Real Interquark Potential Between a Heavy and a Light Quark at All Distances

TL;DR

This paper explores how the interquark potential behaves at all distances when one quark is heavy and the other is light, suggesting potential physical improvements in string models of quarks.

Contribution

It demonstrates that in infinite spacetime dimensions, the singularity in the interquark potential at small distances can be eliminated, implying possible physical benefits in finite dimensions.

Findings

Singularity in potential disappears in infinite dimensions

Unphysical features like tachyons may be absent in finite dimensions

Potential behavior is affected by quark mass and string anchoring

Abstract

We point out that in infinite spacetime dimensions, the singularity in the interquark potential at small distances disappears if the string is anchored at one end to a heavy quark, at the other end to a light quark. This suggests that if quarks are placed at the end of strings some unphysical features such as tachyon states may be absent also in in finite dimensions.