2014/01/31 by Maarten Golterman, Yigal Shamir · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Chiral symmetry breaking #Explicit symmetry breaking #Fermion #Gauge theory #Geometry #Global symmetry #Higgs boson #Lattice (music) #Lattice QCD #Lattice field theory #Lattice gauge theory #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Spontaneous symmetry breaking #Symmetry breaking #Symmetry group #Theoretical physics #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.89.054501
published as Phys. Rev. D 89, 054501 (2014) · Revtex, 18 pages. This replacement corrects a few minor errors in the published version
openalex publication_date 2014/03/03 · arxiv created 2015/05/13 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Confinement in asymptotically free gauge theories is accompanied by the spontaneous breaking of the global flavor symmetry. If a subgroup of the flavor symmetry group is coupled weakly to additional gauge fields, the vacuum state tends to align such that the gauged subgroup is unbroken. Independently, a lattice discretization of the continuum theory typically reduces the manifest flavor symmetry, and, in addition, can give rise to new lattice-artifact phases with spontaneously broken symmetries. Here, we study the interplay of these two phenomena for Wilson fermions, using chiral Lagrangian techniques. We consider two examples: electromagnetic corrections to QCD, and a prototype composite Higgs model.