arXiv 1111.55532011-11hep-thgr-qchep-ph

φ ^4 kappa-Minkowski模型中的标量场传播

Scalar field propagation in the phi^4 kappa-Minkowski model

S. Meljanac, A. Samsarov, J. Trampetic, M. Wohlgenannt

备注：: 23 pages, 2 figures; To be published in JHEP. Minor typos corrected. Shorter version of the paper arXiv:1107.2369
DOI：: 10.1007/JHEP12(2011)010

摘要：

在这篇文章中，我们使用基于卡帕变形星积（{*}_h）的非对易（NC）卡帕-闵可夫斯基φ ^4模型。通过将卡帕变形参数a扩展到线性阶来修改作用量，从而产生一个有效的可交换时空模型。为了计算蝌蚪图对标量场传播/自能的贡献，我们预计kappa-Minkowski的统计是特别kappa变形的。因此，我们的处方实际上代表了标准量子场论（QFT）和NCQFT之间的混合方法对卡帕变形的闵可夫斯基时空，导致卡帕有效的模型。的传播进行了分析的两点格林函数的框架中的低，中间，和普朗克传播能量，分别。由于κ变形动量守恒定律，一阶量子修正的半经典/混合行为确实出现。对于低能量，蝌蚪的贡献上的变形参数a的依赖完全下降，而普朗克能量，它往往是一个固定的有限值。标量场的质量项发生了位移，并且这些位移在不同的传播能量下有很大的不同。在普朗克能量下，我们得到了方向相关的kappa修正色散关系。因此，我们的大质量标量场的卡帕有效模型显示了双折射效应。

英文摘要：

In this article we use the noncommutative (NC) kappa-Minkowski phi^4 model based on the kappa-deformed star product, ({*}_h). The action is modified by expanding up to linear order in the kappa-deformation parameter a, producing an effective model on commutative spacetime. For the computation of the tadpole diagram contributions to the scalar field propagation/self-energy, we anticipate that statistics on the kappa-Minkowski is specifically kappa-deformed. Thus our prescription in fact represents hybrid approach between standard quantum field theory (QFT) and NCQFT on the kappa-deformed Minkowski spacetime, resulting in a kappa-effective model. The propagation is analyzed in the framework of the two-point Green's function for low, intermediate, and for the Planckian propagation energies, respectively. Semiclassical/hybrid behavior of the first order quantum correction do show up due to the kappa-deformed momentum conservation law. For low energies, the dependence of the tadpole contribution on the deformation parameter a drops out completely, while for Planckian energies, it tends to a fixed finite value. The mass term of the scalar field is shifted and these shifts are very different at different propagation energies. At the Planckian energies we obtain the direction dependent kappa-modified dispersion relations. Thus our kappa-effective model for the massive scalar field shows a birefringence effect.

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。

摘要：

英文摘要：

相关论文