ASYMPTOTIC SAFETY, HYPERGEOMETRIC FUNCTIONS, AND THE HIGGS MASS IN SPECTRAL ACTION MODELS

DOI10.1142/S0219887813500369zbMath1273.83119arXiv1208.5023OpenAlexW3103562983MaRDI QIDQ2843349

Christopher Estrada, Matilde Marcolli

Publication date: 22 August 2013

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.5023

zbMATH Keywords

noncommutative geometryhypergeometric functionsHiggs massgravitational correction termHiggs self-coupling

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Methods of noncommutative geometry in general relativity (83C65) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (2)

Spectral action and gravitational effects at the Planck scale ⋮ The nonperturbative functional renormalization group and its applications

Cites Work

• Early universe models from noncommutative geometry
• Supersymmetric QCD and noncommutative geometry
• The spectral action and cosmic topology
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• Gravity coupled with matter and the foundation of non-commutative geometry
• The uncanny precision of the spectral action
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• Relativity, noncommutative geometry, renormalization and particle physics
• The spectral action principle
• Gravity and the standard model with neutrino mixing
• Moduli Spaces of Dirac Operators for Finite Spectral Triples
• BUILDING COSMOLOGICAL MODELS VIA NONCOMMUTATIVE GEOMETRY
• Criterion for polynomial solutions to a class of linear differential equations of second order
• The noncommutative constraints on the standard model à la Connes
• The running gravitational couplings

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