Running coupling constant and mass anomalous dimension of six-flavor SU(2) gauge theory

2013/07/31 by M. Hayakawa, K.-I. Ishikawa, K. -I. Ishikawa +3 · 19 citations
Mathematics · Physics and Astronomy · #Combinatorics #Coupling constant #Dimension (graph theory) #Dirac fermion #Electroweak interaction #Fermion #Gauge theory #Lattice (music) #Lattice gauge theory #Massless particle #Mathematical physics #Mathematics #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Symmetry breaking #hep-lat #hep-ph

paper · pdf · doi:10.1103/physrevd.88.094504

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 88(9) (American Physical Society) · 38 pages, 9 figures. v2)Minor corrections, references added. Version to appear in PRD

arxiv created 2013/11/06 · openalex publication_date 2013/11/18 · arxiv updated 2013/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In the exploration of viable models of dynamical electroweak symmetry breaking, it is essential to locate the lower end of the conformal window and know the mass anomalous dimensions there for a variety of gauge theories. We calculate, with the Schr"odinger functional scheme, the running coupling constant and the mass anomalous dimension of SU(2) gauge theory with six massless Dirac fermions in the fundamental representation. The calculations are performed on 6⁴--24⁴ lattices over a wide range of lattice bare couplings to take the continuum limit. The discretization errors for both quantities are removed perturbatively. We find that the running slows down and comes to a stop at 0.06\ensuremath\lesssim1/g²\ensuremath\lesssim0.15 where the mass anomalous dimension is estimated to be 0.26\ensuremath\lesssim\ensuremathγ_m^*\ensuremath\lesssim0.74.

Citations

• Ultraviolet and infrared zeros of gauge theories at the four-loop order and beyond
• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• SParameter and Pseudo Nambu-Goldstone Boson Mass from Lattice QCD
• Nearly conformal gauge theories in finite volume
• Chiral properties of SU(3) sextet fermions
• Non-perturbative quark mass renormalization in two-flavor QCD
• Exploration ofSU(Nc)gauge theory with many Wilson fermions at strong coupling
• A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
• Study of the conformal hyperscaling relation through the Schwinger-Dyson equation
• Properties of the twisted Polyakov loop coupling and the infrared fixed point in the SU(3) gauge theories
• The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
• Investigating the critical properties of beyond-QCD theories using Monte Carlo Renormalization Group matching
• Phase structure of lattice QCD for general number of flavors
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Condensate enhancement andD-meson mixing in technicolor theories
• Parity Doubling and theSParameter below the Conformal Window

Cited by

• Lattice study on quantum-mechanical dynamics of two-color QCD with six light flavors
• Higher-order scheme-independent series expansions of γψ¯ψ,IR and βIR′ in conformal field theories