Anomaly-free sets of fermions

Journal Article · Tue Aug 15 00:00:00 EDT 2006 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2222081· OSTI ID:20860760

Batra, Puneet; Dobrescu, Bogdan A; Spivak, David ^[1]

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1. High Energy Physics Division, Argonne National Lab, Argonne, Illinois 60439 (United States)

We present new techniques for finding anomaly-free sets of fermions. Although the anomaly cancellation conditions typically include cubic equations with integer variables that cannot be solved in general, we prove by construction that any chiral set of fermions can be embedded in a larger set of fermions which is chiral and anomaly-free. Applying these techniques to extensions of the standard model, we find anomaly-free models that have arbitrary quark and lepton charges under an additional U(1) gauge group.

• OSTI ID: 20860760
• Journal Information: Journal of Mathematical Physics, Vol. 47, Issue 8; Other Information: DOI: 10.1063/1.2222081; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
CHIRALITY
EQUATIONS
GAUGE INVARIANCE
LEPTONS
QUARKS
STANDARD MODEL
U-1 GROUPS
UNITARY SYMMETRY