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HEAT FLOW FOR YANG-MILLS-HIGGS FIELDS, PART I HEAT FLOW FOR YANG-MILLS-HIGGS FIELDS, PART I |
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| Authors: | Centre for Mathematics its Applications School of Mathematical Sciences The Australian National University Canberra ACT Australia.) |
| Affiliation: | Centre for Mathematics and its Applications,School of Mathematical Sciences,The Australian National University,Canberra,ACT 0200,Australia.) |
| Abstract: | The Yang-Mills-Higgs field generalizes the Yang-Mills field. The authors establish the local existence and uniqueness of the weak solution to the heat flow for the Yang-Mills-Higgs field in a vector bundle over a compact Riemannian 4-manifold, and show that the weak solution is gauge-equivalent to a smooth solution and there are at most finite singularities at the maximum existing time. |
| Keywords: | Vector bundle Yang-Mills-Higgs field Heat flow Singularity |
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