Anomalies in quantum field theories
Abstract
Introduction:purpose: Noether’s theorem connects symmetry of the Lagrangian to conserved quantities. Quantum effects cancel the conserved quantities.
Methods: Triangle diagram, Path integral, Pauli-Villars regularisation.
Results: Quantum effects that spoil conserved quantities of local gauge symmetries endager renormalisability.
Conclusion: A careful treatment of anomalies is needed in order to obtain correct results. The π0 → γγ decay is perhaps the most notable “impossible” effect allowed by anomalies.
References
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