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arXiv 2403.16166hep-th
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所有圈图下的德西特:Schwinger模型的故事

de Sitter at all loops: the story of the Schwinger model

Dionysios Anninos, Tarek Anous, Alan Rios Fukelman

AI总结:

本文研究德西特背景下的二维Schwinger模型,用欧几里得方法计算非微扰规范不变关联函数,对比微扰结果验证单圈贡献一致性,展示德西特空间量子场论的多种固有特征。

摘要:

我们研究固定德西特背景下,无质量带电费米子与阿贝尔规范场耦合的二维Schwinger模型。该理论存在精确解,最早由Jayewardena研究,可使用欧几里得方法高效分析。我们计算了电场以及费米子的完全非微扰、规范不变关联函数,并分析了这些关联函数的晚期极限。我们将这些结果与微扰图像进行对比,例如验证了精确解预测的费米子两点函数的单圈贡献,与单圈费曼图的直接计算结果相符。我们展示了德西特空间量子场论的诸多固有特征,包括晚期对数项的出现、它们被重求和为德西特不变表达式,以及玻尔兹曼抑制的非微扰现象,这些现象具有令人惊讶的晚期特征。

英文摘要:

We consider the two-dimensional Schwinger model of a massless charged fermion coupled to an Abelian gauge field on a fixed de Sitter background. The theory admits an exact solution, first examined by Jayewardena, and can be analyzed efficiently using Euclidean methods. We calculate fully non-perturbative, gauge-invariant correlation functions of the electric field as well as the fermion and analyze these correlators in the late-time limit. We compare these results with the perturbative picture, for example by verifying that the one-loop contribution to the fermion two-point function, as predicted from the exact solution, matches the direct computation of the one-loop Feynman diagram. We demonstrate many features endemic of quantum field theory in de Sitter space, including the appearance of late-time logarithms, their resummation to de Sitter invariant expressions, and Boltzmann suppressed non-perturbative phenomena, with surprising late-time features.

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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