Ghost elimination in quantum gravity
Abstract
The problem of quantizing the gravitational field in interaction with scalar mesons when gravity has certain nonminimal terms in addition to Einstein's Lagrangian is studied. The extra poles in the graviton propagator are described and an attempt is made to remove the ghost particle in lowestorder graphs. It is found that this is not possible, and a 2meson1graviton scattering graph whose S matrix contribution has a ghost pole at the 2meson threshold is exhibited. It is noted that if graviton ghost cancellation were possible the usual renormalizability criterion would be required to prevent meson ghost appearances.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 January 1976
 DOI:
 10.1088/03054470/9/1/011
 Bibcode:
 1976JPhA....9...59N
 Keywords:

 Field Theory (Physics);
 Gravitation Theory;
 Gravitons;
 Mesons;
 Particle Interactions;
 Quantum Theory;
 Ghosts;
 Gravitational Fields;
 Scatter Propagation;
 Tensor Analysis;
 Physics (General)