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arXiv 0801.0810hep-thastro-phgr-qchep-ph
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非对易场气体驱动暴胀

Noncommutative field gas driven inflation

Luciano Barosi, Francisco A. Brito, Amilcar R. Queiroz

摘要:

本文研究了在高温下充满非对易玻色子气体的宇宙中的早期暴胀现象。非对易玻色气体是指在对易时空中由玻色标量场和非对易场空间组成的气体。这种非对易场论是最近作为量子力学在非对易时空上的推广而引入的。这些理论的主要特征是洛伦兹不变性破坏和CPT破坏。在本研究中,我们使用的非对易玻色子场理论,除了非对易参数$θ$显示了另一个参数$σ$。该参数$σ$控制非对易性的范围,并作为理论的调节器。这两个参数在非对易玻色子场的修正色散关系中起着关键作用,可能导致现象学的惊人后果。本文得到了高温极限下非对易玻色子气体的状态方程$p=ω(σ,θ;β)ρ$,它与压力$p$和能量密度$ρ$有关。我们分析了这种气体参数$σ$,$θ$和$β$的可能行为,因此$-1\leqω<-1/3$,这是宇宙进入加速阶段的区域。

英文摘要:

We investigate early time inflationary scenarios in an Universe filled with a dilute noncommutative bosonic gas at high temperature. A noncommutative bosonic gas is a gas composed of bosonic scalar field with noncommutative field space on a commutative spacetime. Such noncommutative field theories was recently introduced as a generalization of quantum mechanics on a noncommutative spacetime. As key features of these theories are Lorentz invariance violation and CPT violation. In the present study we use a noncommutative bosonic field theory that besides the noncommutative parameter $θ$ shows up a further parameter $σ$. This parameter $σ$ controls the range of the noncommutativity and acts as a regulator for the theory. Both parameters play a key role in the modified dispersion relations of the noncommutative bosonic field, leading to possible striking consequences for phenomenology. In this work we obtain an equation of state $p=ω(σ,θ;β)ρ$ for the noncommutative bosonic gas relating pressure $p$ and energy density $ρ$, in the limit of high temperature. We analyse possible behaviours for this gas parameters $σ$, $θ$ and $β$, so that $-1\leqω<-1/3$, which is the region where the Universe enters an accelerated phase.

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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