Dimensional Regularization and Renormalization of Non-Commutative Quantum Field Theory

被引:0
|
作者
Razvan Gurău
Adrian Tanasă
机构
[1] Université Paris XI,Laboratoire de Physique Théorique
来源
Annales Henri Poincaré | 2008年 / 9卷
关键词
Hopf Algebra; Parametric Representation; Vertex Versus; Dimensional Regularization; Root Vertex;
D O I
暂无
中图分类号
学科分类号
摘要
Using the recently introduced parametric representation of noncommutative quantum field theory, we implement here the dimensional regularization and renormalization of the vulcanized \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Phi^{*4}_{4}$$\end{document} model on the Moyal space.
引用
收藏
页码:655 / 683
页数:28
相关论文
共 50 条
  • [1] Dimensional regularization and renormalization of non-commutative quantum field theory
    Gurau, Razvan
    Tanasa, Adrian
    [J]. ANNALES HENRI POINCARE, 2008, 9 (04): : 655 - 683
  • [2] Renormalization of non-commutative Φ44 field theory in x space
    Gurau, Razvan
    Magnen, Jacques
    Rivasseau, Vincent
    Vignes-Tourneret, Fabien
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2006, 267 (02) : 515 - 542
  • [3] On the renormalization of non-commutative field theories
    Daniel N. Blaschke
    Thomas Garschall
    François Gieres
    Franz Heindl
    Manfred Schweda
    Michael Wohlgenannt
    [J]. The European Physical Journal C, 2013, 73
  • [4] BPHZ renormalization and its application to non-commutative field theory
    Daniel N. Blaschke
    François Gieres
    Franz Heindl
    Manfred Schweda
    Michael Wohlgenannt
    [J]. The European Physical Journal C, 2013, 73
  • [5] On the renormalization of non-commutative field theories
    Blaschke, Daniel N.
    Garschall, Thomas
    Gieres, Francois
    Heindl, Franz
    Schweda, Manfred
    Wohlgenannt, Michael
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2013, 73 (01): : 1 - 17
  • [6] BPHZ renormalization and its application to non-commutative field theory
    Blaschke, Daniel N.
    Gieres, Francois
    Heindl, Franz
    Schweda, Manfred
    Wohlgenannt, Michael
    [J]. EUROPEAN PHYSICAL JOURNAL C, 2013, 73 (09): : 1 - 16
  • [7] The ultrahyperfunctional approach to non-commutative quantum field theory
    Franco, Daniel H. T.
    Lourenco, Jose A.
    Renoldi, Luiz H.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2008, 41 (09)
  • [8] Non-commutative renormalization
    Rivasseau, Vincent
    [J]. QUANTUM SPACES: POINCARE SEMINAR 2007, 2007, 53 : 19 - 107
  • [9] Renormalization of quantum field theories on non-commutative Rd, 1.: Scalars
    Chepelev, I
    Roiban, R
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2000, (05):
  • [10] Renormalization of the energy-momentum tensor in non-commutative scalar field theory
    Bellucci, S
    Buchbinder, IL
    Krykhtin, VA
    [J]. NUCLEAR PHYSICS B, 2003, 665 (1-3) : 402 - 424