Global Existence of Bell’s Time-Inhomogeneous Jump Process for Lattice Quantum Field Theory
نویسنده
چکیده
We consider the time-inhomogeneous Markovian jump process introduced by John S. Bell [4] for a lattice quantum field theory, which runs on the associated configuration space. Its jump rates, tailored to give the process the quantum distribution |Ψt| at all times t, typically exhibit singularities. We establish the existence of a unique such process for all times, under suitable assumptions on the Hamiltonian or the initial state vector Ψ0. The proof of non-explosion takes advantage of the special role of the |Ψt| distribution.
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