Built on

M. de Leeuw, B. Eden, D. l. Plat and T. Meier, Polylogarithms from the bound state S-matrix , 1907.07014
Original
1907
Earlier work this paper cites.
M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories. 1. Stable particle states , Commun. Math. Phys. 104
1986
Earlier work this paper cites.
M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories. 2. Scattering states , Commun. Math. Phys. 105
1986
Earlier work this paper cites.
A. B. Zamolodchikov, Thermodynamic Bethe ansatz in relativistic models. Scaling three state Potts and Lee-Yang models , Nucl. Phys. B342
1990
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman and W. Skiba, Field theory tests for correlators in the AdS / CFT correspondence , Phys. Rev. D59
1999
Earlier work this paper cites.
B. Eden, P. S. Howe and P. C. West, Nilpotent invariants in N=4 SYM , Phys. Lett. B463
1999
Earlier work this paper cites.
V. A. Smirnov, Analytical result for dimensionally regularized massless on shell double box , Phys. Lett. B460
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity , Phys. Rept. 323
2000
Earlier work this paper cites.
B. U. Eden, P. S. Howe, A. Pickering, E. Sokatchev and P. C. West, Four point functions in N=2 superconformal field theories , Nucl. Phys. B581
2000
Earlier work this paper cites.
P. S. Howe, C. Schubert, E. Sokatchev and P. C. West, Explicit construction of nilpotent covariants in N=4 SYM , Nucl. Phys. B571
2000
Earlier work this paper cites.
D. E. Berenstein, J. M. Maldacena and H. S. Nastase, Strings in flat space and pp waves from 𝒩 = 4 \mathcal{N}=4 super Yang Mills , JHEP 0204
2002
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, The Bethe-ansatz for 𝒩 = 4 \mathcal{N}=4 super Yang-Mills , JHEP 0303
2003
Earlier work this paper cites.
F. C. S. Brown, , C. R. Acad. Sci. Paris I
2004
Earlier work this paper cites.
N. Beisert and M. Staudacher, Long-range PSU ⁡ ( 2 , 2 | 4 ) \mathrm{PSU}(2,2|4) Bethe ansaetze for gauge theory and strings , Nucl. Phys. B727
2005
Earlier work this paper cites.
Z. Bern, L. J. Dixon and V. A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond , Phys. Rev. D72
2005
Earlier work this paper cites.
J. Ambjørn, R. A. Janik and C. Kristjansen, Wrapping interactions and a new source of corrections to the spin-chain/string duality , Nucl. Phys. B736
2006
Earlier work this paper cites.
R. A. Janik, The AdS 5 × S 5 \text{AdS}{5}\times\text{S}^{5} superstring worldsheet S-matrix and crossing symmetry , Phys. Rev. D73
2006
Earlier work this paper cites.
T. Huber and D. Maitre, HypExp: A Mathematica package for expanding hypergeometric functions around integer-valued parameters , Comput. Phys. Commun. 175
2006
Earlier work this paper cites.
N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing , J. Stat. Mech. 0701
2007
Earlier work this paper cites.
G. Arutyunov and S. Frolov, On string S-matrix, bound states and TBA , JHEP 0712
Original
2007
Earlier work this paper cites.
G. Arutyunov, S. Frolov and M. Zamaklar, The Zamolodchikov-Faddeev algebra for AdS 5 × S 5 \text{AdS}{5}\times\text{S}^{5} superstring , JHEP 0704
2007
Earlier work this paper cites.

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2019

Multi-particle finite-volume effects for hexagon tessellations

de Leeuw, Marius, Eden, Burkhard, Plat, Dennis le et al.

Understand

Correlation functions of gauge-invariant composite operators in N=4 super Yang-Mills theory can be computed by integrability using triangulations.

The elementary tile in this process is the hexagon, which should be glued by appropriately inserting resolutions of the identity involving virtual ("mirror") magnons.
We consider this problem for five-point functions of protected operators.
At one-loop in the 't Hooft coupling, it is necessary to glue three adjacent tiles which involves two virtual magnons scattering among each other.

