Details
| Original language | English |
|---|---|
| Pages (from-to) | 349-359 |
| Number of pages | 11 |
| Journal | Modern Physics Letters A |
| Volume | 24 |
| Issue number | 5 |
| Publication status | Published - 20 Feb 2009 |
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 ℝ1,1 × S2 these solutions describe non-Abelian (dyonic) flux tubes extended along the x3-axis.
Keywords
- Dyons, Matrix models, Yang-Mills theory
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Astronomy and Astrophysics
- Physics and Astronomy(all)
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In: Modern Physics Letters A, Vol. 24, No. 5, 20.02.2009, p. 349-359.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Bounces/dyons in the plane wave matrix model and su(n) yang-mills theory
AU - Popov, Alexander D.
PY - 2009/2/20
Y1 - 2009/2/20
N2 - 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 ℝ1,1 × S2 these solutions describe non-Abelian (dyonic) flux tubes extended along the x3-axis.
AB - 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 ℝ1,1 × S2 these solutions describe non-Abelian (dyonic) flux tubes extended along the x3-axis.
KW - Dyons
KW - Matrix models
KW - Yang-Mills theory
UR - http://www.scopus.com/inward/record.url?scp=65249091884&partnerID=8YFLogxK
U2 - 10.1142/S0217732309030163
DO - 10.1142/S0217732309030163
M3 - Article
AN - SCOPUS:65249091884
VL - 24
SP - 349
EP - 359
JO - Modern Physics Letters A
JF - Modern Physics Letters A
SN - 0217-7323
IS - 5
ER -