Three-loop four-point correlator in N=4 SYM

By B. Eden, C. Schubert, E. Sokatchev. 2000

170 citations recorded by the source corpus.

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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d321365e2b3c5046f72b65394fa3884ef3300471

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In Nuclear and High Energy Physics

Citations in the corpus

Integrability and transcendentality (2006, unknown): “noticed in four-point functions some time ago [24, 25, 26].”
From correlation functions to Wilson loops (2010, background): “Indeed, as discussed in [26], inserting the gauge-invariant Lagrangian into a gluon propagator in any gauge brings this propagator to the transverse Landau gauge.”
From correlation functions to scattering amplitudes (2010, methodology): “In this case Θ is rather simple [27]: Θ|θ+=0 = θ(4) 0θ(4) 0′ (x(2)00′) 2R ∏4 r=1 x 2 r0x 2 r0′ , (A.”
Anomalous dimensions in N=4 SYM theory at order g^4 (2000, methodology): “A recent interesting paper by Eden, Schubert and Sokatchev has reported on similar computations at order g 4 from a different vantage point and confirmed the validity of the above identities [ 23 ].”
Looking for a bulk point (2015, unknown): “At one loop, we get λ (z−z̄) coming from a φtype interaction, and at two loops we get λ 2 (z−z̄)2 from two copies of that diagram [37].”
Notes on the scattering amplitude — Wilson loop duality (2010, methodology): “ertion procedure, in the context of supersymmetric eld theories, was rst introduced in [40]. It was used to prove non-renormalization theorems [41] and also as an ecient tool for 2-loop computations [42]. Contact terms play an important role in the consistency of the formalism [41,43]. 7.1 Generalit”