Causal signal transmission by quantum fields. II. Quantum-statistical response of interacting bosons
Abstract
We analyse nonperturbatively signal transmission patterns in Green's functions of interacting quantum fields. Quantum field theory is re-formulated in terms of the nonlinear quantum-statistical response of the field. This formulation applies equally to interacting relativistic fields and nonrelativistic models. Of crucial importance is that all causality properties to be expected of a response formulation indeed hold. Being by construction equivalent to Schwinger's closed-time-loop formalism, this formulation is also shown to be related naturally to both Kubo's linear response and Glauber's macroscopic photodetection theories, being a unification of the two with generalisation to the nonlinear quantum-statistical response problem. In this paper we introduce response formulation of bosons; response reformulation of fermions will be subject of a separate paper.
Cite
@article{arxiv.0804.4091,
title = {Causal signal transmission by quantum fields. II. Quantum-statistical response of interacting bosons},
author = {L. I. Plimak and S. Stenholm},
journal= {arXiv preprint arXiv:0804.4091},
year = {2008}
}
Comments
Accepted to Annals of Physics