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

被引：2

作者：

Ivanov, Aleksandr 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：

NUCLEAR PHYSICS B | 2024年 / 1006卷

关键词：

Renormalization; Renormalization constant; Cutoff regularization; Scalar model; Green's function; Quantum action; Quantum equation of motion; Feynman diagram; Three loops; Effective action; Cutoff momentum; Heat kernel; Deformation; Quartic interaction; COVARIANT DERIVATIVE REGULARIZATION; YANG-MILLS THEORY; DIMENSIONAL REGULARIZATION; IMPLICIT REGULARIZATION; GAUGE; DEPENDENCE; DIAGRAMS; GRAVITY;

D O I：

10.1016/j.nuclphysb.2024.116647

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：

The paper studies the quantum action for the four-dimensional real phi(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 beta-function are presented. Consistency with previously known results is shown.

引用

页数：60