A Three-loop test of the dilatation operator in N = 4 SYM

Sep, 2004
39 pages
Published in:
  • Nucl.Phys.B 712 (2005) 157-195
e-Print:
Report number:
  • AEI-2004-067,
  • ROM2F-04-09,
  • LAPTH-1061-04

Citations per year

2004200920142019202205101520
Abstract:
We compute the three-loop anomalous dimension of the BMN operators with charges J=0 (the Konishi multiplet) and J=1 in N=4 super-Yang-Mills theory. We employ a method which effectively reduces the calculation to two loops. Instead of using the superconformal primary states, we consider the ratio of the two-point functions of suitable descendants of the corresponding multiplets. Our results unambiguously select the form of the N=4 SYM dilatation operator which is compatible with BMN scaling. Thus, we provide evidence for BMN scaling at three loops.
  • 11.40.-q
  • 11.15.-q
  • 11.30.Pb
  • 11.25.Hf
  • gauge field theory: Yang-Mills
  • supersymmetry: superspace
  • operator: dilation
  • perturbation theory: higher-order
  • higher-order: 3
  • anomaly: conformal