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.
Received: 15 July 2005
Revised: 10 November 2005
Accepted manuscript online:
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 (舒维星), Yu Hong-Wei (余洪伟), Li Fei (李 飞), Wu Pu-Xun (吴普训), Ren Zhong-Zhou (任中洲) Restrictions on negative energy density for the Dirac field in flat spacetime 2006 Chinese Physics 15 934
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