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Title: Holonomy anomalies

Abstract

A new type of anomaly is discussed that afflicts certain non-linear sigma models with fermions. This anomaly is similar to the ordinary gauge and gravitational anomalies since it reflects a topological obstruction to the reparametrization invariance of the quantum effective action. Nonlinear sigma models are constructed based on homogeneous spaces G/H. Anomalies arising when the fermions are chiral are shown to be cancelled sometimes by Chern-Simons terms. Nonlinear sigma models are considered based on general Riemannian manifolds. 9 refs. (LEW)

Authors:
; ;
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (USA). Lyman Lab. of Physics; Stanford Linear Accelerator Center, CA (USA)
OSTI Identifier:
5513432
Report Number(s):
SLAC-PUB-3698; CONF-8503141-2
ON: DE85014354
DOE Contract Number:
AC03-76SF00515
Resource Type:
Conference
Resource Relation:
Conference: Symposium on anomalies, geometry and topology, Argonne, IL, USA, 28 Mar 1985
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; SIGMA MODEL; NONLINEAR PROBLEMS; CHIRALITY; FERMIONS; LAGRANGIAN FUNCTION; FUNCTIONS; MATHEMATICAL MODELS; PARTICLE MODELS; PARTICLE PROPERTIES; 645400* - High Energy Physics- Field Theory

Citation Formats

Bagger, J., Nemeschansky, D., and Yankielowicz, S. Holonomy anomalies. United States: N. p., 1985. Web.
Bagger, J., Nemeschansky, D., & Yankielowicz, S. Holonomy anomalies. United States.
Bagger, J., Nemeschansky, D., and Yankielowicz, S. Wed . "Holonomy anomalies". United States. doi:. https://www.osti.gov/servlets/purl/5513432.
@article{osti_5513432,
title = {Holonomy anomalies},
author = {Bagger, J. and Nemeschansky, D. and Yankielowicz, S.},
abstractNote = {A new type of anomaly is discussed that afflicts certain non-linear sigma models with fermions. This anomaly is similar to the ordinary gauge and gravitational anomalies since it reflects a topological obstruction to the reparametrization invariance of the quantum effective action. Nonlinear sigma models are constructed based on homogeneous spaces G/H. Anomalies arising when the fermions are chiral are shown to be cancelled sometimes by Chern-Simons terms. Nonlinear sigma models are considered based on general Riemannian manifolds. 9 refs. (LEW)},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Wed May 01 00:00:00 EDT 1985},
month = {Wed May 01 00:00:00 EDT 1985}
}

Conference:
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