Spectral action, Weyl anomaly and the Higgs-Dilaton potential

DOI10.1007/JHEP10(2011)001zbMath1303.81197arXiv1106.3263MaRDI QIDQ489684

Fedele Lizzi, Maxim A. Kurkov, Alexander A. Andrianov

Publication date: 20 January 2015

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

Full work available at URL: https://arxiv.org/abs/1106.3263

zbMATH Keywords

non-commutative geometrystandard modelanomalies in field and string theories

Mathematics Subject Classification ID

Unified quantum theories (81V22) Gravitational interaction in quantum theory (81V17) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Anomalies in quantum field theory (81T50) Noncommutative geometry methods in quantum field theory (81T75) Renormalization group methods applied to problems in quantum field theory (81T17) Noncommutative geometry (à la Connes) (58B34)

Related Items (7)

Twisted spectral triple for the standard model and spontaneous breaking of the grand symmetry ⋮ Metric properties of the fuzzy sphere ⋮ Spectral action and gravitational effects at the Planck scale ⋮ Spectral geometry with a cut-off: topological and metric aspects ⋮ High energy bosons do not propagate ⋮ Fermionic spectral action and the origin of nonzero neutrino masses ⋮ Unification of coupling constants, dimension 6 operators and the spectral action

Cites Work

• Early universe models from noncommutative geometry
• Higgs inflation: consistency and generalisations
• The spectral action principle
• Heat kernel expansion: user's manual
• Bosonic spectral action induced from anomaly cancellation
• Gravity and the standard model with neutrino mixing
• Quantum Gravity Boundary Terms from the Spectral Action of Noncommutative Space
• Scale invariance in the spectral action
• Noncommutative differential geometry of matrix algebras
• Path Integrals and Quantum Anomalies
• SAKHAROV'S INDUCED GRAVITY: A MODERN PERSPECTIVE
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