PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Global symmetry breaking in gauge theories: the case of multiflavor scalar chromodynamics
C. Bonati*, A. Pelissetto and E. Vicari
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Pre-published on: May 16, 2022
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Universal features of continuous phase transitions can be investigated by studying the $\phi^4$ 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.
DOI: https://doi.org/10.22323/1.396.0167
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