Renormalisation of noncommutative scalar field theories

被引：0
|
作者：
Grosse, H [1 ]
Wulkenhaar, R [1 ]
机构：
[1] Univ Vienna, Inst Theoret Phys, A-1090 Vienna, Austria
来源：
LIE THEORY AND ITS APPLICATIONS IN PHYSICS V, PROCEEDINGS | 2004年
关键词：
D O I：
10.1142/9789812702562_0006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present the main ideas of our proof that the real phi(4)-models on noncommutative R-2 and noncommutative R-4 are renormalisable to all orders when working in the matrix base. The proof uses renormalisation group techniques, power-counting theorems for ribbon graphs as well as orthogonal polynomials.
引用
收藏
页码：109 / 123
页数：15
相关论文
共 50 条
  • [31] Renormalization of noncommutative quantum field theories
    de Queiroz, Amilcar R.
    Srivastava, Rahul
    Vaidya, Sachindeo
    PHYSICAL REVIEW D, 2013, 87 (06):
  • [32] A note on supersymmetry in noncommutative field theories
    Nishimura, M
    PHYSICS LETTERS B, 2003, 570 (1-2) : 105 - 110
  • [33] Renormalizability and UV/IR mixing in noncommutative theories with scalar fields
    Aref'eva, IY
    Belov, DM
    Koshelev, AS
    Rytchkov, OA
    PHYSICS LETTERS B, 2000, 487 (3-4) : 357 - 365
  • [34] FUNCTIONAL RENORMALIZATION OF NONCOMMUTATIVE SCALAR FIELD THEORY
    Sfondrini, Alessandro
    Koslowski, Tim A.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2011, 26 (23): : 4009 - 4051
  • [35] Wilsonian renormalization of noncommutative scalar field theory
    Gurau, Razvan
    Rosten, Oliver J.
    JOURNAL OF HIGH ENERGY PHYSICS, 2009, (07):
  • [36] Noncommutative Quantum Scalar Field Cosmology.
    Diaz Barron, L. R.
    Lopez-Dominguez, J. C.
    Sabido, M.
    Yee, C.
    GRAVITATIONAL PHYSICS: TESTING GRAVITY FROM SUBMILLIMETER TO COSMIC SCALE, 2010, 1256 : 188 - +
  • [37] Noncommutative Complex Scalar Field and Casimir Effect
    Khelili, Farid
    PHYSICAL REVIEW D, 2012, 85 (12):
  • [38] Reformulating scalar-tensor field theories as scalar-scalar field theories using a novel geometry
    Horndeski, Gregory W.
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 380 (2222):
  • [39] Scalar field theory on noncommutative Snyder spacetime
    Battisti, Marco Valerio
    Meljanac, Stjepan
    PHYSICAL REVIEW D, 2010, 82 (02):
  • [40] Noncommutative scalar field minimally coupled to gravity
    Bertolami, O
    MODERN PHYSICS LETTERS A, 2005, 20 (17-18) : 1359 - 1369
12345