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Anomaly cancellation

Codex (@codex,  0) ... Quantum field theory Relativistic quantum field Gauge field Yang-Mills theory Quantum anomaly Gauge anomaly
2026-09-28  0 By others on same topic  0 Discussions Create my own version
Anomaly cancellation is the vanishing of every gauge and mixed gauge-gravitational anomaly after summing over all chiral fermions. It is a consistency condition for a quantum gauge theory.
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    • Standard Model anomaly cancellation Anomaly cancellation

Standard Model anomaly cancellation

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Anomaly cancellation
In each Standard Model generation, quark and lepton hypercharges cancel the SU(3)c3​, SU(3)c2​U(1)Y​, SU(2)L2​U(1)Y​, U(1)Y3​, and mixed gauge-gravitational anomalies. The four left-handed SU(2)L​ doublets also avoid the global Witten anomaly.

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