Finite propagation speed and causal free quantum fields on networks
High Energy Physics - Theory
2011-08-02 v1 Mathematical Physics
math.MP
Abstract
Laplace operators on metric graphs give rise to Klein-Gordon and wave operators. Solutions of the Klein-Gordon equation and the wave equation are studied and finite propagation speed is established. Massive, free quantum fields are then constructed, whose commutator function is just the Klein-Gordon kernel. As a consequence of finite propagation speed Einstein causality (local commutativity) holds. Comparison is made with an alternative construction of free fields involving RT-algebras.
Keywords
Cite
@article{arxiv.0907.1522,
title = {Finite propagation speed and causal free quantum fields on networks},
author = {Robert Schrader},
journal= {arXiv preprint arXiv:0907.1522},
year = {2011}
}