The Image of Self Intersecting QCD Strings in Four Dimensions

TL;DR

This paper investigates self-intersecting QCD strings in four dimensions, revealing topological features like torus knots that support monopole interactions, quark production, and chiral symmetry breaking, with numerical animations provided.

Contribution

It introduces a numerical analysis of self-intersecting QCD strings, linking knot topology to physical phenomena like monopoles and chiral symmetry breaking, and provides computational tools for visualization.

Findings

Open torus knots support monopole/anti-monopole interactions

Intersection number for torus-knots is 4(p-q)

Self-intersections may induce chiral symmetry breaking

Abstract

We numerically examine the self-dual solutions of self-intersecting strings immersed in four dimensions. We find that open torus knots have topologies that can support monopole/anti-monopole as well as q-qbar production and annihilation. We give an estimate of the string tension from quark production rates, show that the intersection number for torus-knots is 4(p-q), and discuss a chiral symmetry breaking mechanism due to self-intersections. We supply a MAPLE program that can annimate the torus-knot solutions. These annimations can be found at http://www-hep.physics.uiowa.edu/~bacus/research.html under the ``Animation Control Panel''.