We study the nature of the phase diagram of three-dimensional lattice models in the presence of non-Abelian gauge symmetries. In particular, we consider a paradigmatic model for the Higgs mechanism, lattice scalar chromodynamics with N_f flavors, characterized by a non-Abelian SU(N_c) gauge symmetry. For N_f≥2 (multiflavor case), it presents two phases separated by a transition line where a gauge-invariant order parameter condenses, being associated with the breaking of the residual global symmetry after gauging. The nature of the phase transition line is discussed within two field-theoretical approaches, the continuum scalar chromodynamics, and the Landau-Ginzburg-Wilson (LGW) Φ^4 approach based on a gauge-invariant order parameter. Their predictions are compared with simulation results for N_f=2, 3 and N_c=2-4. The LGW approach turns out to provide the correct picture of the critical behavior at the transitions between the two phases.

Phase Diagram, Symmetry Breaking, and Critical Behavior of Three-Dimensional Lattice Multiflavor Scalar Chromodynamics / Bonati, Claudio; Pelissetto, Andrea; Vicari, Ettore. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 123:23(2019). [10.1103/PhysRevLett.123.232002]

Phase Diagram, Symmetry Breaking, and Critical Behavior of Three-Dimensional Lattice Multiflavor Scalar Chromodynamics

Pelissetto, Andrea;
2019

Abstract

We study the nature of the phase diagram of three-dimensional lattice models in the presence of non-Abelian gauge symmetries. In particular, we consider a paradigmatic model for the Higgs mechanism, lattice scalar chromodynamics with N_f flavors, characterized by a non-Abelian SU(N_c) gauge symmetry. For N_f≥2 (multiflavor case), it presents two phases separated by a transition line where a gauge-invariant order parameter condenses, being associated with the breaking of the residual global symmetry after gauging. The nature of the phase transition line is discussed within two field-theoretical approaches, the continuum scalar chromodynamics, and the Landau-Ginzburg-Wilson (LGW) Φ^4 approach based on a gauge-invariant order parameter. Their predictions are compared with simulation results for N_f=2, 3 and N_c=2-4. The LGW approach turns out to provide the correct picture of the critical behavior at the transitions between the two phases.
2019
critical behavior; finite-size scaling; quantum field theory
01 Pubblicazione su rivista::01a Articolo in rivista
Phase Diagram, Symmetry Breaking, and Critical Behavior of Three-Dimensional Lattice Multiflavor Scalar Chromodynamics / Bonati, Claudio; Pelissetto, Andrea; Vicari, Ettore. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 123:23(2019). [10.1103/PhysRevLett.123.232002]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1343609
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