Feynman integral in regularized non-relativistic quantum electrodynamics

Abstract

We express the unitary time evolution in non-relativistic regularized quantum electrodynamics at zero and positive temperature by a Feynman integral defined in terms of a complex Brownian motion. An average over the quantum electromagnetic field determines the form of the quantum mechanics in an environment of a quantum black body radiation. In this non-perturbative formulation of quantum electrodynamics we prove the existence of the classical limit $\hslash \to 0$.We estimate an error to some approximations commonly applied in quantum radiation theory.

30 pages, LaTex file

References in corpus (1)

• Stochastic Schrödinger equation from an interaction with the environment

Cited by in corpus (3)

• Functional Integral Representation of the Pauli-Fierz Model with Spin 1/2
• The Feynman integral as a limit of complex measures
• Decoherence in QED at finite temperature