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Title: Non-compact nonlinear sigma models

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

de Rham, Claudia, Tolley, Andrew J., and Zhou, Shuang-Yong. Non-compact nonlinear sigma models. United States: N. p., 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. 2016. "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 = {2016},
month = {7}
}