Three-loop verification of a new algorithm for the calculation of a β-function in supersymmetric theories regularized by higher derivatives for the case of N=1 SQED

被引：13

作者：

Aleshin, S. S. ^{[1
]}

Durandina, I. S. ^{[2
]}

Kolupaev, D. S. ^{[2
]}

Korneev, D. S. ^{[3
]}

Kuzmichev, M. D. ^{[2
]}

Meshcheriakov, N. P. ^{[2
]}

Novgorodtsev, S. V. ^{[2
]}

Petrov, I. A. ^{[2
]}

Shatalova, V. V. ^{[2
]}

Shirokov, I. E. ^{[2
]}

Shirokova, V. Yu. ^{[2
]}

Stepanyantz, K. V. ^{[2
]}

机构：

[1] Inst Informat Transmiss Problems, Moscow 127051, Russia

[2] Moscow MV Lomonosov State Univ, Dept Theoret Phys, Fac Phys, Moscow 119991, Russia

[3] Rhein Westfal TH Aachen, Fac Math Comp Sci & Nat Sci, Inst Theoret Particle Phys & Cosmol, D-52062 Aachen, Germany

来源：

NUCLEAR PHYSICS B | 2020年 / 956卷

关键词：

MANN-LOW FUNCTION; YANG-MILLS THEORIES; N-F FLAVORS; GAUGE-THEORIES; NSVZ RELATION; INVARIANT REGULARIZATION; ANOMALOUS DIMENSION; RENORMALIZATION; SCHEME;

D O I：

10.1016/j.nuclphysb.2020.115020

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：

We verify a recently proposed method for obtaining a beta-function of N = 1 supersymmetric gauge theories regularized by higher derivatives by an explicit calculation. According to this method, a beta-function can be found by calculating specially modified vacuum supergraphs instead of a much larger number of the two-point superdiagrams. The result is produced in the form of a certain integral of double total derivatives with respect to the loop momenta. Here we compare the results obtained for the three-loop beta-function of N = 1 SQED in the general xi-gauge with the help of this method and with the help of the standard calculation. Their coincidence confirms the correctness of the new method and the general argumentation used for its derivation. Also we verify that in the considered approximation the NSVZ relation is valid for the renormalization group functions defined in terms of the bare coupling constant and for the ones defined in terms of the renormalized coupling constant in the HD+MSL scheme, both its sides being gauge-independent. (C) 2020 The Author(s). Published by Elsevier B.V.

引用

页数：20

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