 0411 HansOtto Georgii, Roderich Tumulka
 Global Existence of Bell's TimeInhomogeneous Jump Process
for Lattice Quantum Field Theory
(50K, LaTeX)
Jan 20, 04

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Abstract. We consider the timeinhomogeneous Markovian jump process introduced by John S. Bell [Phys.Rep.137, 49 (1986)] for a lattice quantum field theory, which runs on the associated configuration space. Its jump rates, tailored to give the process the quantum distribution
$\Psi_t^2$ 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 $\Psi_0$. The proof of nonexplosion takes advantage of the special role of the $\Psi_t^2$ distribution.
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