含宇宙学常数的四维自旋泡沫模型中的Melonic辐射修正
Melonic Radiative Correction in Four-Dimensional Spinfoam Model with Cosmological Constant
AI总结：
本文证明含非零宇宙学常数的四维自旋泡沫模型在melon图上的melonic辐射修正是有限的，并分析了小宇宙学常数极限下的标度行为。
摘要：
红外发散是宇宙学常数为零的自旋泡沫模型的常见特征，但预期在宇宙学常数非零时消失。本文研究了arXiv:2109.00034中引入的含宇宙学常数的自旋泡沫振幅在melon图上的表现，即所谓的melonic辐射修正。该振幅与复Chern-Simons理论的状态积分模型密切相关。我们证明了在宇宙学常数非零的情况下，melonic辐射修正是有限的，这与宇宙学常数为零的自旋泡沫模型的红外发散形成对比。此外，我们还分析了在小宇宙学常数极限下辐射修正的标度行为。
英文摘要：
Infrared divergence is a common feature of spinfoam models with a vanishing cosmological constant but is expected to disappear in presence of a non-vanishing cosmological constant. In this paper, we investigate the spinfoam amplitude with cosmological constant introduced in arXiv:2109.00034 on the melon graph, which is known as the melonic radiative correction. The amplitude closely relates to the state-integral model of complex Chern-Simons theory. We prove that the melonic radiative correction is finite in presence of a non-vanishing cosmological constant, in contrast to the infrared divergence of spinfoam models with a vanishing cosmological constant. In addition, we also analyze the scaling behavior of the radiative correction in the limit of small cosmological constant.
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。
