On the classical limit of self-interacting quantum field Hamiltonians with cutoffs
Mathematical Physics
2012-10-22 v1 math.MP
Abstract
We study, using Hepp's method, the propagation of coherent states for a general class of self interacting bosonic quantum field theories with spatial cutoffs. This includes models with non-polynomial interactions in the field variables. We show indeed that the time evolution of coherent states, in the classical limit, is well approximated by time-dependent affine Bogoliubov unitary transformations. Our analysis relies on a non-polynomial Wick quantization and a specific hypercontractive estimate.
Keywords
Cite
@article{arxiv.1210.5441,
title = {On the classical limit of self-interacting quantum field Hamiltonians with cutoffs},
author = {Zied Ammari and Maher Zerzeri},
journal= {arXiv preprint arXiv:1210.5441},
year = {2012}
}