Renormalization on the DFR quantum spacetime

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Reviews in Mathematical Physics Pub Date : 2024-05-08 DOI:10.1142/s0129055x24600055

Juan F. López, Andrés F. Reyes-Lega

引用次数: 0

Abstract

An approach to renormalization of scalar fields on the Doplicher–Fredenhagen–Roberts (DFR) quantum spacetime is presented. The effective nonlocal theory obtained through the use of states of optimal localization for the quantum spacetime is reformulated in the language of (perturbative) Algebraic Quantum Field Theory. The structure of the singularities associated to the nonlocal kernel that codifies the effects of non-commutativity is analyzed using the tools of microlocal analysis.

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DFR 量子时空的重正化

本文提出了一种在多普勒-弗里登哈根-罗伯茨（DFR）量子时空中对标量场进行重正化的方法。用（微扰）代数量子场论的语言重新表述了通过使用量子时空最优局域化状态获得的有效非局域理论。使用微局域分析工具分析了与编码非交换性效应的非局域核相关的奇点结构。

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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来源期刊

Reviews in Mathematical Physics 物理-物理：数学物理

CiteScore

3.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Reviews in Mathematical Physics fills the need for a review journal in the field, but also accepts original research papers of high quality. The review papers - introductory and survey papers - are of relevance not only to mathematical physicists, but also to mathematicians and theoretical physicists interested in interdisciplinary topics. Original research papers are not subject to page limitations provided they are of importance to this readership. It is desirable that such papers have an expository part understandable to a wider readership than experts. Papers with the character of a scientific letter are usually not suitable for RMP.