Chiral Anomalies in the Spectral Action

Details Chiral Anomalies in the Spectral Action Chiral Anomalies in the Spectral Action

1998-09-21

arxiv.org/abs/hep-th/9809148v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages. To appear in the book "Quantum Groups and Fundamental Physical Interactions", Editor: D. Kastler, Publisher: Nova Sci

Scientific paper

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.

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