# 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.

Keywords:

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