Quantum inequalities for the electromagnetic field
Abstract
A quantum inequality for the quantized electromagnetic field is developed for observers in static curved spacetimes. The quantum inequality derived is a generalized expression given by a mode function expansion of the four-vector potential, and the sampling function used to weight the energy integrals is left arbitrary up to the constraints that it be a positive, continuous function of unit area and that it decays at infinity. Examples of the quantum inequality are developed for Minkowski spacetime, Rindler spacetime and the Einstein closed universe.
- Publication:
-
Physical Review D
- Pub Date:
- December 2001
- DOI:
- arXiv:
- arXiv:gr-qc/0107075
- Bibcode:
- 2001PhRvD..65b4009P
- Keywords:
-
- 04.62.+v;
- 03.70.+k;
- 11.10.Ef;
- Quantum field theory in curved spacetime;
- Theory of quantized fields;
- Lagrangian and Hamiltonian approach;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- 19 pages, 1 table and 1 figure. RevTex style