# Effective Potential for Revolving D-branes

## TL;DR

This paper quantizes an open string between revolving D0-branes, deriving the one-loop effective potential and comparing it with the case of constant velocity, revealing insights into their interaction dynamics.

## Contribution

It introduces a perturbative quantization method for revolving D-branes and computes the one-loop effective potential in a rotating frame, a novel approach in D-brane interaction studies.

## Key findings

- Derived the one-loop partition function for revolving D0-branes.
- Compared the potential with that of constant velocity D-branes.
- Provided insights into short-distance D-brane interactions.

## Abstract

We quantize an open string stretched between D0-branes revolving around each other. The worldsheet theory is analyzed in a rotating coordinate system in which the worldsheet fields obey simple boundary conditions, but instead the worldsheet Lagrangian becomes nonlinear. We quantize the system perturbatively with respect to the velocity of the D-branes and determine the one-loop partition function of the open string, from which we extract the short-distance behavior of the effective potential for the revolving D0-branes. It is compared with the calculation of the partition function of open strings between D0-branes moving at a constant relative velocity.