Layered Higgs Phase as a Possible Field Localisation on a Brane

Abstract

So far it has been found by using lattice techniques that in the anisotropic five--dimensional Abelian Higgs model, a layered Higgs phase exists in addition to the expected five--dimensional one. The exploration of the phase diagram has shown that the two Higgs phases are separated by a phase transition from the confining phase. This transition is known to be first order. In this paper we explore the possibility of finding a second order transition point in the critical line which separates the first order phase transition from the crossover region. This is shown to be the case only for the four--dimensional Higgs layered phase whilst the phase transition to the five--dimensional broken phase remains first order. The layered phase serves as the possible realisation of four--dimensional spacetime dynamics which is embedded in a five--dimensional spacetime. These results are due to gauge and scalar field localisation by confining interactions along the extra fifth direction.

1+15 pages, 12 figures

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Cited by in corpus (10)

• Second Randall-Sundrum brane world scenario with a nonminimally coupled bulk scalar field
• Graviton localization and Newton's law for brane models with a non-minimally coupled bulk scalar field
• Gravity-induced instability and gauge field localization
• Gauss-Bonnet gravity, brane world models, and non-minimal coupling
• The 4-D Layer Phase as a Gauge Field Localization: Extensive Study of the 5-D Anisotropic U(1) Gauge Model on the Lattice
• Exploration of the phase diagram of 5D anisotropic SU(2) gauge theory
• Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point
• Establishment of the Coulomb law in the layer phase of a pure U(1) lattice gauge theory
• Gauge Field Localization in the Linear Dilaton Background
• Finite temperature and confinement along the extra dimensions studied on a five-dimensional U(1) lattice gauge model