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

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Cited by in corpus (9)

• Higgs-confinement phase transitions with fundamental representation matter
• Critical behaviors of lattice U(1) gauge models and three-dimensional Abelian-Higgs gauge field theory
• Three-dimensional phase transitions in multiflavor lattice scalar SO(Nc) gauge theories
• Universal low-temperature behavior of two-dimensional lattice scalar chromodynamics
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Asymptotic low-temperature critical behavior of two-dimensional multiflavor lattice SO(Nc) gauge theories
• Two-dimensional lattice SU($N_c$) gauge theories with multiflavor adjoint scalar fields
• Berezinskii-Kosterlitz-Thouless transitions in two-dimensional lattice SO($N_c$) gauge theories with two scalar flavors
• Chiral critical behavior of 3D lattice fermionic models with quartic interactions