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.
Cite
@article{arxiv.1912.01315,
title = {Two-dimensional multicomponent Abelian-Higgs lattice models},
author = {Claudio Bonati and Andrea Pelissetto and Ettore Vicari},
journal= {arXiv preprint arXiv:1912.01315},
year = {2020}
}
Comments
9 pages