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arXiv 1504.08201gr-qchep-th
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电场对de-Sitter时空中费米子产生的影响

Effect of the electric field on the creation of fermions in de-Sitter space-time

S. Haouat, R. Chekireb

摘要:

研究了(1+1)维deSitter时空中电场对真空产生自旋为1/2粒子的影响.通过引入幺正变换,求解了具有常值电场的狄拉克方程。然后应用基于Bogoliubov变换的正则方法计算了正负波矢下的对产生几率和产生粒子的密度。通过对所有允许的状态求和,每单位时间每单位长度产生的粒子数和Schwinger有效作用量的虚部都以封闭形式表示。结果表明,电场导致粒子产生的显着增强。讨论了dS空间约化为平坦Minkowski时空的弱膨胀情形和极限H=0。

英文摘要:

The effect of the electric field on the creation of spin 1/2 particles from vacuum in the (1+1) dimensional de-Sitter space-time is studied. The Dirac equation with a constant electric field is solved by introducing an unitary transformation. Then the canonical method based on Bogoliubov transformation is applied to calculate the pair creation probability and the density of created particles both for positive or negative wave vector. By doing summation over all allowed states, the number of created particles per unit of time per unit of length and the imaginary part of the Schwinger effective action are expressed in closed forms. It is shown that the electric field leads to a significant enhancement of the particle creation. The weak expansion case and the limit H=0, where dS space reduces to the flat Minkowski space-time, are discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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