28 citations · 33 across the 3 of their papers we have counts for
5 papers
Combinatorics of renormalization as matrix calculus
K. Ebrahimi-Fard, J. M. Gracia-Bondia, L. Guo +1
We give a simple presentation of the combinatorics of renormalization in perturbative quantum field theory in terms of triangular matrices. The prescription, that may be of calcula…
Dixmier traces on noncompact isospectral deformations
Victor Gayral, Bruno Iochum, Joseph C. Varilly
We extend the isospectral deformations of Connes, Landi and Dubois-Violette to the case of Riemannian spin manifolds carrying a proper action of the noncompact abelian group .…
The interface of noncommutative geometry and physics
Joseph C. Varilly
The progress of noncommutative geometry has been crucially influenced, from the beginning, by quantum physics: we review this development in recent years. The Standard Model, with…
Hopf algebras in noncommutative geometry
Joseph C. Varilly
We give an introductory survey to the use of Hopf algebras in several problems of noncommutative geometry. The main example, the Hopf algebra of rooted trees, is a graded, connecte…
Noncommutative geometry and quantization
Joseph C. Varilly
We examine some recent developments in noncommutative geometry, including spin geometries on noncommutative tori and their quantization by the Shale-Stinespring procedure, as well…