On the structure of the conformal covariant N-point functions

Sotkov, G. M.; Zaikov, R.P.

doi:10.1016/0034-4877(84)90005-3

Cited by 11 publications

(18 citation statements)

References 5 publications

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“…Thus, it will be convenient to use the spin-chain frame instead of the string frame. There is a map between the excitations in one frame to the other and our strategy will be to evaluate the hexagon form factor in the string frame using the definitions and crossing rules given above and apply the map 12 We thank Shota Komatsu for informing us about the transformations of the fermionic excitations.…”

Section: A2 String and Spin Chain Framesmentioning

confidence: 99%

Fermionic correlators from integrability

Caetano

Fleury

2016

J. High Energ. Phys.

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We study three-point functions of single-trace operators in the su(1|1) sector of planar N = 4 SYM borrowing several tools based on Integrability. In the most general configuration of operators in this sector, we have found a determinant expression for the tree-level structure constants. We then compare the predictions of the recently proposed hexagon program against all available data. We have obtained a match once additional sign factors are included when the two hexagon form-factors are assembled together to form the structure constants. In the particular case of one BPS and two non-BPS operators we managed to identify the relevant form-factors with a domain wall partition function of a certain six-vertex model. This partition function can be explicitly evaluated and factorizes at all loops. In addition, we use this result to compute the structure constants and show that at strong coupling in the so-called BMN regime, its leading order contribution has a determinant expression.

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Section: A2 String and Spin Chain Framesmentioning

confidence: 99%

Fermionic correlators from integrability

Caetano

Fleury

2016

J. High Energ. Phys.

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“…(cos θ − it sin θ) m , (B.3)of the normalized Gegenbauer polynomial derived shortly, we find the result(3.26) 11. This formula is found in the seventh edition of[47].…”

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confidence: 58%

Momentum space approach to crossing symmetric CFT correlators. Part II. General spacetime dimension

Isono

Noumi

Shiu

2019

J. High Energ. Phys.

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Our previous work [1] constructed, in three-dimensional momentum space, a manifestly crossing symmetric basis for scalar conformal four-point functions, based on the factorization property proposed by Polyakov. This work extends this construction to general dimensional conformal field theory. To facilitate the treatment of symmetric traceless tensors, we exploit techniques of spherical harmonics in general dimensions.

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“…Their conjecture implies that the finite part F n , c.f. (113) has the same functional form as at one loop, F (1) n , multiplied by the (coupling-dependent) cusp anomalous dimension, 31 Strictly speaking, the preceding calculation proves (123) up to terms vanishing as O( ) only, since we used 4-dimensional cuts. To extend the derivation to O( ) terms one could use D-dimensional cuts.…”

Section: Results Of Perturbative Calculationsmentioning

confidence: 90%

“…is the invariant mass of two adjacent gluons with indices i and i + 1, and the periodicity condition 28 . From (113) we can see that MHV amplitudes contain two interesting pieces of information: the cusp anomalous dimension Γ cusp in the double pole term, and an a priori arbitrary function of the momentum invariants in the finite part. What makes the latter particularly interesting is that it turns out not to be arbitrary, but seems to have a very simple form, as we will discuss in Sect.…”

Section: Infrared Divergencesmentioning

confidence: 99%

Duality between Wilson loops and gluon amplitudes

Henn

2009

Fortschritte der Physik

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An intriguing new duality between planar MHV gluon amplitudes and light-like Wilson loops in N = 4 super Yang-Mills is investigated. We extend previous checks of the duality by performing a two-loop calculation of the rectangular and pentagonal Wilson loop. Furthermore, we derive an all-order broken conformal Ward identity for the Wilson loops and analyse its consequences. Starting from six points, the Ward identity allows for an arbitrary function of conformal invariants to appear in the expression for the Wilson loop. We compute this function at six points and two loops and discuss its implications for the corresponding gluon amplitude. It is found that the duality disagrees with a conjecture for the gluon amplitudes by Bern et al. A recent calculation by Bern et al indeed shows that the latter conjecture breaks down at six gluons and at two loops. By doing a numerical comparison with their results we find that the duality between gluon amplitudes and Wilson loops is preserved.

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On the structure of the conformal covariant N-point functions

Cited by 11 publications

References 5 publications

Fermionic correlators from integrability

Fermionic correlators from integrability

Momentum space approach to crossing symmetric CFT correlators. Part II. General spacetime dimension

Duality between Wilson loops and gluon amplitudes

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