Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-07-09
J.Phys.A42:495401,2009
Physics
High Energy Physics
High Energy Physics - Theory
Scientific paper
10.1088/1751-8113/42/49/495401
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.
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