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Restrictions on negative energy density for the Dirac field in flat spacetime
Authors:Shu Wei-Xing  Yu Hong-Wei  Li Fei  Wu Pu-Xun  Ren Zhong-Zhou
Affiliation:Department of Physics, Nanjing University, Nanjing 210093, China; Department of Physics, Hunan Normal University, Changsha 410081, China
Abstract:This paper investigates the quantum Dirac field in n+1-dimensional flatspacetime and derives a lower bound in the form of quantum inequality on the energy density averagedagainst spacetime sampling functions. The state-independent quantum inequality derived in the present paper issimilar to the temporal quantum energy inequality and it is stronger for massivefield than for massless one. It alsopresents the concrete results of the quantum inequality in 2 and4-dimensional spacetimes.
Keywords:negative energy density   quantum inequality  spacetime averaged
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