Running coupling constant of ten-flavor QCD with the Schrödinger functional method

Abstract

Walking technicolor theory attempts to realize electroweak symmetry breaking as the spontaneous chiral symmetry breakdown caused by the gauge dynamics with slowly varying gauge coupling constant and large mass anomalous dimension. Many-flavor QCD is one of the candidates owning these features. We focus on the SU(3) gauge theory with ten flavors of massless fermions in the fundamental representation, and compute the gauge coupling constant in the Schrödinger functional scheme. Numerical simulation is performed with $O(a)$-unimproved lattice action, and the continuum limit is taken in linear in lattice spacing. We observe evidence that this theory possesses an infrared fixed point.

28 pages, 6 figures. v2) remarks on the continuum limit added, analysis simplified and done with more statistics, conclusion unchanged, version accepted for publication in PRD

References in corpus (8)

• Chiral phase boundary of QCD at finite temperature
• Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions
• The physics of eight flavours
• Nearly conformal gauge theories in finite volume
• The infrared dynamics of Minimal Walking Technicolor
• Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours
• Phase structure of SU(3) gauge theory with two flavors of symmetric-representation fermions
• S-parameter and pseudo-Nambu-Goldstone boson mass from lattice QCD

Cited by in corpus (11)

• Empirical Consequences of Emergent Mass
• QCD Running Couplings and Effective Charges
• A Very Light Dilaton
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• An Analysis of Scheme Transformations in the Vicinity of an Infrared Fixed Point
• Lattice study of infrared behaviour in SU(3) gauge theory with twelve massless flavours
• Non-perturbative beta function in three-dimensional electrodynamics
• QCD-like technicolor on the lattice
• Twelve fundamental and two sextet fermion flavors
• Color-flavor dependence of the Nambu-Jona-Lasinio model and QCD phase diagram
• Schrödinger functional boundary conditions and improvement for N>3