Hadamard renormalization for a charged scalar field
Hadamard renormalization for a charged scalar field
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DOI：
10.1088/1361-6382/ab6b6e
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发表时间：
2019-10
影响因子：
3.5
通讯作者：
Visakan Balakumar;E. Winstanley
中科院分区：
文献类型：
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作者：
Visakan Balakumar;E. Winstanley
弯曲时空中量子场绿色函数的阿达玛表示是计算重整化期望值的有力工具。本文研究了任意维时空中有质量带电复标量场的费曼绿色函数的阿达玛形式。在阿达玛参数系数的显式表达式给出了两个，三个和四个时空维度。然后，我们开发的阿达玛重整化的标量场凝聚，电流和应力能量张量的期望值的形式主义。这些结果将在计算带电黑洞时空上的带电量子标量场的重整化期望值中有应用，因此可以解决诸如内视界的量子稳定性等问题。
The Hadamard representation of the Green’s function of a quantum field on a curved space-time is a powerful tool for computations of renormalized expectation values. We study the Hadamard form of the Feynman Green’s function for a massive charged complex scalar field in an arbitrary number of space-time dimensions. Explicit expressions for the coefficients in the Hadamard parametrix are given for two, three and four space-time dimensions. We then develop the formalism for the Hadamard renormalization of the expectation values of the scalar field condensate, current and stress-energy tensor. These results will have applications in the computation of renormalized expectation values for a charged quantum scalar field on a charged black hole space-time, and hence in addressing issues such as the quantum stability of the inner horizon.