Yang-Mills Equation and Bures Metric
Quantum Physics
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/9806018,
title = {Yang-Mills Equation and Bures Metric},
author = {J. Dittmann},
journal= {arXiv preprint arXiv:quant-ph/9806018},
year = {2007}
}
Comments
6 pages, Latex