The ε-expansion from conformal field theory

被引：97
|
作者：
Rychkov, Slava [1 ,2 ,3 ]
Tan, Zhong Ming [4 ]
机构：
[1] CERN, Geneva, Switzerland
[2] Ecole Normale Super LPTENS, Phys Theor Lab, Paris, France
[3] Univ Paris 06, Fac Phys, Paris, France
[4] Ecole Normale Super, Dept Phys, F-75231 Paris, France
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2015年 / 48卷 / 29期
基金：
瑞士国家科学基金会;
关键词：
conformal field theory; Wilson-Fisher fixed point; epsilon-expansion; CRITICAL EXPONENTS; SYMMETRY;
D O I：
10.1088/1751-8113/48/29/29FT01
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Conformal multiplets of phi and phi(3) recombine at the Wilson-Fisher fixed point, as a consequence of the equations of motion. Using this fact and other constraints from conformal symmetry, we reproduce the lowest nontrivial order results for the anomalous dimensions of operators, without any input from perturbation theory.
引用
收藏
页数：21
相关论文
共 50 条
  • [1] ε-Expansion in the Gross-Neveu model from conformal field theory
    Ghosh, Sudip
    Gupta, Rajesh Kumar
    Jaswin, Kasi
    Nizami, Amin A.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2016, (03):
  • [2] The ε-expansion of the codimension two twist defect from conformal field theory
    Yamaguchi, Satoshi
    [J]. PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS, 2016, 2016 (09):
  • [3] ϵ-Expansion in the Gross-Neveu model from conformal field theory
    Sudip Ghosh
    Rajesh Kumar Gupta
    Kasi Jaswin
    Amin A. Nizami
    [J]. Journal of High Energy Physics, 2016
  • [4] Operator product expansion convergence in conformal field theory
    Pappadopulo, Duccio
    Rychkov, Slava
    Espin, Johnny
    Rattazzi, Riccardo
    [J]. PHYSICAL REVIEW D, 2012, 86 (10):
  • [5] Operator product expansion in logarithmic conformal field theory
    Flohr, M
    [J]. NUCLEAR PHYSICS B, 2002, 634 (03) : 511 - 545
  • [6] ε-expansion in critical φ3-theory on real projective space from conformal field theory
    Hasegawa, Chika
    Nakayama, Yu
    [J]. MODERN PHYSICS LETTERS A, 2017, 32 (07)
  • [7] AdS field theory from conformal field theory
    A. Liam Fitzpatrick
    Jared Kaplan
    [J]. Journal of High Energy Physics, 2013
  • [8] AdS field theory from conformal field theory
    Fitzpatrick, A. Liam
    Kaplan, Jared
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2013, (02):
  • [9] The epsilon expansion of the O(N) model with line defect from conformal field theory
    Nishioka, Tatsuma
    Okuyama, Yoshitaka
    Shimamori, Soichiro
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2023, 2023 (03)
  • [10] The epsilon expansion of the O(N) model with line defect from conformal field theory
    Tatsuma Nishioka
    Yoshitaka Okuyama
    Soichiro Shimamori
    [J]. Journal of High Energy Physics, 2023
12345