Spontaneous Symmetry Breaking in the Brane-World

TL;DR

This paper investigates how extra dimensions in a 6D brane-world model can induce spontaneous symmetry breaking in the effective 4D scalar theory, with calculations showing the impact of higher-dimensional parameters on quantum corrections.

Contribution

It introduces a simplified 6D Randall-Sundrum-like model and demonstrates the role of extra dimensions in spontaneous symmetry breaking through one-loop effective potential analysis.

Findings

Extra-dimensional parameters influence 4D beta-functions.

Spontaneous symmetry breaking can occur due to extra dimensions.

One-loop effective potential confirms symmetry breaking potential.

Abstract

A simplified Randall-Sundrum-like model in 6 dimensions is discussed. The extra two dimensions correspond to the cone. The effective four-dimensional scalar self-interacting theory is studied at one-loop level. The contributions due to 6-dimensional parameters in four-dimensional beta-functions appear. Using such beta-functions the one-loop effective potential is calculated. The possibility of spontaneous symmetry breaking due to extra dimensions is demonstrated.