Spectral action beyond the weak-field approximation

DOI10.1007/s00220-012-1587-8zbMath1263.81257arXiv1108.3749OpenAlexW1969936611MaRDI QIDQ694972

Dmitri V. Vassilevich, Bruno Iochum, Cyril Levy

Publication date: 20 December 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3749

zbMATH Keywords

spectral actionEinstein-Hilbert actioncommutative spectral triplegauge perturbationYang-Mills-Higgs action

Mathematics Subject Classification ID

Gravitational interaction in quantum theory (81V17) Noncommutative geometry methods in quantum field theory (81T75)

Related Items (11)

Spectral functions of subordinate Brownian motion on closed manifolds: ⋮ Reflection positivity in higher derivative scalar theories ⋮ Renormalization of the asymptotically expanded Yang-Mills spectral action ⋮ A reconstruction theorem for almost-commutative spectral triples ⋮ Renormalizability conditions for almost-commutative manifolds ⋮ High energy bosons do not propagate ⋮ Diagram technique for the heat kernel of the covariant Laplace operator ⋮ Unification of coupling constants, dimension 6 operators and the spectral action ⋮ Spectral Noncommutative Geometry Standard Model and all that ⋮ One-loop corrections to the spectral action ⋮ Asymptotic and exact expansions of heat traces

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