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Quantum Integrability for Three-Point Functions · Around

2012

Quantum Integrability for Three-Point Functions

Gromov, Nikolay, Vieira, Pedro

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Quantum corrections to three-point functions of scalar single trace operators in planar N=4 Super-Yang-Mills theory are studied using integrability.

At one loop, we find new algebraic structures that not only govern all two loop corrections to the mixing of the operators but also automatically incorporate all one loop diagrams correcting the tree level Wick contractions.
Speculations about possible extensions of our construction to all loop orders are given.
We also match our results with the strong coupling predictions in the classical (Frolov-Tseytlin) limit.

Built on

J. A. Minahan and K. Zarembo, JHEP 0303
2003
Earlier work this paper cites.
S. Frolov and A. A. Tseytlin, Phys. Lett. B 570
2003
Earlier work this paper cites.
R. Roiban and A. Volovich, JHEP 0409
2004
Earlier work this paper cites.
D. Serban and M. Staudacher, JHEP 0406
2004
Earlier work this paper cites.

Similar

K. Okuyama and L. S. Tseng, JHEP 0408
2005
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A. Rej, D. Serban and M. Staudacher, JHEP 0603
2008
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N. Beisert, V. Dippel and M. Staudacher, JHEP 0407
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2009
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J. Escobedo, N. Gromov, A. Sever and P. Vieira, arXiv:1012.2475
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Cited in the paper.
N. Gromov and P. Vieira, to appear
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O. Foda, arXiv:1111.4663
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Cited in the paper.
In the numerator of ( 14
Cited in the paper.
See A. Bissi, T. Harmark and M. Orselli, arXiv:1112.5075 for an interesting effort at obtaining a one loop/strong coupling match using the coherent state formalism proposed in paper2
Original
Cited in the paper.
N. Gromov. S. Valatka, P. Vieira, in progress
Original
Cited in the paper.

Then

K. Zarembo, JHEP 1009
Original
2010
Later among the works it cites.
J. Escobedo, N. Gromov, A. Sever and P. Vieira, JHEP 1109
Original
2011
Later among the works it cites.
N. Beisert et al
Original
2012
Closest in time.

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