Finite Propagation Speed and Causal Free Quantum Fields on Networks
نویسنده
چکیده
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. PACS: 03.65.Nk, 03.70.+k, 73.21.Hb
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