Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/american-physical-society-aps/quantum-weak-energy-inequalities-for-the-dirac-field-in-flat-spacetime-QBJ91F2tvg
References (10)
-
(1978)
Proc. Roy. Soc. Lond. A364 -
Hongwei Yu, W. Shu (2003)
Quantum states with negative energy density in the Dirac field and quantum inequalitiesPhysics Letters B, 570
-
A. Helfer (1999)
The Hamiltonians of Linear Quantum Fields: II. Classically Positive HamiltoniansarXiv: High Energy Physics - Theory
-
(1965)
Nuovo Cimento 36 -
(1998)
Phys. Rev. D -
In a fully rigorous formulation (cf. [16]), one would expect the QWEI to hold for all Hadamard states -
(2002)
Commun. Math. Phys -
C. Fewster, M. Pfenning (2003)
A quantum weak energy inequality for spin-one fields in curved space–timeJournal of Mathematical Physics, 44
-
(2000)
Class -
(1939)
Physica (Amsterdam) 6
- Publisher
- American Physical Society (APS)
- Copyright
- Copyright © 2003 The American Physical Society
- ISSN
- 1089-4918
- DOI
- 10.1103/PhysRevD.68.105010
- Publisher site
- See Article on Publisher Site
Abstract
Quantum weak energy inequalities (QWEIs) have been established for a variety of quantum field theories in both flat and curved spacetimes. Dirac fields are known (by a result of Fewster and Verch) to satisfy QWEIs under very general circumstances. However this result does not provide an explicit formula for the QWEI bound, so its magnitude has not previously been determined. In this paper we present a new and explicit QWEI bound for Dirac fields of mass m >~ 0 in four-dimensional Minkowski space. We follow the methods employed by Fewster and Eveson for the scalar field, modified to take account of anticommutation relations. A key ingredient is an identity for Fourier transforms established by Fewster and Verch. We also compare our QWEI with those previously obtained for scalar and spin-1 fields.
Journal
Physical Review D – American Physical Society (APS)
Published: Nov 15, 2003