×

Removable singularities in coupled Yang-Mills-Dirac fields. (English) Zbl 0625.35031

Yang-Mills fields possess an internal symmetry (gauge symmetry); therefore a singular solution could be made smooth via a gauge transformation. This article gives conditions for removing singularities of solutions of Yang-Mills-Dirac equations over an Euclidean base manifold.
Reviewer: E.Malec

MSC:

35J60 Nonlinear elliptic equations
35B65 Smoothness and regularity of solutions to PDEs
81T08 Constructive quantum field theory
35Q99 Partial differential equations of mathematical physics and other areas of application
Full Text: DOI

References:

[1] Freed D. s., Instantons and Four-Manifolds (1984) · Zbl 0559.57001 · doi:10.1007/978-1-4684-0258-2
[2] Hildebrandt S., S. S. Chern and Wu Wen-tsün, eds., Proceedings of the 1980 Beijing Symposium on Differential Geometry and Differential Equations 1 pp 481–
[3] DOI: 10.1016/0001-8708(74)90021-8 · Zbl 0284.58016 · doi:10.1016/0001-8708(74)90021-8
[4] Jaffe A., Vortices and Monopoles (1980) · Zbl 0457.53034
[5] Morrey C. B., Multiple Integrals in the Calculus of Variations (1966) · Zbl 0142.38701
[6] T.H Otway and L.m Sibner Points singularities of Coupled gauge fields with low energy ,Comm math Phys To appear.
[7] DOI: 10.1007/BF01403505 · Zbl 0502.53022 · doi:10.1007/BF01403505
[8] DOI: 10.1007/BF01215042 · Zbl 0513.53007 · doi:10.1007/BF01215042
[9] Sibner L. M., Commun. Math. Phys., to appear. (1966)
[10] \(misc:Removable singularities of Yang-Mills fields\)
[11] DOI: 10.1007/BF01947068 · Zbl 0491.58032 · doi:10.1007/BF01947068
[12] DOI: 10.1007/BF01947068 · Zbl 0491.58032 · doi:10.1007/BF01947068
[13] DOI: 10.1007/BF01947069 · Zbl 0499.58019 · doi:10.1007/BF01947069
[14] DOI: 10.1007/BF01210739 · Zbl 0586.53018 · doi:10.1007/BF01210739
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.