2021/10/11 by Claudio Bonati, Andrea Pelissetto, Bonati, Claudio +3
Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #cond-mat.stat-mech #hep-lat
paper · pdf · doi:10.48550/arxiv.2110.05341
proceeding for The 38th International Symposium on Lattice Field Theory, LATTICE2021, 26th-30th July, 2021, Zoom/Gather@Massachusetts Institute of Technology
arxiv created 2021/10/11 · arxiv updated 2021/10/12
Universal features of continuous phase transitions can be investigated by studying the ϕ4 field theory with the corresponding global symmetry breaking pattern. When gauge symmetries are present, the same technique is usually applied to a gauge-invariant order parameter field, as in the Pisarski-Wilczek analysis of the QCD chiral phase transition. Gauge fields are thus assumed to be irrelevant in the effective critical model, a fact that is however far from trivial. We will investigate the validity of this approach using three-dimensional scalar lattice models with non-abelian global and local symmetries, for which critical exponents and scaling functions can be numerically determined with high accuracy.