2010/06/30 by Thomas DeGrand, Yigal Shamir, Benjamin Svetitsky · 4 citations
Mathematics · Physics and Astronomy · #Atomic and Subatomic Physics Research #Combinatorics #Coupling (piping) #Coupling constant #Dimension (graph theory) #Fermion #Fixed point #Gauge theory #Infrared fixed point #Lattice (music) #Lattice field theory #Lattice gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization group #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevd.82.054503
published as Phys.Rev.D82:054503,2010 · 17 pages, 16 figures. Substantial modifications to explain why the fat-link result for the beta function supersedes our thin-link result; also updated the phase diagram to reflect additional numerical work. Added references. Final version
arxiv created 2010/09/16 · openalex publication_date 2010/09/21 · arxiv updated 2014/11/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We have measured the running coupling constant of SU(3) gauge theory coupled to Nf=2 flavors of symmetric representation fermions, using the Schr"odinger functional scheme. Our lattice action is defined with hypercubic smeared links which, along with the larger lattice sizes, bring us closer to the continuum limit than in our previous study. We observe that the coupling runs more slowly than predicted by asymptotic freedom, but we are unable to observe fixed point behavior before encountering a first order transition to a strong coupling phase. This indicates that the infrared fixed point found with the thin-link action is a lattice artifact. The slow running of the gauge coupling permits an accurate determination of the mass anomalous dimension for this theory, which we observe to be small, \ensuremathγm\ensuremath\lesssim0.6, over the range of couplings we can reach. We also study the bulk and finite-temperature phase transitions in the strong coupling region.