Gauge dependence and multiplicative renormalization of Yang-Mills theory with matter fields

被引：11
作者：
Batalin, Igor A. [1 ,2 ]
Lavrov, Peter M. [2 ,3 ,4 ]
Tyutin, Igor V. [1 ,2 ]
机构：
[1] Phys Inst, Leninsky Prospect 53, Moscow 119991, Russia
[2] Tomsk State Pedag Univ, Kievskaya St 60, Tomsk 634061, Russia
[3] Natl Res Tomsk State Univ, Lenin Av 36, Tomsk 634050, Russia
[4] Univ Fed Juiz de Fora, Dept Fis, ICE, Campus Univ Juiz de Fora, BR-36036900 Juiz De Fora, MG, Brazil
来源：
EUROPEAN PHYSICAL JOURNAL C | 2019年 / 79卷 / 07期
关键词：
INVARIANCE;
D O I：
10.1140/epjc/s10052-019-7142-4
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 the paper, within the background field method, the renormalization and the gauge dependence is studied as for an SU(2) Yang-Mills theory with multiplets of spinor and scalar fields. By extending the quantum action of the BV-formalism with an extra fermion vector field and a constant fermion parameter, the multiplicative character of the renormalizability is proven. The renormalization of all the physical parameters of the theory under consideration is shown to be gauge-independent.
引用
收藏
页数：17
相关论文
共 37 条
  • [1] THE BACKGROUND FIELD METHOD BEYOND ONE LOOP
    ABBOTT, LF
    [J]. NUCLEAR PHYSICS B, 1981, 185 (01) : 189 - 203
  • [2] GENERATING FUNCTIONAL FOR THE S MATRIX IN GAUGE-INVARIANT THEORIES
    Aref'eva, I. Ya
    Slavnov, A. A.
    Faddeev, L. D.
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1974, 21 (03) : 1165 - 1172
  • [3] GENERATING FUNCTIONAL FOR THE S MATRIX IN GAUGE-INVARIANT THEORIES
    Aref'eva, I. Ya
    Slavnov, A. A.
    Faddeev, L. D.
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1974, 21 (03) : 1165 - 1172
  • [4] Renormalization of gauge theories in the background-field approach
    Barvinsky, Andrei O.
    Blas, Diego
    Herrero-Valea, Mario
    Sibiryakov, Sergey M.
    Steinwachs, Christian F.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2018, (07):
  • [5] QUANTIZATION OF GAUGE-THEORIES WITH LINEARLY DEPENDENT GENERATORS
    BATALIN, IA
    VILKOVISKY, GA
    [J]. PHYSICAL REVIEW D, 1983, 28 (10): : 2567 - 2582
  • [6] GAUGE ALGEBRA AND QUANTIZATION
    BATALIN, IA
    VILKOVISKY, GA
    [J]. PHYSICS LETTERS B, 1981, 102 (01) : 27 - 31
  • [7] Multiplicative renormalization of Yang-Mills theories in the background-field formalism
    Batalin, Igor A.
    Lavrov, Peter M.
    Tyutin, Igor V.
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2018, 78 (07):
  • [8] ABELIAN HIGGS KIBBLE MODEL, UNITARITY OF S-OPERATOR
    BECCHI, C
    ROUET, A
    STORA, R
    [J]. PHYSICS LETTERS B, 1974, B 52 (03) : 344 - 346
  • [9] RENORMALIZATION OF GAUGE THEORIES
    BECCHI, C
    ROUET, A
    STORA, R
    [J]. ANNALS OF PHYSICS, 1976, 98 (02) : 287 - 321
  • [10] Renormalization of six-dimensional Yang-Mills theory in a background gauge field
    Brandt, F. T.
    Frenkel, J.
    McKeon, D. G. C.
    [J]. PHYSICAL REVIEW D, 2019, 99 (02)
1234