Non self-dual Yang-Mills fields
Thesis/Dissertation
·
OSTI ID:5193776
The purpose of the thesis is to prove the existence of a new family of non self-dual finite-energy solutions to the Yang-Mills equations on Euclidean four-space, with SU(2) as a gauge group. The approach is that of equivalent geometry: attention is restricted to a special class of fields, those that satisfy a certain kind of rotational symmetry which it is proved that (1) a solution to the Yang-Mills equations exists for among them, and (2) no solution to the self-duality equations exists among them. The first assertion is proved by an application of the direct method of the calculus of variations (existence and regularity of minimizers), and the second assertion by showing that the self-duality equations, linearized at a symmetric self-dual solution, cannot possess the required symmetry.
- Research Organization:
- California Univ., Berkeley, CA (United States)
- OSTI ID:
- 5193776
- Country of Publication:
- United States
- Language:
- English
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