Two-dimensional multicomponent Abelian-Higgs lattice models

Abstract

We study the two-dimensional lattice multicomponent Abelian-Higgs model, which is a lattice compact U(1) gauge theory coupled with an N-component complex scalar field, characterized by a global SU(N) symmetry. In agreement with the Mermin-Wagner theorem, the model has only a disordered phase at finite temperature and a critical behavior is only observed in the zero-temperature limit. The universal features are investigated by numerical analyses of the finite-size scaling behavior in the zero-temperature limit. The results show that the renormalization-group flow of the 2D lattice N-component Abelian-Higgs model is asymptotically controlled by the infinite gauge-coupling fixed point, associated with the universality class of the 2D CP(N-1) field theory.

9 pages

References in corpus (10)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• A superconductor to superfluid phase transition in liquid metallic hydrogen
• Monopoles in CP(N-1) model via the state-operator correspondence
• The puzzle of apparent linear lattice artifacts in the 2d non-linear sigma-model and Symanzik's solution
• Fighting topological freezing in the two-dimensional CP${}^{N-1}$ model
• Phase diagram, symmetry breaking, and critical behavior of three-dimensional lattice multiflavor scalar chromodynamics
• Critical properties of the N-color London model
• Three-dimensional lattice multiflavor scalar chromodynamics: interplay between global and gauge symmetries
• Effective field theory for Sp(N) antiferromagnets and its phase structure

Cited by in corpus (1)

• Asymptotic low-temperature critical behavior of two-dimensional multiflavor lattice SO(Nc) gauge theories