The free stochastic limit of interacting quantum fields

John Gough*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (SciVal)

Abstract

The problem of obtaining the quantum stochastic limit for a system interacting with a reservoir is investigated when both are considered as quantum fields. The pre-limit fields are as encountered in standard quantum field theory and in particular we do not resort to the simplifying responseless interaction for the reservoir field. In the separation of time scales between the unperturbed (slow) and interaction (fast) dynamics we find a new quantum stochastic noise emerging which describes multi-particle scatterings and has extended free statistics. We give explicit diagrammatic rules to compute the 2n-point correlators of the noise.

Original languageEnglish
Pages (from-to)439-454
Number of pages16
JournalInfinite Dimensional Analysis, Quantum Probability and Related Topics
Volume1
Issue number3
DOIs
Publication statusPublished - Jul 1998
Externally publishedYes

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