中国物理B ›› 2006, Vol. 15 ›› Issue (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

余洪伟1, 吴普训2, 李　飞3, 舒维星4, 任中洲4   

  1. (1)Department of Physics, Hunan Normal University, Changsha 410081, China; (2)Department of Physics, Hunan Normal University, Changsha 410081,China; (3)Department of Physics, Nanjing University,Nanjing 210093, China; (4)Department of Physics, Nanjing University,Nanjing 210093,China
  • 收稿日期:2005-07-15 修回日期:2005-11-10 出版日期:2006-05-20 发布日期:2006-05-20
  • 基金资助:
    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

Restrictions on negative energy density for the Dirac field in flat spacetime

Shu Wei-Xing (舒维星)a, Yu Hong-Wei (余洪伟)b, Li Fei (李　飞)a, Wu Pu-Xun (吴普训)b, Ren Zhong-Zhou (任中洲)a   

  1. a Department of Physics, Nanjing University, Nanjing 210093, China; b Department of Physics, Hunan Normal University, Changsha 410081, China
  • Received:2005-07-15 Revised:2005-11-10 Online:2006-05-20 Published:2006-05-20
  • Supported by:
    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

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摘要： 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.

关键词: negative energy density, quantum inequality, spacetime averaged

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.

Key words: negative energy density, quantum inequality, spacetime averaged

中图分类号:  (Classical general relativity)

  • 04.20.-q
04.90.+e (Other topics in general relativity and gravitation) 11.10.-z (Field theory)