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Chin. Phys. B, 2006, Vol. 15(5): 934-939    DOI: 10.1088/1009-1963/15/5/011
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Restrictions on negative energy density for the Dirac field in flat spacetime

Shu Wei-XingaYu Hong-Weib, Li FeiaWu Pu-Xunb, Ren Zhong-Zhoua
a Department of Physics, Nanjing University, Nanjing 210093, China; b Department of Physics, Hunan Normal University, Changsha 410081, China
Abstract  This paper investigates the quantum Dirac field in n+1-dimensional flat spacetime and derives a lower bound in the form of quantum inequality on the energy density averaged against spacetime sampling functions. The state-independent quantum inequality derived in the present paper is similar to the temporal quantum energy inequality and it is stronger for massive field than for massless one. It also presents the concrete results of the quantum inequality in 2 and 4-dimensional spacetimes.
Keywords:  negative energy density      quantum inequality      spacetime averaged  
Received:  15 July 2005      Revised:  10 November 2005      Accepted manuscript online: 
PACS:  04.20.-q (Classical general relativity)  
  04.90.+e (Other topics in general relativity and gravitation)  
  11.10.-z (Field theory)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 10375023, 10575035 and 10125521), the Program for New Century Excellent Talents in University (Grant No 04-0784), the Key Project of Chinese Ministry of Education (Grant No

Cite this article: 

Shu Wei-Xing, Yu Hong-Wei, Li Fei, Wu Pu-Xun, Ren Zhong-Zhou Restrictions on negative energy density for the Dirac field in flat spacetime 2006 Chin. Phys. B 15 934

[1] The negative energy density for a three-single-electron state in the Dirac field
Shu Wei-Xing, Yu Hong-Wei, Wu Pu-Xun. Chin. Phys. B, 2004, 13(12): 2025-2029.
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