Anomalous dimensions in N=4 SYM theory at order g^4

By M. Bianchi, S. Kovacs, G. Rossi, Y. J. Z. U. R. T. Vergata, D. U. O. Cambridge. 2000

168 citations recorded by the source corpus.

We compute four-point correlation functions of scalar composite operators in the N=4 supercurrent multiplet at order g^4 using the N=1 superfield formalism. We confirm the interpretation of short-distance logarithmic behaviours in terms of anomalous dimensions of unprotected operators exchanged in the intermediate channels and we determine the two-loop contribution to the anomalous dimension of the N=4 Konishi supermultiplet.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/982a54b606ac85a8ce44d79064f217b5aaea475a

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Citations in the corpus

The Dilatation Operator of N=4 Super Yang-Mills Theory and Integrability (2004, methodology): “The two-loop result was computed in [42] and the three-loop coefficient was first conjectured in [38].”
From correlation functions to Wilson loops (2010, unknown): “The two-loop correction to the four-point correlation function was computed in [26, 27] and it is given by 18 (with λ = g(2)Nc) G4 G 4 = 1− λ 8π2 Φ1(z, z̄) + λ(2) 16π4 { 2 + 2zz̄ − z − z̄ 16 [Φ1(z, z̄)] 2 (4.”
The dilatation operator of conformal N=4 super-Yang–Mills theory (2003, background): “In particular the number of fields of the two operators must be equal.”
From correlation functions to event shapes (2013, background): “8) is known explicitly in terms of functions with known Mellin representation up to two loops [58, 53, 59, 60], and up to six loops in terms of basis integrals [56], which were successfully computed at three-loop order [61].”
The Complete One-Loop Dilatation Operator of N=4 Super Yang-Mills Theory (2003, background): “Non-vanishing anomalous dimensions up to two-loops have subsequently been calculated for the most simple, non-protected operator, the Konishi operator [21,22,20].”
Conformal partial wave expansions for N=4 chiral four-point functions (2004, methodology): “− 1025 252 and η0,2 = −3,η2,2 = − 925 216 which coincide with the revised results of Arutyunov etal[9]. For ℓ= 0 the operator is the Konishi scalar whose second order anomalous dimension was found in [16]. The results for general ℓare the same as those obtained by very diﬀerent perturbative calculat”
Integrability and transcendentality (2006, background): “ Another example are coordinate space correlation functions of more than two local composite operators. Certain intriguing iterative structures were e.g. noticed in four-point functions some time ago [24, 25, 26]. At the time of writing, the precise relation between the observed solvable structures ”
Correlation functions and massive Kaluza-Klein modes in the AdS//CFT correspondence (2002, methodology): “replace the SU(3) contractions by SU(2) ones, taking care of the signs, e.g., [1¯2] → [12], [¯12] → −[12]. In this way we obtain, for example, hq˜2|q2|q˜2|q2i = A 1 [12]2[34]2 +0 [13]2[24]2 +A 3 [14]2[23]2 +0 [13][14][23][24] −B 2 [12][14][23][34] +0 [12][13][24][34] ; (A.7) h˜q2|q2|qq˜|q˜qi = −2A 1”
From correlation functions to scattering amplitudes (2010, background): “of protected bilinear operators, which have been computed up to two loops in [20, 21, 22, 23, 24].”