English

On the positivity of propagator differences

Analysis of PDEs 2014-11-27 v1 Differential Geometry Spectral Theory

Abstract

We discuss positivity properties of `distinguished propagators', i.e. distinguished inverses of operators that frequently occur in scattering theory and wave propagation. We relate this to the work of Duistermaat and H\"ormander on distinguished parametrices (approximate inverses), which has played a major role in quantum field theory on curved spacetimes recently.

Cite

@article{arxiv.1411.7242,
  title  = {On the positivity of propagator differences},
  author = {András Vasy},
  journal= {arXiv preprint arXiv:1411.7242},
  year   = {2014}
}

Comments

19 pages, 1 figure

R2 v1 2026-06-22T07:13:10.935Z