Coleman-Weinberg Mechanism and Interaction of D3-Branes in Type 0 String Theory

TL;DR

This paper explores how one-loop quantum corrections in the world-volume Yang-Mills theory of D3-branes in type 0 string theory induce a Coleman-Weinberg potential, revealing the branes' interaction dynamics and equilibrium configurations.

Contribution

It demonstrates the emergence of a Coleman-Weinberg potential from one-loop corrections and describes the resulting spherical shell equilibrium of D3-branes.

Findings

The potential is repulsive at short distances.

The potential becomes attractive at large distances.

A spherical shell of D3-branes forms at equilibrium.

Abstract

The low-energy theory on the world volume of parallel static D3-branes of type 0 strings is the Yang-Mills theory with six scalar fields in the adjoint representation. One-loop corrections in this theory induce Coleman-Weinberg effective potential, which can be interpreted as an interaction energy of D3-branes. The potential is repulsive at short distances and attractive at large ones. In the equilibrium, a large number of D3-branes forms a spherical shell with the radius proportional to the characteristic energy scale of the world-volume theory.