A new class of Fermionic Projectors: M{\o}ller operators and mass oscillation properties
Mathematical Physics
2022-02-24 v2 General Relativity and Quantum Cosmology
math.MP
Operator Algebras
Spectral Theory
Abstract
Recently, a new functional analytic construction of quasi-free states for a self-dual CAR algebra has been presented in \cite{Felix2}. This method relies on the so-called strong mass oscillation property. We provide an example where this requirement is not satisfied, due to the nonvanishing trace of the solutions of the Dirac equation on the horizon of Rindler space, and we propose a modification of the construction in order to weaken this condition. Finally, a connection between the two approaches is built.
Keywords
Cite
@article{arxiv.1607.02909,
title = {A new class of Fermionic Projectors: M{\o}ller operators and mass oscillation properties},
author = {Nicolò Drago and Simone Murro},
journal= {arXiv preprint arXiv:1607.02909},
year = {2022}
}
Comments
21 pages, accepted for publication in Letters in Mathematical Physics ( 998 )