Quantization of scalar fields coupled to point-masses
Mathematical Physics
2017-03-24 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
We study the Fock quantization of a compound classical system consisting of point masses and a scalar field. We consider the Hamiltonian formulation of the model by using the geometric constraint algorithm of Gotay, Nester and Hinds. By relying on this Hamiltonian description, we characterize in a precise way the real Hilbert space of classical solutions to the equations of motion and use it to rigorously construct the Fock space of the system. We finally discuss the structure of this space, in particular the impossibility of writing it in a natural way as a tensor product of Hilbert spaces associated with the point masses and the field, respectively.
Cite
@article{arxiv.1501.05114,
title = {Quantization of scalar fields coupled to point-masses},
author = {J. Fernando Barbero and Benito A. Juárez-Aubry and Juan Margalef-Bentabol and Eduardo J. S. Villaseñor},
journal= {arXiv preprint arXiv:1501.05114},
year = {2017}
}
Comments
21 pages. Accepted for publication in Classical and Quantum Gravity