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arXiv 1502.01230hep-thnucl-th
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前光真空

The Light-Front Vacuum

Marc Herrmann, Wayne Polyzou

摘要:

工作背景:量子场论的光阵面表象中的真空是平凡的,而同一理论的等价正则表象中的真空是非平凡的。目的:理解光阵面中的真空与量子场论的正则表象之间的关系,以及零模在这种关系中的作用。方法:将域算子定义为域算子代数上的线性泛函。利用代数在真空定义中的作用来理解这种关系。结果:真空泛函可以从光阵面Fock代数推广到局部可观量代数。局部可观量代数的扩展是造成这种不等价性的原因。该扩展定义了局部代数的物理表示和光前Fock代数的子代数之间的酉映射。结论:从局部可观测量代数的物理表示到具有自由光阵面Fock真空的光阵面Fock代数的子代数存在幺正映射。动力学表现在子代数的映射和结构上。这种对应提供了一个公式的局部性和庞加莱不变性的光前福克空间。

英文摘要:

Background: The vacuum in the light-front representation of quantum field theory is trivial while vacuum in the equivalent canonical representation of the same theory is non-trivial. Purpose: Understand the relation between the vacuum in light-front and canonical representations of quantum field theory and the role of zero-modes in this relation. Method: Vacuua are defined as linear functionals on an algebra of field operators. The role of the algebra in the definition of the vacuum is exploited to understand this relation. Results: The vacuum functional can be extended from the light-front Fock algebra to an algebra of local observables. The extension to the algebra of local observables is responsible for the inequivalence. The extension defines a unitary mapping between the physical representation of the local algebra and a sub-algebra of the light-front Fock algebra. Conclusion: There is a unitary mapping from the physical representation of the algebra of local observables to a sub-algebra of the light-front Fock algebra with the free light-front Fock vacuum. The dynamics appears in the mapping and the structure of the sub-algebra. This correspondence provides a formulation of locality and Poincaré invariance on the light-front Fock space.

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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