2014
DOI: 10.1103/physrevd.90.114502
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Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory

Abstract: We study an SU(3) gauge theory with N f = 8 degenerate flavors of light fermions in the fundamental representation. Using the domain wall fermion formulation, we investigate the light hadron spectrum, chiral condensate ψψ and electroweak S parameter. We consider a range of light fermion masses on two lattice volumes at a single gauge coupling chosen so that IR scales approximately match those from our previous studies of the two-and six-flavor systems. Our results for the N f = 8 spectrum suggest spontaneous c… Show more

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Cited by 77 publications
(95 citation statements)
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“…This seems strange; if a data set is going to be infrared conformal, it will be most infrared conformal at the smallest fermion mass, subject to the caveat that finite volume effects are largest there. Appelquist et al (2014a) also have data at one gauge coupling, two large volumes, and several quark masses. They see separation between the pseudoscalar and vector masses and lack of parity doubling in the vector and axial vector channels, all increasing at their smallest fermion masses.…”
Section: Fig 21mentioning
confidence: 99%
“…This seems strange; if a data set is going to be infrared conformal, it will be most infrared conformal at the smallest fermion mass, subject to the caveat that finite volume effects are largest there. Appelquist et al (2014a) also have data at one gauge coupling, two large volumes, and several quark masses. They see separation between the pseudoscalar and vector masses and lack of parity doubling in the vector and axial vector channels, all increasing at their smallest fermion masses.…”
Section: Fig 21mentioning
confidence: 99%
“…The lightest composite scalar, so-called walking dilaton, arises as the consequence of the spontaneous breaking of the (approximate) scale invariance, and simultaneously gets massive due to the explicit breaking induced by the scale anomaly [10] arising from the Miransky scaling above: β(α) = ∂α/∂ ln Λ UV ∼ − α c π (α/α c − 1) 3/2 . QCD with eight flavors has been confirmed by lattice simulations to be walking with the chiral broken phase [11,12,13]. In that case, it has been observed on lattices [14,15,16] that the walking dilaton formed by a flavor singlet bilinearFF can be as light as or less than the chiral symmetry breaking scale m F , in accordance with the expected particle identity as a pseudo Nambu-Goldstone (pNG) boson for the scale symmetry breaking.…”
Section: Introductionmentioning
confidence: 63%
“…Our future plans, beside completing the analyses presented here, include a careful comparison of the scalar spectrum and of the beta function with N f = 4, which is our template for QCD. Moreover, we want to expand our previous study 8 of the S parameter to investigate the electroweak constraints on this theory in the massless limit.…”
Section: Discussionmentioning
confidence: 99%