Reflection positivity in simplicial gravity

Robert Schrader
2016 Journal of Physics A: Mathematical and Theoretical  
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.
doi:10.1088/1751-8113/49/21/215202 fatcat:6tu4dykmdngkdljpcoi2rikujq