Berezinskii-Kosterlitz-Thouless transitions in two-dimensional lattice SO($N_c$) gauge theories with two scalar flavors

Abstract

We study the phase diagram and critical behavior of a two-dimensional lattice SO($N_c$) gauge theory ($N_c\ge 3$) with two scalar flavors, obtained by partially gauging a maximally O($2N_c$) symmetric scalar model. The model is invariant under local SO($N_c$) and global O(2) transformations. We show that, for any $N_c\ge 3$, it undergoes finite-temperature Berezinskii-Kosterlitz-Thouless (BKT) transitions, associated with the global Abelian O(2) symmetry. The transition separates a high-temperature disordered phase from a low-temperature spin-wave phase where correlations decay algebraically (quasi-long range order). The critical properties at the finite-temperature BKT transition and in the low-temperature spin-wave phase are determined by means of a finite-size scaling analysis of Monte Carlo data.

arXiv comment7 pages, 9 eps figures

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Cited by in corpus (3)

• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Two-dimensional lattice SU($N_c$) gauge theories with multiflavor adjoint scalar fields
• Color-flavor reflection in the continuum limit of two-dimensional lattice gauge theories with scalar fields