Anomalies, Chern-Simons terms and chiral delocalization in extra dimensions
- Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)
Gauge invariant topological interactions, such as the D=5 Chern-Simons (CS) term, are required in models in extra dimensions that split anomaly free representations. The Chern-Simons term is necessary to maintain the overall anomaly cancellations of the theory, but it can have significant, observable, physical effects. The CS term locks the Kaluza-Klein (KK)-mode parity to the parity of space-time, leaving a single parity symmetry. It leads to new processes among KK modes e.g., the decay of a KK mode to a 2-body final state of KK modes. A formalism for the effective interaction among KK modes is constructed, and the decay of a KK mode to KK mode plus zero mode is analyzed as an example. We elaborate the general KK-mode current and anomaly structure of these theories. This includes a detailed study of the triangle diagrams and the associated 'consistent anomalies' for Weyl spinors on the boundary branes. We also develop the non-Abelian formalism. We illustrate this by showing in a simple way how a D=5 Yang-Mills 'quark flavor' symmetry leads to the D=4 chiral Lagrangian of mesons and the quantized Wess-Zumino-Witten term.
- OSTI ID:
- 20782927
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 73, Issue 8; Other Information: DOI: 10.1103/PhysRevD.73.085001; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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