Quantum inequalities in two-dimensional Minkowski spacetime

被引:90
作者
Flanagan, EE
机构
[1] Cornell University, Newman Laboratory, Ithaca, NY
来源
PHYSICAL REVIEW D | 1997年 / 56卷 / 08期
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevD.56.4922
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We generalize some results of Ford and Roman constraining the possible behaviors of the renormalized expected stress-energy tensor of a free massless scalar field in two-dimensional Minkowski spacetime. Ford and Roman showed that the energy density measured by an inertial observer, when averaged with respect to the observers proper time by integrating against some weighting function, is bounded below by a negative lower bound proportional to the reciprocal of the square of the averaging time scale. However, the proof required a particular choice for the weighting function. We extend the Ford-Roman result in two ways. (i) We calculate the optimum (maximum possible) lower bound and characterize the state which achieves this lower bound; the optimum lower bound differs by a factor of six from the bound derived by Ford and Roman for their choice of smearing function. (ii) We calculate the lower bound for arbitrary, smooth positive weighting functions. We also derive similar lower bounds on the spatial average of energy density at a fixed moment of time. [S0556-2821(97)07420-1]. PACS number(s): 04.62.+v, 03.70.+k, 42.50.Dv.
引用
收藏
页码:4922 / 4926
页数:5
相关论文
共 23 条
  • [1] VACUUM STRESS BETWEEN CONDUCTING PLATES - AN IMAGE SOLUTION
    BROWN, LS
    MACLAY, GJ
    [J]. PHYSICAL REVIEW, 1969, 184 (05): : 1272 - &
  • [2] Casimir H. B. G., 1948, Proc. Kon. Ned. Akad. Wet, V51, P793, DOI DOI 10.4236/WJNSE.2015.52007
  • [3] NONPOSITIVITY OF ENERGY DENSITY IN QUANTIZED FIELD THEORIES
    EPSTEIN, H
    GLASER, V
    JAFFE, A
    [J]. NUOVO CIMENTO, 1965, 36 (03): : 1016 - +
  • [4] Does back reaction enforce the averaged null energy condition in semiclassical gravity?
    Flanagan, EE
    Wald, RM
    [J]. PHYSICAL REVIEW D, 1996, 54 (10) : 6233 - 6283
  • [5] COSMIC FLASHING IN 4 DIMENSIONS
    FORD, LH
    ROMAN, TA
    [J]. PHYSICAL REVIEW D, 1992, 46 (04): : 1328 - 1339
  • [6] CONSTRAINTS ON NEGATIVE-ENERGY FLUXES
    FORD, LH
    [J]. PHYSICAL REVIEW D, 1991, 43 (12): : 3972 - 3978
  • [7] Restrictions on negative energy density in flat spacetime
    Ford, LH
    Roman, TA
    [J]. PHYSICAL REVIEW D, 1997, 55 (04): : 2082 - 2089
  • [8] QUANTUM COHERENCE EFFECTS AND THE SECOND LAW OF THERMODYNAMICS
    FORD, LH
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1978, 364 (1717): : 227 - 236
  • [9] Averaged energy conditions and evaporating black holes
    Ford, LH
    Roman, TA
    [J]. PHYSICAL REVIEW D, 1996, 53 (04) : 1988 - 2000
  • [10] Quantum field theory constrains traversable wormhole geometries
    Ford, LH
    Roman, TA
    [J]. PHYSICAL REVIEW D, 1996, 53 (10): : 5496 - 5507