Lower Bounds on Negative Energy Densities for the Scalar Field in Flat Spacetime

作     者：舒维星 余洪伟 任中洲 吴普训 李飞 

作者机构：Department of Physics Nanjing University Nanjing 210093 Department of Physics Hunan Normal University Changsha 410081 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2006年第23卷第1期

页      面：25-28页

核心收录：

学科分类：07[理学] 070401[理学-天体物理] 0704[理学-天文学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 10375023  10575035 and 10125521  the Program for NCET (No 04-0784)  the Key Project of Chinese Ministry of Education (No 205110)  and the National Major State Basic Research and Development Programme of China (G2000077400) 

主　　题：QUANTUM INEQUALITIES BLACK-HOLES DIRAC FIELD WARP DRIVE STATES TIME 

摘      要：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.