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

verfasst von

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.

Organisationseinheit(en)

Institut für Theoretische Physik

Externe Organisation(en)

Joint Institute for Nuclear Research (JINR)

Typ

Artikel

Journal

Modern Physics Letters A

Band

24

Seiten

349-359

Anzahl der Seiten

11

ISSN

0217-7323

Publikationsdatum

20.02.2009

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Kern- und Hochenergiephysik, Astronomie und Astrophysik, Physik und Astronomie (insg.)

Elektronische Version(en)

https://doi.org/10.1142/S0217732309030163 (Zugang: Offen)