Three loop four point correlator in N=4 SYM

Mar, 2000
8 pages
Published in:
  • Phys.Lett.B 482 (2000) 309-314
e-Print:
Report number:
  • LAPTH-786-2000

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Abstract:
We explicitly compute the complete three-loop (O(g^4)) contribution to the four-point function of chiral primary current-like operators <(q)^2 q^2 (q)^2 q^2> in any finite N=2 SYM theory. The computation uses N=2 harmonic supergraphs in coordinate space. Dramatic simplifications are achieved by a double insertion of the N=2 SYM linearized action, and application of superconformal covariance arguments to the resulting nilpotent six-point amplitude. The result involves polylogarithms up to fourth order of the conformal cross ratios. It becomes particularly simple in the N=4 special case.
  • gauge field theory: Yang-Mills
  • supersymmetry
  • n-point function: 4
  • invariance: conformal
  • superspace: harmonic