Baryons and confining strings

TL;DR

This paper calculates the subleading correction to the heavy quark potential in a three-quark string model, revealing a positive term in 2+1 dimensions that affects the potential's concavity, and compares it with lattice gauge theory simulations.

Contribution

It introduces a computation of the subleading term for three-quark potentials in a string model, highlighting its positive value in 2+1 dimensions and implications for potential shape.

Findings

The subleading term is positive in 2+1 dimensions.

The potential becomes non-concave due to this correction.

Results are consistent with lattice gauge theory simulations.

Abstract

The subleading term of the heavy quark potential (the analogue of the Luscher term) is computed in a string model for the case of three quarks. It turns out to be positive in 2+1 dimensions, making the potential non-concave as a function of the scale for fixed geometry. The results are compared to numerical simulations of the lattice gauge theory.