Energy in Yang-Mills on a Riemann Surface

Dana Stanley Fine

doi:10.1063/1.533348

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Energy in Yang-Mills on a Riemann Surface

Dana Stanley Fine

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Abstract

Sengupta's lower bound for the Yang-Mills action on smooth connections on a bundle over a Riemann surface generalizes to the space of connections whose action is finite. In this larger space the inequality can always be saturated. The Yang-Mills critical sets correspond to critical sets of the energy action on a space of paths. This may shed light on Atiyah and Bott's conjecture concerning Morse theory for the space of connections modulo gauge transformations.

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Dana Stanley Fine. 2000-02-10. Energy in Yang-Mills on a Riemann Surface. https://doi.org/10.1063/1.533348

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