使用背景场方法和截止正则化对具有四元相互作用的四维标量模型进行量子作用的三环重正则化

IF 2.5 3区物理与天体物理 Q2 PHYSICS, PARTICLES & FIELDS

Nuclear Physics B Pub Date : 2024-07-30 DOI:10.1016/j.nuclphysb.2024.116647

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引用次数: 0

摘要

本文利用背景场方法研究了四维实理论一般表述情况下的量子作用。利用坐标表示中的截止正则化进行了三环重正则化。此外，还讨论了非局部奇异贡献的缺失以及在独立三环图示例中正态化操作的正确性。还给出了重正化常数和函数的前三个系数的显式。显示了与之前已知结果的一致性。

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Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization

The paper studies the quantum action for the four-dimensional real $ϕ^{4}$ -theory in the case of a general formulation using the background field method. The three-loop renormalization is performed with the usage of a cutoff regularization in the coordinate representation. The absence of non-local singular contributions and the correctness of the renormalization $R$ -operation on the example of separate three-loop diagrams are also discussed. The explicit forms of the first three coefficients for the renormalization constants and for the β-function are presented. Consistency with previously known results is shown.

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来源期刊

Nuclear Physics B 物理-物理：粒子与场物理

CiteScore

5.50

自引率

7.10%

发文量

302

审稿时长

1 months

期刊介绍： Nuclear Physics B focuses on the domain of high energy physics, quantum field theory, statistical systems, and mathematical physics, and includes four main sections: high energy physics - phenomenology, high energy physics - theory, high energy physics - experiment, and quantum field theory, statistical systems, and mathematical physics. The emphasis is on original research papers (Frontiers Articles or Full Length Articles), but Review Articles are also welcome.