# The resolvent algebra of non-relativistic Bose fields: sectors, morphisms, fields and their dynamics

July 20, 2018

In a previous article it was shown that non-relativistic Hamiltonians,
including largely arbitrary pair potentials, induce an automorphic action of
time translations on the C*-algebra generated by the gauge invariant (particle
number preserving) observables in the resolvent algebra of a non-relativistic
Bose field. In this note these results are extended to the corresponding field
algebra, i.e. the C*-algebra generated by the observables and a pair of
particle number changing isometries. The underlying strategy of proof relies on
ideas developed by Doplicher, Haag and Roberts in the sector analysis of
relativistic quantum field theories. A more detailed exposition of these
results is in preparation.

open access link

@article{Buchholz:2018ruh,
author = "Buchholz, Detlev",
title = "{The Resolvent Algebra of Non-relativistic Bose Fields:
Observables, Dynamics and States}",
journal = "Commun. Math. Phys.",
volume = "362",
year = "2018",
number = "3",
pages = "949-981",
doi = "10.1007/s00220-018-3144-6",
eprint = "1807.07885",
archivePrefix = "arXiv",
primaryClass = "math-ph",
SLACcitation = "%%CITATION = ARXIV:1807.07885;%%"
}

Keywords:

*none*