2005
DOI: 10.1016/j.nuclphysb.2005.01.036
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A three-loop test of the dilatation operator inN=4SYM

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Cited by 81 publications
(62 citation statements)
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“…For the Konishi operator, the results up to 2-loop are in agreement with the existing ones [46][47][48] and the 3-loop result also matches with previous computations [49,50] . By subtracting out the γ j , we can only calculate the combination of (2B j + f j ).…”
Section: Universality Of the Pole Structuressupporting
confidence: 90%
“…For the Konishi operator, the results up to 2-loop are in agreement with the existing ones [46][47][48] and the 3-loop result also matches with previous computations [49,50] . By subtracting out the γ j , we can only calculate the combination of (2B j + f j ).…”
Section: Universality Of the Pole Structuressupporting
confidence: 90%
“…Furthermore, perturbative calculations in 'near-BMN sectors', both in string theory [20] and in the dual gauge theory [21], have shown deviations from BMN scaling. Explicit tests show that in the strict BMN case scaling is respected up to three loops [22], with indications from a related matrix model calculation [23] that this may break down at four loops. In view of these issues in the perturbative sector, it was not obvious to what extent one should have expected agreement between the non-perturbative effects considered in this paper with corresponding effects in N =4 SYM.…”
Section: Discussionmentioning
confidence: 93%
“…The integrals we will meet later are all of the form 21) or can be converted to this form by making use of the Fierz transformation 22) where (3.19), have the property that they are left invariant under the interchange of the first and last pair of indices and they satisfy the (anti)self-duality condition…”
Section: Matrix Elements Of Symmetric Tensor and Singlet Statesmentioning
confidence: 99%
“…The anomalous dimension of Konishi is known up to threeloop [4,17,18,19]. As we have done the explicit computation (2.31), we dare to predict Table 1: Particle spectrum in su(2) subsector the four-loop value under the assumption of a valid PWMT-SYM-relationship…”
Section: Degenerate Spectrum and Higher Chargesmentioning
confidence: 99%
“…This, however, appears to be beyond present capability in the perturbative quantum field theory, where the state of the art is at three-loop order [17,18,19].…”
Section: Introductionmentioning
confidence: 97%