论文标题
全局DE Sitter时空中纺纱量量子场理论的本征模
The eigenmodes for spinor quantum field theory in global de Sitter space-time
论文作者
论文摘要
$ n $ dimensional de Sitter时空的模式解决方案（$ ds_ {n} $）带有$（n-1）$ - 球形空间段，是通过分析继续分析的旋转器特征操作员在$ n $ sphere（$ s^{n} $）上的旋转器特征操作员而获得的。识别平坦时空正频率模式的类似物，并定义了真空。研究了DE Sitter组双盖（Spin（$ n $，1））下模式解决方案的转换属性。我们使用Mode-SUM方法重现了无质旋转旋转器Wightman两点函数的表达式。通过使用此封闭形式的表达并利用$ ds_ {n} $的最大对称性，我们找到了旋转器并行传播器的分析表达式。后者用于以封闭形式构造大型Wightman两点函数。
The mode solutions of the Dirac equation on $N$-dimensional de Sitter space-time ($dS_{N}$) with $(N-1)$-sphere spatial sections are obtained by analytically continuing the spinor eigenfunctions of the Dirac operator on the $N$-sphere ($S^{N}$). The analogs of flat space-time positive frequency modes are identified and a vacuum is defined. The transformation properties of the mode solutions under the de Sitter group double cover (Spin($N$,1)) are studied. We reproduce the expression for the massless spinor Wightman two-point function in closed form using the mode-sum method. By using this closed-form expression and taking advantage of the maximal symmetry of $dS_{N}$ we find an analytic expression for the spinor parallel propagator. The latter is used to construct the massive Wightman two-point function in closed form.
