真空集成：紫外线和红外线分歧

IF 0.4 Q4 PHYSICS, PARTICLES & FIELDS

Physics of Particles and Nuclei Letters Pub Date : 2024-03-12 DOI:10.1134/S1547477124010023

I. V. Anikin

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引用次数: 0

摘要

摘要在这篇论文中，我们介绍了有关无质量真空积分的重要细节，这些细节在文献中没有概述。特别是，我们已经证明了 delta 函数是如何代表紫外区（UV-regime）或红外区（IR-regime）的。在真空积分的情况下，我们主张对奇异生成的函数（分布）使用序列方法。顺序法在许多实际应用中都非常有用，特别是在有效势法中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Vacuum Integration: UV- and IR-Divergencies

In this note we present the important details regarding the massless vacuum integrations which are not outlined in the literature. In particular, it has been shown how the delta-function represents either UV‑regime or IR-regime. In the case of vacuum integration, we advocate the use of sequential approach to the singular generated functions (distributions). The sequential approach is extremely useful for many practical applications, in particular, in the effective potential method.

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来源期刊

Physics of Particles and Nuclei Letters PHYSICS, PARTICLES & FIELDS-

CiteScore

0.80

自引率

20.00%

发文量

108

期刊介绍： The journal Physics of Particles and Nuclei Letters, brief name Particles and Nuclei Letters, publishes the articles with results of the original theoretical, experimental, scientific-technical, methodological and applied research. Subject matter of articles covers: theoretical physics, elementary particle physics, relativistic nuclear physics, nuclear physics and related problems in other branches of physics, neutron physics, condensed matter physics, physics and engineering at low temperatures, physics and engineering of accelerators, physical experimental instruments and methods, physical computation experiments, applied research in these branches of physics and radiology, ecology and nuclear medicine.