Two-loop cutoff renormalization of 4-D Yang-Mills effective action

被引：8
|
作者：
Ivanov, A., V [1 ,2 ]
Kharuk, N., V [1 ,2 ,3 ]
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
[3] ITMO Univ, St Petersburg 197101, Russia
来源：
JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS | 2020年 / 48卷 / 01期
关键词：
effective action; cutoff regularization; Yang– Mills theory; coupling constant; Gell-Mann– Low equation; renormalization; beta-function; BETA-FUNCTION; QUANTUM-THEORY; REGULARIZATION; APPROXIMATION; DIAGRAMS; GRAVITY;
D O I：
10.1088/1361-6471/abb939
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
In the paper we study the Yang-Mills effective action in the four-dimensional spacetime by using background field formalism. We give an explicit way of cutoff regularization procedure, then do a two-loop renormalization and calculate a second beta-function coefficient. We also show that the two-loop singularity contains only logarithmic part in the first degree. At the same time additional properties of a Green function regular part are obtained.
引用
收藏
页数：25
相关论文
共 50 条
  • [1] Formula for two-loop divergent part of 4-D Yang-Mills effective action
    Ivanov, A., V
    Kharuk, N., V
    EUROPEAN PHYSICAL JOURNAL C, 2022, 82 (11):
  • [2] Formula for two-loop divergent part of 4-D Yang–Mills effective action
    A. V. Ivanov
    N. V. Kharuk
    The European Physical Journal C, 82
  • [3] On the Yang-Mills two-loop effective action with worldline methods
    Pawlowski, Jan M.
    Schmidt, Michael G.
    Zhang, Jian-Hui
    PHYSICS LETTERS B, 2009, 677 (1-2) : 100 - 108
  • [4] Two-loop RGE of a general renormalizable Yang-Mills theory in a renormalization scheme with an explicit UV cutoff
    Piotr H. Chankowski
    Adrian Lewandowski
    Krzysztof A. Meissner
    Journal of High Energy Physics, 2016
  • [5] Two-loop RGE of a general renormalizable Yang-Mills theory in a renormalization scheme with an explicit UV cutoff
    Chankowki, Piotr H.
    Lewandowski, Adrian
    Meissner, Krzysztof A.
    JOURNAL OF HIGH ENERGY PHYSICS, 2016, (11):
  • [6] The two-loop hexagon Wilson loop in N=4 Super Yang-Mills
    Duhr, Claude
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2010, 205-06 : 199 - 204
  • [7] Two-loop rational terms in Yang-Mills theories
    Jean-Nicolas Lang
    Stefano Pozzorini
    Hantian Zhang
    Max F. Zoller
    Journal of High Energy Physics, 2020
  • [8] Two-loop rational terms in Yang-Mills theories
    Lang, Jean-Nicolas
    Pozzorini, Stefano
    Zhang, Hantian
    Zoller, Max F.
    JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (10)
  • [9] Two-loop static potential in N=4 supersymmetric Yang-Mills theory
    Prausa, Mario
    Steinhauser, Matthias
    PHYSICAL REVIEW D, 2013, 88 (02):
  • [10] Two-loop Yang-Mills diagrams from superstring amplitudes
    Magnea, Lorenzo
    Playle, Sam
    Russo, Rodolfo
    Sciuto, Stefano
    JOURNAL OF HIGH ENERGY PHYSICS, 2015, (06):
12345