Abstract

We study the stabilization of an extra-dimensional radius in the presence of a Wilson line phase of an extra $U(1)$ gauge symmetry on a five-dimensional space-time, using the effective potential relating both the radion and the Wilson line phase at the one-loop level. We find that the radion can be stabilized by the introduction of a small number of fermions.

Highlights

  • Recent observation of dark energy in our universe has led to the conviction that the cosmological constant Λ has an infinitesimal positive value

  • It has been proposed that the strong infrared (IR) divergence property of quantum corrections on dS space may explain the smallness of Λ in our current universe

  • The Einstein equation describes the relation between the space-time Ricci tensor Rμν and the energy momentum (EM) tensor Tμν due to the presence of matter

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Summary

Introduction

Recent observation of dark energy in our universe has led to the conviction that the cosmological constant Λ has an infinitesimal positive value. Sitter (dS) space with the Hubble constant H being Λ. It has been proposed that the strong infrared (IR) divergence property of quantum corrections on dS space may explain the smallness of Λ in our current universe (so called cosmological constant problem). The Einstein equation describes the relation between the space-time Ricci tensor Rμν and the energy momentum (EM) tensor Tμν due to the presence of matter.

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