arXiv 1806.044322018-06-12hep-phhep-thnucl-th

重整化群相容性与低能有效理论

Renormalization group consistency and low-energy effective theories

Jens Braun, Marc Leonhardt, Jan M. Pawlowski

备注：: 18 pages, 5 figures

摘要：

低能有效理论已经非常成功地用于研究QCD的低能极限，为我们提供了从束缚态形成到QCD中的相变的大量现象的结果。这些理论本身就是自洽的量子场论，可以嵌入QCD中，但通常有一个物理紫外截止，限制了它们的有效范围。本文讨论了重整化群相容性的概念，旨在分析低能有效理论研究中的截断效应和正则化方案依赖性。为了说明，我们的研究结果适用于低能有效模型的QCD在不同的近似，包括平均场近似。更具体地说，我们认为热和密集以及有限的系统，并证明违反重整化群的一致性显着影响相应的模型计算的预测能力。

英文摘要：

Low-energy effective theories have been used very successfully to study the low-energy limit of QCD, providing us with results for a plethora of phenomena, ranging from bound-state formation to phase transitions in QCD. These theories are consistent quantum field theories by themselves and can be embedded in QCD, but typically have a physical ultraviolet cutoff that restricts their range of validity. Here, we provide a discussion of the concept of renormalization group consistency, aiming at an analysis of cutoff effects and regularization-scheme dependences in general studies of low-energy effective theories. For illustration, our findings are applied to low-energy effective models of QCD in different approximations including the mean-field approximation. More specifically, we consider hot and dense as well as finite systems and demonstrate that violations of renormalization group consistency affect significantly the predictive power of the corresponding model calculations.

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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英文摘要：

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