Fluctuations of the baryonic flux-tube junction from effective string theory

TL;DR

This paper investigates the fluctuations of the baryonic flux-tube junction in quenched QCD using an effective string model, revealing a logarithmic growth of junction width with interquark distance.

Contribution

It introduces a theoretical analysis of junction fluctuations in baryonic systems based on an effective bosonic string model, extending understanding of flux tube behavior.

Findings

Junction width grows logarithmically with interquark distance.

The growth coefficient depends on the number of strings, spacetime dimension, and string tension.

Flux tube fluctuations follow predictions of the effective string theory.

Abstract

In quenched QCD, where the dynamic creation of quark-antiquark pairs out of the vacuum is neglected, a confined baryonic system composed of three static quarks exhibits string-like behaviour at large interquark separation, with the formation of flux tubes characterized by the geometry of the so-called Y ansatz. We study the fluctuations of the junction of the three flux tubes, assuming the dynamics to be governed by an effective bosonic string model. We show that the asymptotic behaviour of the effective width of the junction grows logarithmically with the distance between the sources, with the coefficient depending on the number of joining strings, on the dimension of spacetime and on the string tension.