Yang-Mills Equation and Bures Metric

Details Yang-Mills Equation and Bures Metric Yang-Mills Equation and Bures Metric

1998-06-05

arxiv.org/abs/quant-ph/9806018v1

Lett.Math.Phys. 46 (1998) 281-287

Physics

Quantum Physics

6 pages, Latex

Scientific paper

It is shown that the connection form (gauge field) related to the
generalization of the Berry phase to mixed states proposed by Uhlmann satisfies
the source-free Yang-Mills equation *D*Dw=0, where the Hodge star is taken with
respect to the Bures metric on the space of finite dimensional nondegenerate
density matrices.

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