@inbook{f0ec00b632434593ac30644ef3dc66d8,
title = "Diffeomorphism group representations in relativistic quantum field theory",
abstract = "We explore the role played by the diffeomorphism group and its unitary representations in relativistic quantum field theory. From the quantum kinematics of particles described by representations of the diffeomorphism group of a space-like surface in an inertial reference frame, we reconstruct the local relativistic neutral scalar field in the Fock representation. An explicit expression for the free Hamiltonian is obtained in terms of the Lie algebra generators (mass and momentum densities). We suggest that this approach can be generalized to fields whose quanta are spatially extended objects.",
keywords = "Diffeomorphism groups, Relativistic quantum fields, Unitary group representations",
author = "Goldin, {Gerald A.} and Sharp, {David H.}",
note = "Funding Information: GG thanks Los Alamos National Laboratory for hospitality during the course of this research, and Rutgers University for travel support. This work was supported by the U.S. Department of Energy. The document has been assigned report number LA-UR-17-3193 and approved for public release by the Los Alamos National Laboratory. Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",
year = "2019",
doi = "10.1007/978-3-030-01156-7_6",
language = "English (US)",
series = "Trends in Mathematics",
publisher = "Springer International Publishing",
pages = "47--56",
booktitle = "Trends in Mathematics",
}