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arXiv 2004.10111gr-qchep-th
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宇宙学量子纠缠:Kalb-Ramond场存在的一个可能的实验平台

Cosmological quantum entanglement : A possible testbed for the existence of Kalb-Ramond field

Tanmoy Paul, Narayan Banerjee

摘要:

本文研究了在四维FRW时空中传播的大质量标量场通过对称反弹演化时,二阶反对称张量场Kalb-Ramond(KR)场对宇宙粒子产生和量子纠缠的可能影响.为此,标量场被认为是与KR场耦合的,并且还通过项$\sim ξRΦ^2$与里奇标量耦合(其中$ξ$是耦合)。KR场的存在破坏了无质量标量场的共形对称性,即使对于四维背景下的$ξ= 1/6$也是如此,这对粒子的产生和量子纠缠有着有趣的影响,我们将讨论这一点。特别地,在FRW跳跃宇宙中KR场的存在允许更大的粒子产生,因此纠缠熵的上界比KR场不存在的情况更大.这可能为我们的宇宙中是否存在Kalb-Ramond场提供了一个有趣的实验平台。

英文摘要:

In the present paper, we explore the possible effects of a second rank antisymmetric tensor field, known as Kalb-Ramond (KR) field, on cosmological particle production as well as on quantum entanglement for a massive scalar field propagating in a four dimensional FRW spacetime evolves through a symmetric bounce. For this purpose, the scalar field is considered to be coupled with the KR field and also with the Ricci scalar via the term $\sim ξRΦ^2$ (with $ξ$ be the coupling). The presence of KR field spoils the conformal symmetry of a massless scalar field even for $ξ= 1/6$ in four dimensional context, which has interesting consequences on particle production and consequently on quantum entanglement as we will discuss. In particular, the presence of KR field in a FRW bouncing universe allows a greater particle production and consequently the upper bound of the entanglement entropy becomes larger in comparison to the case when the KR field is absent. This may provide an interesting testbed for the existence of Kalb-Ramond field in our universe.

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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