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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