Renormalizing Yukawa interactions in the standard model with matrices and noncommutative geometry

DOI10.1088/1751-8121/abd153OpenAlexW3111772070MaRDI QIDQ5876357

Elliott Gesteau

Publication date: 1 February 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.02297

zbMATH Keywords

noncommutative geometrymatrix modelstandard modelYukawa interactionsfunctional renormalization

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (4)

Bootstrapping Dirac ensembles ⋮ Generalized entropy for general subregions in quantum gravity ⋮ One-loop corrections to the spectral action ⋮ From noncommutative geometry to random matrix theory

Uses Software

• REAP

Cites Work

• Noncommutative geometry, quantum fields and motives
• The spectral action principle
• Three-loop SM beta-functions for matrix Yukawa couplings
• Renormalizability conditions for almost-commutative manifolds
• Gravity and the standard model with neutrino mixing
• Functional renormalization group approach for tensorial group field theory: a rank-6 model with closure constraint
• Matrix geometries and fuzzy spaces as finite spectral triples
• Monte Carlo simulations of random non-commutative geometries
• Functional Renormalization and Ultracold Quantum Gases
• Noncommutative Cosmology

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