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One Particle States in Curved Spacetime
Physics of Particles and Nuclei Letters Pub Date : 2020-10-07 , DOI: 10.1134/S154747712005026X
Farhang Loran

The traditional particle interpretation of states of quantum field theory in Minkowski spacetime relies on the Minkowski spacetime symmetry, i.e., the Poincare group uplifted to the Hilbert space. We argue that Weinberg’s approach to particles and interactions in Minkowski spacetime utilizes the representations of the inhomogeneous Lorentz transformations in the Hilbert space dissociated from the spacetime symmetry. Thus it provides a particle interpretation of states in general nonstationary curved spacetimes straightaway. We give Lagrangians for scalars, spinors and vector fields supporting the argument and show that these classical fields contribute to the cosmological constant.

中文翻译:

弯曲时空中的一个粒子状态

Minkowski时空中对量子场论状态的传统粒子解释依赖于Minkowski时空对称性,即庞加莱群升至希尔伯特空间。我们认为,温伯格对Minkowski时空中的粒子和相互作用的方法利用了Hilbert空间中与时空对称无关的不均匀Lorentz变换的表示形式。因此,它为一般的非平稳弯曲时空中的状态提供了粒子解释。我们给出了支持该论证的标量,旋量和矢量场的拉格朗日数,并表明这些经典场有助于宇宙常数。
更新日期:2020-10-07
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