Gauge invariance and background field formalism in the exact renormalisation group

被引:92
|
作者
Freire, F [1 ]
Litim, DF
Pawlowski, JM
机构
[1] NUI, Dept Math Phys, Maynooth, Kildare, Ireland
[2] Dublin Inst Adv Studies, Sch Theoret Phys, Dublin 4, Ireland
[3] Inst Theoret Phys, D-69120 Heidelberg, Germany
关键词
D O I
10.1016/S0370-2693(00)01231-4
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We discuss gauge symmetry and Ward-Takahashi identities for Wilsonian flows in pure Yang-Mills theories. The background field formalism is used for the construction of a gauge invariant effective action. The symmetries of the effective action under gauge transformations for both the gauge field and the auxiliary background field are separately evaluated. We examine how the symmetry properties of the full theory are restored in the limit where the cut-off is removed. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:256 / 262
页数:7
相关论文
共 50 条
  • [1] On gauge invariance and ward identities for the Wilsonian Renormalisation Group
    Litim, DF
    Pawlowski, JM
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1999, 74 : 325 - 328
  • [2] BACKGROUND GAUGE-INVARIANCE IN THE ANTI-FIELD FORMALISM FOR THEORIES WITH OPEN GAUGE ALGEBRAS
    SKENDERIS, K
    CLASSICAL AND QUANTUM GRAVITY, 1995, 12 (10) : 2487 - 2498
  • [3] A gauge invariant exact renormalisation group. (I)
    Morris, TR
    NUCLEAR PHYSICS B, 2000, 573 (1-2) : 97 - 126
  • [4] Gauge (in)dependence and background field formalism
    Lavrov, Peter M.
    PHYSICS LETTERS B, 2019, 791 : 293 - 298
  • [5] Background independent exact renormalisation
    Kevin Falls
    The European Physical Journal C, 2021, 81
  • [6] Background independent exact renormalisation
    Falls, Kevin
    EUROPEAN PHYSICAL JOURNAL C, 2021, 81 (02):
  • [7] Renormalisation group improvement in the stochastic formalism
    Hardwick, Robert J.
    Markkanen, Tommi
    Nurmi, Sami
    JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS, 2019, (09):
  • [8] SOME ASPECTS OF THE HOMOGENEOUS FORMALISM IN FIELD THEORY AND GAUGE INVARIANCE
    Palese, Marcella
    Winterroth, Ekkehart
    ARCHIVUM MATHEMATICUM, 2006, 42 : 319 - 327
  • [9] Optimisation of the exact renormalisation group
    Litim, DF
    PHYSICS LETTERS B, 2000, 486 (1-2) : 92 - 99
  • [10] Renormalization group invariance of exact results in supersymmetric gauge theories
    Arkani-Hamed, N
    Murayama, H
    PHYSICAL REVIEW D, 1998, 57 (11) : 6638 - 6648