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arXiv 1005.4666hep-thgr-qc
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Moyal时空中的均匀加速观测器

Uniformly Accelerated Observer in Moyal Spacetime

Nirmalendu Acharyya, Sachindeo Vaidya

摘要:

在闵可夫斯基空间中,加速参考系可以定义为通过一系列瞬时洛伦兹变换与惯性系相关的参考系。这样一个加速的观察者看到一个因果视界,惯性观察者的量子真空对加速的观察者来说是热的,也被称为安鲁效应。我们认为,在非对易的Moyal时空中,一个加速的坐标系也可以被类似地定义(即作为一系列瞬时的洛伦兹变换),并讨论了适合于这种加速观测者的扭曲量子场论。我们的分析表明,在非对易时空的情况下,有几个新的特点:手征无质量场在$(1+1)$维有一个定性不同的行为相比,有质量的字段。此外,惯性观测者的真空不再是加速观测者的平衡热态,玻色-爱因斯坦分布获得了$θ$相关的修正。

英文摘要:

In Minkowski space, an accelerated reference frame may be defined as one that is related to an inertial frame by a sequence of instantaneous Lorentz transformations. Such an accelerated observer sees a causal horizon, and the quantum vacuum of the inertial observer appears thermal to the accelerated observer, also known as the Unruh effect. We argue that an accelerating frame may be similarly defined (i.e. as a sequence of instantaneous Lorentz transformations) in noncommutative Moyal spacetime, and discuss the twisted quantum field theory appropriate for such an accelerated observer. Our analysis shows that there are several new features in the case of noncommutative spacetime: chiral massless fields in $(1+1)$ dimensions have a qualitatively different behavior compared to massive fields. In addition, the vacuum of the inertial observer is no longer an equilibrium thermal state of the accelerating observer, and the Bose-Einstein distribution acquires $θ$-dependent corrections.

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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