Slope of the beta function at the fixed point of SU(2) gauge theory with six or eight flavors

Leino, Viljami; Rummukainen, Kari; Tuominen, Kimmo

doi:10.1103/physrevd.98.054503

Cited by 12 publications

(15 citation statements)

References 52 publications

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“…Because of the finite size effects and poor signal at the IRFP caused by g 2 GF − g 2 * ∼ 0, exact numbers cannot be extracted using this method. On the right side of Fig 2 we present this method for the N f = 6 model and we can see that the finite-size scaling method develops a maximum that agrees with the measurement obtained from the slope of the β -function [9,10].…”

Section: Anomalous Dimension Of the Couplingsupporting

confidence: 73%

Infrared Behaviour of SU(2) Gauge Theory with $N_f$ fundamental flavours

Leino

Rummukainen

Suorsa

et al. 2019

Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018)

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We review our recent results on the infrared behaviour of the SU(2) gauge theory with N f massless fundamental flavour fermions. We have analyzed the running of the coupling in SU(2) gauge theories with six and eight fermionic flavours using the gradient flow step scaling method. From the running of the coupling, we see a clear indication of an infrared stable fixed point in theories with six and eight flavours. These results are confirmed by our mass spectrum study, where we varied the number of flavours from two to six. We also compute the anomalous dimensions of mass and coupling.

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Section: Anomalous Dimension Of the Couplingsupporting

confidence: 73%

Infrared Behaviour of SU(2) Gauge Theory with $N_f$ fundamental flavours

Leino

Rummukainen

Suorsa

et al. 2019

Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018)

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“…A theory with N f < 11 has β g < 0, and this perturbative analysis suggests that such a theory is strongly coupled in the IR; that is, g 2 /4π grows as large as 4π as the energy scale decreases toward Λ W . This perturbative analysis is confirmed by numerical lattice studies for small N f while N f = 6 is marginal and near the conformal window [28][29][30][31][32].…”

Section: A Model 1: Include Only Su(2)l-doublet Fermionssupporting

confidence: 61%

“…However, this simple model has been studied using non-perturbative, numerical lattice techniques [33,34] for N f = 2 (see also Refs. [28][29][30][31][32]). Those studies conclude that SU(2N f ) ψ is broken to Sp(2N f ) ψ , which is the naive expectation from chiral symmetry breaking in analogy with QCD [35,36].…”

Section: A Model 1: Include Only Su(2)l-doublet Fermionsmentioning

confidence: 99%

Phase of confined electroweak force in the early Universe

2019

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We consider a modified cosmological history in which the presence of beyond-the-Standard-Model physics causes the weak gauge sector, SU(2)L, to confine before it is Higgsed. Under the assumption of chiral symmetry breaking, quark and lepton weak doublets form condensates that break the global symmetries of the Standard Model, including baryon and lepton number, down to a U(1) subgroup under which only the weak singlet fermions and Higgs transform. The weakly-coupled gauge group SU(3)c×U(1)Y is also broken to an SU(2)c× U(1)Q gauge group. The light states include (pseudo-)Goldstone bosons of the global symmetry breaking, mostly-elementary fermions primarily composed of the weak singlet quarks and leptons, and the gauge bosons of the weakly-coupled gauge group. We discuss possible signatures from early Universe cosmology including gravitational wave radiation, topological defects, and baryogenesis.

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“…Due to their applications in beyond Standard Model scenarios, asymptotically free theories with an infrared fixed point [1][2][3][4] have recently attracted attention. On the lattice the properties of this type of theories have been studied for SU (2) gauge theory with matter fields in the fundamental [5][6][7][8][9] or adjoint [10][11][12][13][14][15][16][17][18] representation.…”

Section: Introductionmentioning

confidence: 99%

SU(2) gauge theory with $N_f=24$ quarks at non-zero mass

Rantaharju,

Rindlisbacher,

Rummukainen

et al. 2021

Preprint

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We study SU(2) gauge field theory with 𝑁 𝑓 = 24 quarks. The theory is asymptotically non-free and, at vanishing quark mass, governed by a Gaussian fixed point at long distances. On the other hand, at non-zero quark mass the quarks are expected to decouple at long distances and the system behaves like confining pure gauge SU(2) theory. We study the mass spectrum of the theory as the quark mass is varied and obtain scaling laws for meson masses and string tension. We also measure the evolution of the coupling constant at non-zero quark mass with gradient flow method. We observe unambiguously the decoupling of the quarks with the associated change of evolution of the coupling constant.

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Slope of the beta function at the fixed point of SU(2) gauge theory with six or eight flavors

Cited by 12 publications

References 52 publications

Infrared Behaviour of SU(2) Gauge Theory with $N_f$ fundamental flavours

Infrared Behaviour of SU(2) Gauge Theory with $N_f$ fundamental flavours

Phase of confined electroweak force in the early Universe

SU(2) gauge theory with $N_f=24$ quarks at non-zero mass

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