Number of Fermion Generations Derived from Anomaly Cancellation

Preprint

1 February 2001

preprint
Published by arXiv in arXiv

Abstract

We prove that global anomaly cancellation requires more than one generation of quarks and leptons, provided that the standard model fields propagate in two universal extra dimensions. Furthermore, if the fermions of different generations have the same gauge charges and chiralities, then global anomaly cancellation implies that there must be three generations.

Keywords

ANOMALY CANCELLATION
GENERATIONS DERIVED
FERMION GENERATIONS
GLOBAL ANOMALY
STANDARD MODEL
TWO UNIVERSAL
CANCELLATION
CHIRALITIES
FERMIONS

All Related Versions

Version 1, 2001-02-01, ArXiv
Version 2, 2001-06-07, ArXiv
Published version: Physical Review Letters, 87 (3), 031801.

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