skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

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:
 [1]
  1. 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 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.
Hill, Christopher T. Anomalies, Chern-Simons terms and chiral delocalization in extra dimensions. United States. https://doi.org/10.1103/PHYSREVD.73.085001
Hill, Christopher T. Sat . "Anomalies, Chern-Simons terms and chiral delocalization in extra dimensions". United States. https://doi.org/10.1103/PHYSREVD.73.085001.
@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}
}