Rationality of the anomalous dimensions in N=4 SYM theory

被引：3
|
作者：
Genovese, L [1 ]
Stanev, YS [1 ]
机构：
[1] Univ Roma Tor Vergata, Ist Nazl Fis Nucl, Dipartimento Fis, Sez Roma Tor Vergata, I-00133 Rome, Italy
来源：
NUCLEAR PHYSICS B | 2005年 / 721卷
关键词：
D O I：
10.1016/j.nuclphysb.2005.06.004
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：
We reconsider the general constraints on the perturbative anomalous dimensions in conformal invariant QFF and in particular in N = 4 SYM with gauge group SUM. We show that all the perturbative corrections to the anomalous dimension of a renormalized gauge invariant local operator can be written as polynomials in its one loop anomalous dimension. In the M = 4 SYM theory the coefficients of these polynomials are rational functions of the number of colours N. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：212 / 228
页数：17
相关论文
共 50 条
  • [1] Anomalous dimensions of Wilson operators in N=4 SYM theory
    Kotikov, AV
    Lipatov, LN
    Velizhanin, VN
    [J]. PHYSICS LETTERS B, 2003, 557 (1-2) : 114 - 120
  • [2] Anomalous dimensions in N=4 SYM theory at order g4
    Bianchi, M
    Kovacs, S
    Rossi, G
    Stanev, YS
    [J]. NUCLEAR PHYSICS B, 2000, 584 (1-2) : 216 - 232
  • [3] Negative anomalous dimensions in N=4 SYM
    Kimura, Yusuke
    Suzuki, Ryo
    [J]. NUCLEAR PHYSICS B, 2015, 900 : 603 - 659
  • [4] Superspace approach to anomalous dimensions in N=4 SYM
    Penati, S
    Santambrogio, A
    [J]. NUCLEAR PHYSICS B, 2001, 614 (1-2) : 367 - 387
  • [5] Universality of three gaugino anomalous dimensions in N=4 SYM
    Beccaria, Matteo
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2007, (06):
  • [6] The Property of Maximal Transcendentality of Anomalous Dimensions of the Wilson Operators in the N=4 SYM
    Kotikov, A. V.
    [J]. PHYSICS OF ATOMIC NUCLEI, 2011, 74 (06) : 936 - 943
  • [7] The property of maximal transcendentality of anomalous dimensions of the Wilson operators in the N = 4 SYM
    A. V. Kotikov
    [J]. Physics of Atomic Nuclei, 2011, 74 : 936 - 943
  • [8] Anomalous dimensions of finite size field strength operators in N=4 SYM
    Beccaria, Matteo
    Forini, Valentina
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2007, (11):
  • [9] Finite-size corrections to anomalous dimensions in N=4 SYM theory -: art. no. 049
    Lübcke, M
    Zarembo, K
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2004, (05):
  • [10] The property of maximal transcendentality: Calculation of anomalous dimensions in the N = 4 SYM and master integrals
    A. V. Kotikov
    [J]. Physics of Particles and Nuclei, 2013, 44 : 374 - 385
12345