Gravitational waves as string vacua. III
Abstract
Perturbative construction of 'in' and 'out' scalar vertex operators in nonlinear sigmamodels corresponding to gravitational plane wave backgrounds are described. The calculation is performed to all loops in the weak field limit and up to three loops in the usual perturbation expansion. The closed expressions for the vertex operators are given. They exhibit peculiar singularities in the target space which are closely related to the focusing phenomena in such backgrounds described in the previous parts of this review. Then the appendix is provided in which finite planar shell shock waves are studied. The review ends up with conclusions and a short list of related results published since it was written.
 Publication:

Czechoslovak Journal of Physics
 Pub Date:
 February 1992
 DOI:
 10.1007/BF01606363
 Bibcode:
 1992CzJPh..42..121K
 Keywords:

 Gravitational Waves;
 Mathematical Models;
 Plane Waves;
 String Theory;
 Vacuum;
 Equations Of Motion;
 Operators (Mathematics);
 S Matrix Theory;
 Shock Waves;
 Singularity (Mathematics);
 Astrophysics