1998/09/21 by Ali H. Chamseddine, Chamseddine, Ali H.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9809148
7 pages. To appear in the book "Quantum Groups and Fundamental Physical Interactions", Editor: D. Kastler, Publisher: Nova Science Publishing Company
arxiv created 1998/09/21 · openalex publication_date 1998/09/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The definition of the spectral action involves the trace operator over states in the physical Hilbert space. We show that in the presence of chiral fermions there are consistency conditions on the fermionic representations. These conditions are identical to the conditions for absence of gauge and gravitational anomalies obtained in the path integral formalism.