Renormalization of the spectral action for the Yang-Mills system

DOI10.1007/JHEP03(2011)146zbMath1301.81273arXiv1101.4804WikidataQ59266518 ScholiaQ59266518MaRDI QIDQ475853

Walter D. van Suijlekom

Publication date: 27 November 2014

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.4804

zbMATH Keywords

non-commutative geometryrenormalization regularization and renormalons

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Noncommutative geometry methods in quantum field theory (81T75)

Related Items

Rationality of spectral action for Robertson-Walker metrics, Renormalization of the asymptotically expanded Yang-Mills spectral action, Renormalizability conditions for almost-commutative manifolds, Coupling of gravity to matter, spectral action and cosmic topology, One-loop corrections to the spectral action

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The spectral action and cosmic topology
• B.R.S. algebras. Analysis of the consistency equations in gauge theory
• Calculation of BRS cohomology with spectral sequences
• The spectral action principle
• On summability of distributions and spectral geometry
• One-loop effective action for an arbitrary theory
• Perturbations and operator trace functions
• Gravity and the standard model with neutrino mixing
• An introduction to noncommutative geometry
• Noncommutative geometry as a framework for unification of all fundamental interactions including gravity. Part I.
• Universal Formula for Noncommutative Geometry Actions: Unification of Gravity and the Standard Model
• COVARIANT TECHNIQUES FOR COMPUTATION OF THE HEAT KERNEL