Gauge Fields Emerging From Extra Dimensions a Born-Oppenheimer approach

TL;DR

This paper introduces a mechanism where gauge fields in four-dimensional space-time emerge dynamically from higher-dimensional scalar or spinor fields using a Born-Oppenheimer approach, with potential applications in condensed matter and high-temperature field theory.

Contribution

It presents a novel dynamical mechanism for gauge field emergence from higher dimensions employing a Born-Oppenheimer treatment, extending previous unpublished work.

Findings

Demonstrates gauge fields can arise from higher-dimensional fields.

Applies the mechanism to condensed matter and high-temperature theories.

Provides a theoretical framework for dimensional reduction and gauge emergence.

Abstract

We propose a dynamical mechanism to induce gauge fields in four dimensional space-time from a single scalar field or a spinor field in higher dimensions. The Born-Oppenheimer treatment of the extra dimensions is an essential ingredient in our approach. A possible applications of the idea to low dimensional condensed matter systems and high temperature field theory are also pointed out. This paper is an extended version of our previous unpublished work (SUNY-NTG-89-48, Jan. 1990).