TY - JOUR AB - We consider the Nelson model with ultraviolet cutoff, which describes the interaction between non-relativistic particles and a positive or zero mass quantized scalar field. We take the non-relativistic particles to obey Fermi statistics and discuss the time evolution in a mean-field limit of many fermions. In this case, the limit is known to be also a semiclassical limit. We prove convergence in terms of reduced density matrices of the many-body state to a tensor product of a Slater determinant with semiclassical structure and a coherent state, which evolve according to a fermionic version of the Schrödinger–Klein–Gordon equations. AU - Leopold, Nikolai K AU - Petrat, Sören P ID - 6788 IS - 10 JF - Annales Henri Poincare SN - 1424-0637 TI - Mean-field dynamics for the Nelson model with fermions VL - 20 ER -