Bounces/dyons in the plane wave matrix model and su(n) yang-mills theory

authored by

Alexander D. Popov

Abstract

We consider SU(N) Yang-Mills theory on the space ℝ × S ³ with Minkowski signature (-+++). The condition of SO(4)-invariance imposed on gauge fields yields a bosonic matrix model which is a consistent truncation of the plane wave matrix model. For matrices parametrized by a scalar φ, the Yang-Mills equations are reduced to the equation of a particle moving in the double-well potential. The classical solution is a bounce, i.e. a particle which begins at the saddle point φ = 0 of the potential, bounces off the potential wall and returns to φ = 0. The gauge field tensor components parametrized by φ are smooth and for finite time, both electric and magnetic fields are nonvanishing. The energy density of this non-Abelian dyon configuration does not depend on coordinates of ℝ × S ³ and the total energy is proportional to the inverse radius of S³. We also describe similar bounce dyon solutions in SU(N) Yang-Mills theory on the space ℝ × S² with signature (-++). Their energy is proportional to the square of the inverse radius of S². From the viewpoint of Yang-Mills theory on ℝ^1,1 × S² these solutions describe non-Abelian (dyonic) flux tubes extended along the x³-axis.

Organisation(s)

Institute of Theoretical Physics

External Organisation(s)

Joint Institute for Nuclear Research

Type

Article

Journal

Modern Physics Letters A

Volume

24

Pages

349-359

No. of pages

11

ISSN

0217-7323

Publication date

20.02.2009

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics, Astronomy and Astrophysics, Physics and Astronomy(all)

Electronic version(s)

https://doi.org/10.1142/S0217732309030163 (Access: Open)