Anomalies, ChernSimons terms and chiral delocalization in extra dimensions
Abstract
Gauge invariant topological interactions, such as the D=5 ChernSimons (CS) term, are required in models in extra dimensions that split anomaly free representations. The ChernSimons 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 KaluzaKlein (KK)mode parity to the parity of spacetime, leaving a single parity symmetry. It leads to new processes among KK modes e.g., the decay of a KK mode to a 2body 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 KKmode 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 nonAbelian formalism. We illustrate this by showing in a simple way how a D=5 YangMills 'quark flavor' symmetry leads to the D=4 chiral Lagrangian of mesons and the quantized WessZuminoWitten term.
 Authors:

 Fermi National Accelerator Laboratory, P.O. Box 500, Batavia, Illinois 60510 (United States)
 Publication Date:
 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 05562821
 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; KALUZAKLEIN THEORY; LAGRANGIAN FIELD THEORY; LAGRANGIAN FUNCTION; MEMBRANES; MESONS; PARITY; QUARKS; SPACETIME; SPINORS; TOPOLOGY; YANGMILLS THEORY
Citation Formats
Hill, Christopher T. Anomalies, ChernSimons terms and chiral delocalization in extra dimensions. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVD.73.085001.
Hill, Christopher T. Anomalies, ChernSimons terms and chiral delocalization in extra dimensions. United States. https://doi.org/10.1103/PHYSREVD.73.085001
Hill, Christopher T. Sat .
"Anomalies, ChernSimons terms and chiral delocalization in extra dimensions". United States. https://doi.org/10.1103/PHYSREVD.73.085001.
@article{osti_20782927,
title = {Anomalies, ChernSimons terms and chiral delocalization in extra dimensions},
author = {Hill, Christopher T},
abstractNote = {Gauge invariant topological interactions, such as the D=5 ChernSimons (CS) term, are required in models in extra dimensions that split anomaly free representations. The ChernSimons 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 KaluzaKlein (KK)mode parity to the parity of spacetime, leaving a single parity symmetry. It leads to new processes among KK modes e.g., the decay of a KK mode to a 2body 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 KKmode 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 nonAbelian formalism. We illustrate this by showing in a simple way how a D=5 YangMills 'quark flavor' symmetry leads to the D=4 chiral Lagrangian of mesons and the quantized WessZuminoWitten term.},
doi = {10.1103/PHYSREVD.73.085001},
url = {https://www.osti.gov/biblio/20782927},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 8,
volume = 73,
place = {United States},
year = {2006},
month = {4}
}