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(De)Constructing Dimensions

Nima Arkani-Hamed, Andrew G. Cohen, Howard Georgi

TL;DR

The paper introduces a four-dimensional, renormalizable gauge theory that dynamically generates a fifth dimension via a moose/quiver construction, producing a discretized 5D gauge theory at low energies with a Kaluza-Klein spectrum. The fifth dimension emerges from link fields after confinement, with lattice spacing a and circumference R, and Lorentz invariance is recovered in the a → 0 limit. The framework provides a UV-complete route to higher-dimensional physics without gravity and offers a platform to study SUSY and multi-dimensional extensions in a controlled setting.

Abstract

We construct renormalizable, asymptotically free, four dimensional gauge theories that dynamically generate a fifth dimension.

(De)Constructing Dimensions

TL;DR

The paper introduces a four-dimensional, renormalizable gauge theory that dynamically generates a fifth dimension via a moose/quiver construction, producing a discretized 5D gauge theory at low energies with a Kaluza-Klein spectrum. The fifth dimension emerges from link fields after confinement, with lattice spacing a and circumference R, and Lorentz invariance is recovered in the a → 0 limit. The framework provides a UV-complete route to higher-dimensional physics without gravity and offers a platform to study SUSY and multi-dimensional extensions in a controlled setting.

Abstract

We construct renormalizable, asymptotically free, four dimensional gauge theories that dynamically generate a fifth dimension.

Paper Structure

This paper contains 7 sections, 15 equations, 2 figures.

Table of Contents

  1. Introduction
  2. $SU(n) \times SU(m)$ moose
  3. What is a fifth dimension?
  4. Lorentz invariance
  5. Phase structure
  6. Other completions
  7. Conclusions and speculations

Figures (2)

  • Figure 1: A moose diagram.
  • Figure 2: A condensed moose diagram