English

Reflection positivity in simplicial gravity

Mathematical Physics 2016-05-25 v1 math.MP

Abstract

Within the context of piecewise linear manifolds we establish reflection positivity with a Hilbert action given in terms of the Regge curvature and a cosmological term. Using this positivity a Hilbert space for a quantum theory is constructed and some field operators and observables are given. The set-up allows to introduce time reversal though no time exists. All constructions are non-perturbative.

Keywords

Cite

@article{arxiv.1510.06376,
  title  = {Reflection positivity in simplicial gravity},
  author = {Robert Schrader},
  journal= {arXiv preprint arXiv:1510.06376},
  year   = {2016}
}

Comments

16 pages

R2 v1 2026-06-22T11:25:55.948Z