Dbrane boundstate wavefunctions

TL;DR

This paper uses a WKB approximation to analyze D0brane bound state wavefunctions, revealing a confining potential that grows as r^7 at large N, with implications for velocity-dependent interactions.

Contribution

It provides an explicit WKB-based analysis of D0brane wavefunctions and their effective potential at large N, offering new insights into their confinement behavior.

Findings

Wavefunctions behave as exp(- c r^{9/2} N^{-1/2}) at large N

Velocity-dependent interactions lead to a confining potential growing as r^7

Analysis suggests confinement properties of D0brane bound states

Abstract

A simple WKB approximation gives explicit information about D0brane boundstate wavefunctions, suggesting that at large $N$ each individual D0brane has a wavefunction $\exp(- c r^{9/2}N^{-1/2}).$ Thus the velocity dependent interaction energy $v^{4}r^{-7}$ leads to an effective confining potential that grows as $r^{7}.$