposed improvement reinforces this conclusion by removing all observable O(a 2 ) effects. For the finite-volume gradient flow renormalization scheme defined by c = √ 8t/L = 0.2, we find the continuum conformal fixed point to be located at g 2 = 6.2(2).

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Section: Improving Gradient Flow Step Scalingsupporting

confidence: 87%

Section: Improving Gradient Flow Step Scalingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Improving the continuum limit of gradient flow step scaling

Cheng

Hasenfratz

Liu

et al. 2014

J. High Energ. Phys.

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“…However, the overall desired precision is very high as well, and the results in CP-PACS 04 [483] show that discretisation errors at the below percent level cannot be taken for granted. In particular with staggered fermions (unimproved except for boundary terms) few percent effects are seen in Perez 10 [486].…”

Section: Discussion Of Computationsmentioning

confidence: 99%

Review of lattice results concerning low-energy particle physics

et al. 2011

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We review lattice results related to pion, kaon, D-and B-meson physics with the aim of making them easily accessible to the particle-physics community. More specifically, we report on the determination of the lightquark masses, the form factor f + (0), arising in semileptonic K → π transition at zero momentum transfer, as well as the decay-constant ratio f K / f π of decay constants and its consequences for the CKM matrix elements V us and V ud . Furthermore, we describe the results obtained on the lattice for some of the low-energy constants of SU(2) L × SU(2) R and SU(3) L ×SU(3) R Chiral Perturbation Theory and review the determination of the B K parameter of neutral kaon mixa e-mail: gilberto@itp.unibe.ch ing. The inclusion of heavy-quark quantities significantly expands the FLAG scope with respect to the previous review. Therefore, we focus here on D-and B-meson decay constants, form factors, and mixing parameters, since these are most relevant for the determination of CKM matrix elements and the global CKM unitarity-triangle fit. In addition we review the status of lattice determinations of the strong coupling constant α s .

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“…For theories with a multiple of four massless fermion flavours 1 , staggered quarks constitute an attractive alternative to Wilson quarks: no tuning is required to recover the chiral limit, and numerical simulations for a given lattice size are computationally less demanding. In fact, the SF coupling has already been studied with N f = 16 [8] and N f = 8, 12 [9] fermion flavours, and a four-flavour QCD study is in preparation [10][11][12]. A drawback, however, consists in the observation that staggered fermions require lattices with an even extent L/a in the spatial directions, whereas the time extent T /a must be odd [6,7].…”

Section: Introductionmentioning

confidence: 99%

An O(a) modified lattice set-up of the Schrödinger functional in SU(3) gauge theory

Rubio

Sint

Takeda

2011

J. High Energ. Phys.

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The set-up of the QCD Schrödinger functional (SF) on the lattice with staggered quarks requires an even number of points L/a in the spatial directions, while the Euclidean time extent of the lattice, T /a, must be odd. Identifying a unique renormalisation scale, L = T , is then only possible up to O(a) lattice artefacts. In this article we study such lattices in the pure SU(3) gauge theory, where we can also compare to the standard set-up. We consider the SF coupling as obtained from the variation of an SU(3) Abelian and spatially constant background field. The O(a) lattice artefacts can be cancelled by the existing O(a) boundary counterterm. However, its coefficient, c t , differs at the tree-level from its standard value, so that one first needs to re-determine the induced background gauge field. The perturbative one-loop correction to the coupling allows to determine c t to one-loop order. A few numerical simulations serve to demonstrate that residual cutoff effects in the step scaling function are small in both cases, T = L ± a and comparable to the standard case with T = L.

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Non-perturbative running of the coupling from four-flavour lattice QCD with staggered quarks

Cited by 10 publications

References 8 publications

Improving the continuum limit of gradient flow step scaling

Improving the continuum limit of gradient flow step scaling

Review of lattice results concerning low-energy particle physics

An O(a) modified lattice set-up of the Schrödinger functional in SU(3) gauge theory

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