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Title: Non-compact nonlinear sigma models

Abstract

The target space of a nonlinear sigma model is usually required to be positive definite to avoid ghosts. We introduce a unique class of nonlinear sigma models where the target space metric has a Lorentzian signature, thus the associated group being non-compact. We show that the would-be ghost associated with the negative direction is fully projected out by 2 second-class constraints, and there exist stable solutions in this class of models. This result also has important implications for Lorentz–invariant massive gravity: There exist stable nontrivial vacua in massive gravity that are free from any linear vDVZ-discontinuity and a decoupling limit can be defined on these vacua.

Authors:
 [1];  [1];  [1]
  1. Case Western Reserve Univ., Cleveland, OH (United States). CERCA, Department of Physics
Publication Date:
Research Org.:
Case Western Reserve Univ., Cleveland, OH (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1353492
Alternate Identifier(s):
OSTI ID: 1434606
Grant/Contract Number:
SC0009946; SC0010600
Resource Type:
Journal Article: Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 760; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

de Rham, Claudia, Tolley, Andrew J., and Zhou, Shuang-Yong. Non-compact nonlinear sigma models. United States: N. p., 2016. Web. doi:10.1016/j.physletb.2016.07.035.
de Rham, Claudia, Tolley, Andrew J., & Zhou, Shuang-Yong. Non-compact nonlinear sigma models. United States. doi:10.1016/j.physletb.2016.07.035.
de Rham, Claudia, Tolley, Andrew J., and Zhou, Shuang-Yong. Tue . "Non-compact nonlinear sigma models". United States. doi:10.1016/j.physletb.2016.07.035.
@article{osti_1353492,
title = {Non-compact nonlinear sigma models},
author = {de Rham, Claudia and Tolley, Andrew J. and Zhou, Shuang-Yong},
abstractNote = {The target space of a nonlinear sigma model is usually required to be positive definite to avoid ghosts. We introduce a unique class of nonlinear sigma models where the target space metric has a Lorentzian signature, thus the associated group being non-compact. We show that the would-be ghost associated with the negative direction is fully projected out by 2 second-class constraints, and there exist stable solutions in this class of models. This result also has important implications for Lorentz–invariant massive gravity: There exist stable nontrivial vacua in massive gravity that are free from any linear vDVZ-discontinuity and a decoupling limit can be defined on these vacua.},
doi = {10.1016/j.physletb.2016.07.035},
journal = {Physics Letters. Section B},
number = ,
volume = 760,
place = {United States},
year = {Tue Jul 19 00:00:00 EDT 2016},
month = {Tue Jul 19 00:00:00 EDT 2016}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.physletb.2016.07.035

Citation Metrics:
Cited by: 5works
Citation information provided by
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