Anomalies, Chern-Simons terms and chiral delocalization in extra dimensions

doi:https://doi.org/10.1103/PHYSREVD.73.085001

Title: Anomalies, Chern-Simons terms and chiral delocalization in extra dimensions

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Abstract

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.

Authors:

Hill, Christopher T ^[1]

Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)

Publication Date:: 2006-04-15

OSTI Identifier:: 20782927

Resource Type:: Journal Article

Journal Name:: Physical Review. D, Particles Fields

Additional Journal Information:: Journal Volume: 73; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.73.085001; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BASIC INTERACTIONS; CHIRAL SYMMETRY; CHIRALITY; CURRENTS; DECAY; FEYNMAN DIAGRAM; FLAVOR MODEL; GAUGE INVARIANCE; KALUZA-KLEIN THEORY; LAGRANGIAN FIELD THEORY; LAGRANGIAN FUNCTION; MEMBRANES; MESONS; PARITY; QUARKS; SPACE-TIME; SPINORS; TOPOLOGY; YANG-MILLS THEORY

Citation Formats


                    Hill, Christopher T. Anomalies, Chern-Simons terms and chiral delocalization in extra dimensions.  United States: N. p., 2006. 
        Web.  doi:10.1103/PHYSREVD.73.085001.

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                    Hill, Christopher T. Anomalies, Chern-Simons terms and chiral delocalization in extra dimensions.  United States.  https://doi.org/10.1103/PHYSREVD.73.085001

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                    Hill, Christopher T. Sat .  
        "Anomalies, Chern-Simons terms and chiral delocalization in extra dimensions".  United States.  https://doi.org/10.1103/PHYSREVD.73.085001.

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@article{osti_20782927,

  title        = {Anomalies, Chern-Simons terms and chiral delocalization in extra dimensions},

  author       = {Hill, Christopher T},

  abstractNote = {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.},

  doi          = {10.1103/PHYSREVD.73.085001},

  url          = {https://www.osti.gov/biblio/20782927},
  journal      = {Physical Review. D, Particles Fields},

  issn         = {0556-2821},

  number       = 8,

  volume       = 73,

  place        = {United States},

  year         = {2006},

  month        = {4}

}

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