Abstract
We characterize Yang--Mills connections in vector bundles in terms of covariant derivatives of stochastic parallel transport along variations of Brownian bridges on the base manifold. In particular, we prove that a connection in a vector bundle
Citation
Marc Arnaudon. Anton Thalmaier. "Yang--Mills fields and random holonomy along Brownian bridges." Ann. Probab. 31 (2) 769 - 790, April 2003. https://doi.org/10.1214/aop/1048516535
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