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arXiv 1804.09403gr-qchep-th
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Unruh情形下Rindler与Minkowski量子场论的严格关系

The Rigorous Relation between Rindler and Minkowski Quantum Field Theory in the Unruh Scenario

Manfred Requardt

摘要:

传统上,Unruh效应的物理学,即q.f.t.在Minkowski空间中的楔形中的$W_R$或$W_L$与Rindler Fock空间中的物理学相关,这是一种proplematic策略。在一个仔细的分析,我们表明,正确的对偶q.f.t.的生活,而在热林德勒希尔伯特空间,原来是酉等价于相应的闵可夫斯基空间理论,在对比林德勒福克空间理论。我们特别表明,在热林德勒希尔伯特空间中出现了一种新的对象,即,热Rindler准粒子和空穴的准粒子/空穴产生/湮灭算子,它们在Rindler Fock空间中没有悬挂物。普通的林德勒粒子算符是这些更基本的算符的某些依赖于温度的叠加。这些新的对象在这种对偶性中起着至关重要的作用,并且通过酉等价在闵可夫斯基q.f.t.中确实有它们的对应物。

英文摘要:

Traditionally the physics of the Unruh effect, i.e. the q.f.t. in the wedges $W_R$ or $W_L$ in Minkowski space is related to the physics in the Rindler Fock space, which is a proplematical strategy. In a careful analysis we show that the correct dual q.f.t. lives rather in the thermal Rindler Hilbert space and turns out to be unitarily equivalent to the corresponding Minkowski space theory in contrast to the Rindler Fock space theory. We show in particular that in thermal Rindler Hilbert space a new sort of objects occurs, viz., quasi-particle/hole creation/annihilation operators of thermal Rindler quasi-particles and holes, which do not have a pendant in Rindler Fock space. The ordinary Rindler particle operators are certain temperature dependent superpositions of these more fundamental operators. These new objects play a crucial role in this duality and via the unitary equivalence do have their counterparts in Minkowski q.f.t.

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