论文标题

宇宙学量子纠缠:可能存在Kalb-Ramond场的测试床

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

论文作者

Paul, Tanmoy, Banerjee, Narayan

论文摘要

在本文中,我们探讨了第二等级的反对称张量场(称为KALB-RAMOND(KR)场)对宇宙学粒子产生以及量子纠缠的可能影响,以通过对称反弹通过对称的四维FRW Spacetime在四维的FRW Spacetime中传播的量子纠缠。为此,标量字段被认为与KR字段相结合,也被认为与RICCI标量通过$ \ simξrφ^2 $(有$ξ$为耦合)。 KR场的存在破坏了无质量标量场的共形对称性,即使在四维环境中$ξ= 1/6 $,这对粒子产生产生了有趣的后果,因此对量子纠缠产生了有趣的后果。特别是,与不存在KR场相比,FRW弹跳宇宙中KR场的存在允许更大的颗粒产生,因此,纠缠熵的上限变得更大。这可能为我们宇宙中的Kalb-Ramond田地存在提供了一个有趣的测试。

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.

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