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Article Dans Une Revue European Physical Journal C: Particles and Fields Année : 2020

Spectral action in matrix form

Ali H. Chamseddine
  • Fonction : Auteur
Walter D. van Suijlekom
  • Fonction : Auteur

Résumé

Quantization of the noncommutative geometric spectral action has so far been performed on the final component form of the action where all traces over the Dirac matrices and symmetry algebra are carried out. In this work, in order to preserve the noncommutative geometric structure of the formalism, we derive the quantization rules for propagators and vertices in matrix form. We show that the results in the case of a product of a four-dimensional Euclidean manifold by a finite space, could be cast in the form of that of a Yang–Mills theory. We illustrate the procedure for the toy electroweak model.

Dates et versions

hal-02953134 , version 1 (29-09-2020)

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Citer

Ali H. Chamseddine, John Iliopoulos, Walter D. van Suijlekom. Spectral action in matrix form. European Physical Journal C: Particles and Fields, 2020, 80 (11), pp.1045. ⟨10.1140/epjc/s10052-020-08618-z⟩. ⟨hal-02953134⟩
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