Coleman-Weinberg Mechanism and Interaction of D3-Branes in Type 0 String Theory
K. Zarembo
TL;DR
The paper studies non-supersymmetric type-0 string theory realizations of D3-branes by computing the one-loop Coleman–Weinberg potential on the world-volume, yielding a two-body brane interaction $V(r)=\frac{1}{4\pi^2} r^4 \ln\frac{r^2}{\Lambda^2}$. This interaction drives brane separation, and in the large-$N$ limit the branes form a spherical shell of radius $R=\Lambda e^{-589/840}$ with negative energy shift $\Delta T=-\frac{7N^2\Lambda^4}{48\pi^2} e^{-589/210}$, indicating stable nontrivial equilibrium. The results illuminate non-supersymmetric gauge/string duality at weak coupling and illustrate how quantum corrections lift flat directions in type-0 brane systems, leading to a characteristic scale and geometry for the brane distribution.
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.