有界几何洛伦兹流形上量子化狄拉克场的哈达玛态

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Reviews in Mathematical Physics Pub Date : 2021-08-26 DOI:10.1142/S0129055X22500088

C. G'erard, Th'eo Stoskopf

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引用次数: 7

摘要

研究具有自旋结构的偶维有界几何洛伦兹流形上的狄拉克方程。对于相关的自由量子场理论，我们利用柯西曲面上的全局伪微分学构造了纯Hadamard态。我们还给出了具有自旋结构的任意时空狄拉克场的两种Hadamard态的构造。

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Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry

We consider Dirac equations on even-dimensional Lorentzian manifolds of bounded geometry with a spin structure. For the associated free quantum field theory, we construct pure Hadamard states using global pseudodifferential calculus on a Cauchy surface. We also give two constructions of Hadamard states for Dirac fields for arbitrary spacetimes with a spin structure.

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来源期刊

Reviews in Mathematical Physics 物理-物理：数学物理

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Reviews in Mathematical Physics fills the need for a review journal in the field, but also accepts original research papers of high quality. The review papers - introductory and survey papers - are of relevance not only to mathematical physicists, but also to mathematicians and theoretical physicists interested in interdisciplinary topics. Original research papers are not subject to page limitations provided they are of importance to this readership. It is desirable that such papers have an expository part understandable to a wider readership than experts. Papers with the character of a scientific letter are usually not suitable for RMP.