Gonihedric String and Asymptotic Freedom

TL;DR

This paper explores a string theory model where quantum surface fluctuations lead to both asymptotic freedom and confinement, providing a novel perspective on quark interactions.

Contribution

It introduces a string-theoretic approach that extends Feynman path integrals to surfaces, explaining how asymptotic freedom and confinement coexist.

Findings

Loop Green functions exhibit perimeter behavior.

Quantum surface fluctuations generate the area law.

Asymptotic freedom and confinement coexist in this model.

Abstract

Few natural basic principles allow to extend Feynman integral over the paths to an integral over the surfaces so, that they coincide at long time scale, that is when the surface degenerates into a single particle world line. In the first approximation the loop Green functions have perimeter behavior. That corresponds to the case when free quarks interact through one gluon exchange. Quantum fluctuations of the surface generate the area low. Thus in this string theory asymptotic freedom and confinement can coexist.