On two-loop effective action of 2d sigma model

被引:2
|
作者
Akacevich, P. V. [1 ,2 ]
Ivanov, A. V. [1 ,2 ]
机构
[1] Russian Acad Sci, Steklov Math Inst, St Petersburg Dept, 27 Fontanka, St Petersburg 191023, Russia
[2] Leonhard Euler Int Math Inst, 10 Pesochnaya Nab, St Petersburg 197022, Russia
来源
EUROPEAN PHYSICAL JOURNAL C | 2023年 / 83卷 / 07期
关键词
HEAT KERNEL; QUANTUM-THEORY; GAUGE; RENORMALIZATION; DIMENSIONS; REGULARIZATION; GRAVITY; MATRIX;
D O I
10.1140/epjc/s10052-023-11797-0
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
In this paper, we study two-loop contribution to the effective action of a two-dimensional non-linear sigma model. We derive a new formula, which can be applicable to a regularization of general type. As examples, we obtain known results for the dimensional regularization and investigate new types of a cutoff one. Also, we discuss non-local contributions and restrictions on the regularization.
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页数:8
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