A simple proof of removable singularities for coupled fermion fields. (English) Zbl 1131.58011
Summary: This paper presents a simple proof of a removable singularity theorem for coupled fermion fields on compact four-dimensional manifolds. New methods are employed and the hypotheses here are weak. [See also W. Li, J. Math. Phys. 47, No. 10 (2006; Zbl 1112.58011)].
MSC:
| 58E15 | Variational problems concerning extremal problems in several variables; Yang-Mills functionals |
Citations:
Zbl 1112.58011References:
| [1] | Chen Q., Jost J., Li J.Y., Wang G.F. (2005). Regularity theorems and energy identities for Dirac-harmonic maps. Math. Z. 251: 61–84 · Zbl 1091.53042 · doi:10.1007/s00209-005-0788-7 |
| [2] | Chen Q., Jost J., Li J.Y., Wang G.F. (2006). Dirac-harmonic maps. Math. Z. 254: 409–432 · Zbl 1103.53033 · doi:10.1007/s00209-006-0961-7 |
| [3] | Donaldson S., Kronheimer P. (1990). The geometry of four-manifolds. Oxford University Press, New York · Zbl 0820.57002 |
| [4] | Freed D., Uhlenbeck K. (1991). Instantons and four-manifolds, 2nd edn. Springer, New York · Zbl 0559.57001 |
| [5] | Groisser D., Parker T. (1997). Sharp decay estimates for Yang-Mills fields. Comm. Anal. Geom. 5: 439–474 · Zbl 0896.58016 |
| [6] | Li W. (2006). Removable singularities for solutions of coupled Yang-Mills-Dirac equations. J. Math. Phys. 47: 103502 · Zbl 1112.58011 · doi:10.1063/1.2354330 |
| [7] | Morrey C. (1966). Multiple integrals in the calculus of variations. Springer, New York · Zbl 0142.38701 |
| [8] | Parker T. (1982). Gauge theories on four dimensional Riemannian manifolds. Comm. Math. Phys. 85: 563–602 · Zbl 0502.53022 · doi:10.1007/BF01403505 |
| [9] | Uhlenbeck K. (1982). Removable singularities in Yang-Mills fields. Comm. Math. Phys. 83: 11–29 · Zbl 0491.58032 · doi:10.1007/BF01947068 |
| [10] | Uhlenbeck K. (1982). Connections with L p bounds on curvature. Comm. Math. Phys. 83: 31–42 · Zbl 0499.58019 · doi:10.1007/BF01947069 |
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.
