Quantization of scalar fields coupled to point masses Articles uri icon

publication date

  • December 2015

start page

  • 245009

issue

  • 24

volume

  • 32

International Standard Serial Number (ISSN)

  • 0264-9381

Electronic International Standard Serial Number (EISSN)

  • 1361-6382

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.

keywords

  • qft in curved space times; geometric hamiltonian formulation; fock quantization; massive gauge theories; quantum darwinism; yang-mills