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Generalized path dependent representations for gauge theories
2007
Journal of Mathematical Physics
A set of differential operators acting by continuous deformations on path dependent functionals of open and closed curves is introduced. Geometrically, these path operators are interpreted as infinitesimal generators of curves in the base manifold of the gauge theory. They furnish a representation with the action of the group of loops having a fundamental role. We show that the path derivative, which is covariant by construction, satisfies the Ricci and Bianchi identities. Also, we provide a
doi:10.1063/1.2716991
fatcat:piu2zhklhjgv7gbbprr25xgmbi