Chern-Simons Hadronic Bag from Quenched Large-N QCD

TL;DR

This paper links quenched large-N QCD with string theory by modeling hadronic bags as 3-branes with Chern-Simons boundaries, providing a novel geometric perspective on confinement.

Contribution

It extends the connection between quenched large-N gauge theories and string models by incorporating a Chern-Simons 2-brane boundary to describe hadronic bags.

Findings

Identifies a relation between 4D quenched Yang-Mills theory and open 3-brane models.

Models the hadronic bag interior as the bulk of a 3-brane with a Chern-Simons boundary.

Estimates the bag constant to be slightly less than 200 MeV.

Abstract

SU(N) reduced, quenched, gauge theories have been shown to be related to string theories. We extend this result and show how a 4-dimensional, reduced, quenched, Yang-Mills theory, supplemented by the topological term, can be related through the Wigner-Weyl-Moyal correspondence to an open 3-brane model. The boundary of the 3-brane is described by a Chern-Simons 2-brane. We identify the bulk of the 3-brane with the interior of a hadronic bag and the world-volume of the Chern-Simons 2-brane with the dynamical boundary of the bag. We estimate the value of the induced bag constant to be a little less than 200MeV.