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Lower Bounds on Negative Energy Densities for the Scalar Field in Flat Spacetime |
| SHU Wei-Xing1;YU Hong-Wei2;REN Zhong-Zhou1;WU Pu-Xun2;LI Fei1 |
| 1Department of Physics, Nanjing University, Nanjing 210093
2Department of Physics, Hunan Normal University, Changsha 410081 |
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| Cite this article: |
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SHU Wei-Xing, YU Hong-Wei, REN Zhong-Zhou et al 2006 Chin. Phys. Lett. 23 25-28 |
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Abstract We obtain a lower bound on the spacetime-weighted average of the energy density for the scalar field in four-dimensional flat spacetime. The bound takes the form of a quantum inequality. The inequality does not rely on the quantum state and its form is only related to the weights, namely the spacetime sampling functions which are assumed to be smooth, positive and compactly supported. It is found that the inequality is just equal to the temporal quantum energy inequality. When the characteristic length of the temporal sampling function tends to zero, the lower bound becomes divergent. This is consistent with the fact that the spatial restriction on negative energy density does not exist in four-dimensional spacetime.
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| Keywords:
04.62.+v
03.70.+k
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Published: 01 January 2006
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| PACS: |
04.62.+v
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(Quantum fields in curved spacetime)
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03.70.+k
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(Theory of quantized fields)
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