Solitons in Non-Abelian Born-Infeld Theory

TL;DR

This paper explores soliton solutions in a Born-Infeld generalization of Yang-Mills theory inspired by superstring theory, revealing new classical solutions including excited monopoles and glueballs.

Contribution

It generalizes previous results to the symmetrized trace model and demonstrates the existence of excited monopoles as non-linear superpositions of monopoles and sphalerons.

Findings

Existence of classical glueball solutions in the symmetrized trace model.

Discovery of excited monopoles in the presence of triplet Higgs.

Extension of known solutions to more realistic Born-Infeld models.

Abstract

Born-Infeld generalization of the Yang-Mills action suggested by the superstring theory gives rise to modification of previously known as well as to some new classical soliton solutions. Earlier it was shown that within the model with the usual trace over the group generators classical glueballs exist which form an infinite sequence similar to the Bartnik-McKinnon family of the Einstein-Yang-Mills solutions. Here we give the generalization of this result to the 'realistic' model with the symmetrized trace and show the existence of excited monopoles (in presence of triplet Higgs) which can be regarded as a non-linear superposition of monopoles and sphalerons.