Abelian Higgs gauge theories with multicomponent scalar fields and multiparameter scalar potentials
Abstract
We consider multicomponent Abelian Higgs (AH) gauge theories with multiparameter scalar quartic potentials, which are extensions of the SU(N ) -invariant AH theories, with a smaller global symmetry group. In particular, we consider an AH model with a two-parameter scalar potential and SO(N ) global symmetry. We discuss the renormalization-group flow of the SO(N ) -invariant AH field theory and the phase diagram and critical behavior of a corresponding three-dimensional (3D) noncompact lattice AH model. We argue that the phase diagram of 3D noncompact SO(N ) - and SU(N ) -symmetric lattice AH models are qualitatively similar. In both cases, there are three phases: the high-temperature Coulomb phase, and the low-temperature molecular and Higgs phases that differ for the topological properties of the gauge correlations. However, the main features of the low-temperature ordered phases and, in particular, of the Higgs phase, differ significantly in SO(N ) and SU(N ) models. In particular, in SO(N ) models they depend on the sign of the self-interaction parameter v that controls the symmetry breaking from SU(N ) to SO(N ) . As a consequence, the universal features of the transitions related with the spontaneous breaking of the global symmetry (those between the high-temperature Coulomb phase and the low-temperature molecular and Higgs phases) also depend on the sign of v .
- Publication:
-
Physical Review B
- Pub Date:
- December 2023
- DOI:
- 10.1103/PhysRevB.108.245154
- arXiv:
- arXiv:2310.08504
- Bibcode:
- 2023PhRvB.108x5154B
- Keywords:
-
- Condensed Matter - Statistical Mechanics;
- High Energy Physics - Lattice;
- High Energy Physics - Theory
- E-Print:
- 14 pages