Construction of nondegenerate non-Abelian solutions and Coulomb-type solution for the same charge distribution in SU (2) Yang-Mills theory

Paul, Samir K. ; Khare, Avinash (1986) Construction of nondegenerate non-Abelian solutions and Coulomb-type solution for the same charge distribution in SU (2) Yang-Mills theory Physical Review D - Particles, Fields, Gravitation and Cosmology, 33 (4). pp. 1181-1183. ISSN 1550-7998

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Official URL: http://prd.aps.org/abstract/PRD/v33/i4/p1181_1

Related URL: http://dx.doi.org/10.1103/PhysRevD.33.1181

Abstract

We propose a new cylindrical ansatz for SU(2) Yang-Mills theory which lifts the degeneracy between the two non-Abelian solutions in the presence of a time-independent charge current. We then construct explicit solutions for which we find that (i) Q=Q1 is the point of bifurcation between the two nondegenerate non-Abelian solutions and a Coulomb-type solution, (ii) for Q1< Q<Q2, ENAI<EC<ENAII, (iii) for Q=Q2, ENAI<EC=ENAII, (iv) for Q> Q2, ENAII<ENAII<EC. Here Q is the gauge-invariant charge and E is the total energy. Finally, we show that our ansatz is related to the usual cylindrical ansatz by a nonsingular gauge transformation.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:82086
Deposited On:09 Feb 2012 09:50
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