A Yang–Mills Inequality for Compact Surfaces
1998 ◽
Vol 01
(01)
◽
pp. 1-16
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Keyword(s):
We consider the Yang–Mills action functional S YM on the infinite-dimensional space of connections on a bundle over a compact surface. We find a lower bound for S YM (ω) in terms of holonomies of the connection ω, the topology of the surface, and the topology of the bundle. An intermediate 'energy inequality' becomes an equality if and only if the connection is a critical point of the Yang–Mills action. Yang–Mills minima can also be understood using these inequalities.
2019 ◽
Vol 53
(1)
◽
pp. 61-64
Keyword(s):
Keyword(s):
2003 ◽
Vol 19
(1)
◽
pp. 59-81
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1955 ◽
Vol s3-5
(2)
◽
pp. 238-256
1994 ◽
Vol 10
(4)
◽
pp. 295-295
1992 ◽
Vol 34
(2)
◽
pp. 186-187