Two-dimensional lattice SU($N_c$) gauge theories with multiflavor adjoint scalar fields

Abstract

We consider two-dimensional lattice SU($N_c$) gauge theories with $N_f$ real scalar fields transforming in the adjoint representation of the gauge group and with a global O($N_f$) invariance. Focusing on systems with $N_f\ge 3$, we study their zero-temperature limit, to understand under which conditions a continuum limit exists, and to investigate the nature of the associated quantum field theory. Extending previous analyses, we address the role that the gauge-group representation and the quartic scalar potential play in determining the nature of the continuum limit (when it exists). Our results further corroborate the conjecture that the continuum limit of two-dimensional lattice gauge models with multiflavor scalar fields, when it exists, is associated with a $\sigma$ model defined on a symmetric space that has the same global symmetry as the lattice model.

24 pages, 8 figures

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• Phase diagram, symmetry breaking, and critical behavior of three-dimensional lattice multiflavor scalar chromodynamics
• Three-dimensional lattice multiflavor scalar chromodynamics: interplay between global and gauge symmetries
• Asymptotic low-temperature behavior of two-dimensional RP${}^{N-1}$ models
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Cited by in corpus (4)

• Critical behaviors of lattice U(1) gauge models and three-dimensional Abelian-Higgs gauge field theory
• Three-dimensional lattice SU($N_c$) gauge theories with multiflavor scalar fields in the adjoint representation
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Color-flavor reflection in the continuum limit of two-dimensional lattice gauge theories with scalar fields