Phase structure of the 5D abelian Higgs model with anisotropic couplings

Abstract

We establish the phase diagram of the five-dimensional anisotropic Abelian Higgs model by mean field techniques and Monte Carlo simulations. The anisotropy is encoded in the gauge couplings as well as in the Higgs couplings. In addition to the usual bulk phases (confining, Coulomb and Higgs) we find four-dimensional "layered" phases (3-branes) at weak gauge coupling, where the layers may be in either the Coulomb or the Higgs phase, while the transverse directions are confining. *

Branes in the 5D Abelian Higgs Model

“…We fix β h ′ = 0.001 and β R , β g and vary β h and β g ′ . For β g = 4 (weak 4d gauge coupling) [5] we find the following "snapshot" cf. fig.…”

“…In the past year we have studied what happens, when scalar fields are included [5,6]. We have found that an additional "layered" phase appears.…”

Finite temperature and confinement along the extra dimensions studied on a five-dimensional U(1) lattice gauge model

“…Second, we move along the line ¼ 1:10, in order to study the layer-Coulomb phase transition at finite temperature. 8 As we will explain in Sec. IV B and using the Figs.…”

Multi-layer structure in the strongly coupled 5D abelian Higgs model

“…We start with the action (1). We fix the gauge by imposing U4(x) = I and use the translation-invariant Ansatz [1,2,7], Uμ(x) = v, 1 ≤ µ ≤ 3; U5(x) = v . We also introduce the variables for the Higgs field,…”

“…This work is a second, more comprehensive, view of the possibility of taking a layered phase of a higher dimensional U(1)-Higgs model which originated in [7]. Since the couplings in the five-dimensional theory have dimensions the theory needs cut-off and it should be defined in a strongly coupled phase.…”