Built on

M. de Leeuw, B. Eden, D. l. Plat and T. Meier, Polylogarithms from the bound state S-matrix , 1907.07014
Original
1907
Earlier work this paper cites.
M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories. 1. Stable particle states , Commun. Math. Phys. 104
1986
Earlier work this paper cites.
M. Lüscher, Volume dependence of the energy spectrum in massive quantum field theories. 2. Scattering states , Commun. Math. Phys. 105
1986
Earlier work this paper cites.
A. B. Zamolodchikov, Thermodynamic Bethe ansatz in relativistic models. Scaling three state Potts and Lee-Yang models , Nucl. Phys. B342
1990
Earlier work this paper cites.
E. D’Hoker, D. Z. Freedman and W. Skiba, Field theory tests for correlators in the AdS / CFT correspondence , Phys. Rev. D59
1999
Earlier work this paper cites.
B. Eden, P. S. Howe and P. C. West, Nilpotent invariants in N=4 SYM , Phys. Lett. B463
1999
Earlier work this paper cites.
V. A. Smirnov, Analytical result for dimensionally regularized massless on shell double box , Phys. Lett. B460
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N field theories, string theory and gravity , Phys. Rept. 323
2000
Earlier work this paper cites.
B. U. Eden, P. S. Howe, A. Pickering, E. Sokatchev and P. C. West, Four point functions in N=2 superconformal field theories , Nucl. Phys. B581
2000
Earlier work this paper cites.
P. S. Howe, C. Schubert, E. Sokatchev and P. C. West, Explicit construction of nilpotent covariants in N=4 SYM , Nucl. Phys. B571
2000
Earlier work this paper cites.
D. E. Berenstein, J. M. Maldacena and H. S. Nastase, Strings in flat space and pp waves from 𝒩 = 4 \mathcal{N}=4 super Yang Mills , JHEP 0204
2002
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, The Bethe-ansatz for 𝒩 = 4 \mathcal{N}=4 super Yang-Mills , JHEP 0303
2003
Earlier work this paper cites.
F. C. S. Brown, , C. R. Acad. Sci. Paris I
2004
Earlier work this paper cites.
N. Beisert and M. Staudacher, Long-range PSU ⁡ ( 2 , 2 | 4 ) \mathrm{PSU}(2,2|4) Bethe ansaetze for gauge theory and strings , Nucl. Phys. B727
2005
Earlier work this paper cites.
Z. Bern, L. J. Dixon and V. A. Smirnov, Iteration of planar amplitudes in maximally supersymmetric Yang-Mills theory at three loops and beyond , Phys. Rev. D72
2005
Earlier work this paper cites.
J. Ambjørn, R. A. Janik and C. Kristjansen, Wrapping interactions and a new source of corrections to the spin-chain/string duality , Nucl. Phys. B736
2006
Earlier work this paper cites.
R. A. Janik, The AdS 5 × S 5 \text{AdS}{5}\times\text{S}^{5} superstring worldsheet S-matrix and crossing symmetry , Phys. Rev. D73
2006
Earlier work this paper cites.
T. Huber and D. Maitre, HypExp: A Mathematica package for expanding hypergeometric functions around integer-valued parameters , Comput. Phys. Commun. 175
2006
Earlier work this paper cites.
N. Beisert, B. Eden and M. Staudacher, Transcendentality and crossing , J. Stat. Mech. 0701
2007
Earlier work this paper cites.
G. Arutyunov and S. Frolov, On string S-matrix, bound states and TBA , JHEP 0712
Original
2007
Earlier work this paper cites.
G. Arutyunov, S. Frolov and M. Zamaklar, The Zamolodchikov-Faddeev algebra for AdS 5 × S 5 \text{AdS}{5}\times\text{S}^{5} superstring , JHEP 0704
2007
Earlier work this paper cites.