A general worldline quantum inequality

Classical and Quantum Gravity

Volumn 17, Issue 9, 2000, Pages 1897-1911

  Fewster, Christopher J ^a  

^a UNIVERSITY OF YORK   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034337728     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/17/9/302     Document Type: Article

References (28)

1. Ford L H and Roman T A 1997 Restrictions on negative energy density in flat spacetime Phys. Rev. D 55 2082
2. Pfenning M J and Ford L H 1998 Scalar field quantum inequalities in static spacetimes Phys. Rev. D 57 3489
3. Flanagan É É 1997 Quantum inequalities in two-dimensional Minkowski spacetime Phys. Rev. D 56 4922
4. Fewster C J and Eveson S P 1998 Bounds on negative energy densities in flat spacetime Phys. Rev. D 58 084010
5. Fewster C J and Teo E 1999 Bounds on negative energy densities in static space-times Phys. Rev. D 59 104016 (Fewster C J and Teo E 1998 Preprint gr-qc/9812032)
6. Fewster C J and Teo E 1999 Bounds on negative energy densities in static space-times Phys. Rev. D 59 104016 (Fewster C J and Teo E 1998 Preprint gr-qc/9812032)
7. Vollick D N 2000 Quantum inequalities in curved two dimensional spacetimes Preprint gr-qc/0001009
8. Helfer A D 1999 The Hamiltonians of linear quantum fields II: classically positive Hamiltonians Preprint hep-th/9908012
9. Ford L H 1978 Quantum coherence effects and the second law of thermodyamics Proc. R. Soc. A 364 227-36
10. Heifer A D 1996 The stress-energy operator Class. Quantum Grav. 13 L129-34
11. Wightman A S 1967 Introduction to some aspects of the relativistic dynamics of quantized fields High Energy Electromagnetic Interactions and Field Theory (Cargèse Lectures in Theoretical Physics) ed M Lévy (New York: Gordon and Breach)
12. Hörmander L 1990 The Analysis of Linear Partial Differential Operators I: Distribution Theory and Fourier Analysis 2nd edn (Berlin: Springer)
13. Radzikowski M J 1996 Micro-local approach to the Hadamard condition in quantum field theory on curved space-time Commun. Math. Phys. 179 529-53
14. Köhler M 1995 New examples for Wightman fields on a manifold Class. Quantum Grav. 12 1413-27
15. Brunetti R, Fredenhagen K and Köhler M 1996 The microlocal spectrum condition and Wick polynomials of free fields in curved spacetimes Commun. Math. Phys. 180 633-52
16. Fulling S A, Narcowich F J and Wald R M 1981 Singularity structure of the two-point function in quantum field theory in curved spacetime, II Ann. Phys. 136 243-72
17. Fewster C J and Teo E 2000 Phys. Rev. D 61 084012 (Fewster C J and Teo E 1999 Quantum inequalities and quantum interest as eigenvalue problems Preprint gr-qc/9908073)
18. Fewster C J and Teo E 2000 Phys. Rev. D 61 084012 (Fewster C J and Teo E 1999 Quantum inequalities and quantum interest as eigenvalue problems Preprint gr-qc/9908073)
19. Ford L H and Roman T A 1999 The quantum interest conjecture Phys. Rev. D 60 104018 (Ford L H and Roman T A 1999 Preprint gr-qc/9901074)
20. Ford L H and Roman T A 1999 The quantum interest conjecture Phys. Rev. D 60 104018 (Ford L H and Roman T A 1999 Preprint gr-qc/9901074)
21. Kay B S 1992 The principle of locality and quantum field theory on (non globally hyperbolic) curved spacetimes Rev. Math. Phys. (special issue) 167-95
22. Wald R M 1984 General Relativity (Chicago, IL: University of Chicago Press)
23. Kay B S and Wald R M 1991 Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasi-free states on spacetimes with a bifurcate Killing horizon Phys. Rep. 207 49-136
24. Hörmander L 1971 Fourier integral operators. I Acta Math. 127 79-183
25. Duistermaat J J and Hörmander L 1972 Fourier integral operators. II Acta Math. 128 183-269
26. Wald R M 1994 Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics (Chicago, IL: University of Chicago Press)
27. Adams R A 1975 Sobolev spaces (New York: Academic)
28. Reed M and Simon B 1975 Methods of Modern Mathematical Physics II: Fourier Analysis, Self-Adjointness (San Diego, CA: Academic)