Built on

V. S. Fadin, E. A. Kuraev and L. N. Lipatov, “On the Pomeranchuk Singularity in Asymptotically Free Theories,” Phys. Lett. B 60
1975
Earlier work this paper cites.
L. N. Lipatov, “Reggeization of the Vector Meson and the Vacuum Singularity in Nonabelian Gauge Theories,” Sov. J. Nucl. Phys. 23
1976
Earlier work this paper cites.
E. A. Kuraev, L. N. Lipatov and V. S. Fadin, “Multi - Reggeon Processes in the Yang-Mills Theory,” Sov. Phys. JETP 44
1977
Earlier work this paper cites.
I. I. Balitsky and L. N. Lipatov, “The Pomeranchuk Singularity in Quantum Chromodynamics,” Sov. J. Nucl. Phys. 28
1978
Earlier work this paper cites.
S. J. Parke and T. R. Taylor, “An Amplitude for n n Gluon Scattering,” Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636
2002
Earlier work this paper cites.
F. C. S. Brown, “Single-valued multiple polylogarithms in one variable,” C. R. Acad. Sci. Paris, Ser. I 338 (2004) 527
2004
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. D 72
2005
Earlier work this paper cites.
D. Maitre, “HPL, a mathematica implementation of the harmonic polylogarithms,” Comput. Phys. Commun. 174
2006
Earlier work this paper cites.
J. M. Drummond, J. Henn, V. A. Smirnov and E. Sokatchev, “Magic identities for conformal four-point integrals,” JHEP 0701
2007
Earlier work this paper cites.
L. F. Alday and J. Maldacena, “Comments on gluon scattering amplitudes via AdS/CFT,” JHEP 0711
Original
2007
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, “Gluon scattering amplitudes at strong coupling,” JHEP 0706
Original
2007
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.
L. F. Alday and J. M. Maldacena, “Comments on operators with large spin,” JHEP 0711
Original
2007
Earlier work this paper cites.
A. V. Kotikov, L. N. Lipatov, A. Rej, M. Staudacher and V. N. Velizhanin, “Dressing and wrapping,” J. Stat. Mech. 0710
Original
2007
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. A. Kosower, R. Roiban, M. Spradlin, C. Vergu and A. Volovich, “The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
J. M. Drummond, G. P. Korchemsky and E. Sokatchev, “Conformal properties of four-gluon planar amplitudes and Wilson loops,” Nucl. Phys. B 795
Original
2008
Earlier work this paper cites.
A. Brandhuber, P. Heslop and G. Travaglini, “MHV amplitudes in N=4 super Yang-Mills and Wilson loops,” Nucl. Phys. B 794
Original
2008
Earlier work this paper cites.
J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, “Hexagon Wilson loop = six-gluon MHV amplitude,” Nucl. Phys. B 815
Original
2009
Earlier work this paper cites.
R. M. Schabinger, “The Imaginary Part of the N = 4 Super-Yang-Mills Two-Loop Six-Point MHV Amplitude in Multi-Regge Kinematics,” JHEP 0911
Original
2009
Earlier work this paper cites.
J. M. Drummond, J. M. Henn and J. Plefka, “Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory,” JHEP 0905
Original
2009
Earlier work this paper cites.

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Then

L. N. Lipatov and A. Prygarin, “Mandelstam cuts and light-like Wilson loops in N=4 SUSY,” Phys. Rev. D 83
Original
2011
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N. Dorey and P. Zhao, “Scattering of Giant Holes,” JHEP 1108
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N. Beisert, C. Ahn, L. F. Alday, Z. Bajnok, J. M. Drummond, L. Freyhult, N. Gromov and R. A. Janik et al
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2012
Later among the works it cites.
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Original
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2014

Wilson loop OPE, analytic continuation and multi-Regge limit

Hatsuda, Yasuyuki

Understand

We explore a direct connection between the collinear limit and the multi-Regge limit for scattering amplitudes in the N=4 super Yang-Mills theory.

Starting with the collinear expansion for the six-gluon amplitude in the Euclidean kinematic region, we perform an analytic continuation term by term to the so-called Mandelstam region.
We find that the result coincides with the collinear expansion of the analytically continued amplitude.
We then take the multi-Regge limit, and conjecture that the final result precisely reproduces the one from the BFKL approach.

Built on

V. S. Fadin, E. A. Kuraev and L. N. Lipatov, “On the Pomeranchuk Singularity in Asymptotically Free Theories,” Phys. Lett. B 60
1975
Earlier work this paper cites.
L. N. Lipatov, “Reggeization of the Vector Meson and the Vacuum Singularity in Nonabelian Gauge Theories,” Sov. J. Nucl. Phys. 23
1976
Earlier work this paper cites.
E. A. Kuraev, L. N. Lipatov and V. S. Fadin, “Multi - Reggeon Processes in the Yang-Mills Theory,” Sov. Phys. JETP 44
1977
Earlier work this paper cites.
I. I. Balitsky and L. N. Lipatov, “The Pomeranchuk Singularity in Quantum Chromodynamics,” Sov. J. Nucl. Phys. 28
1978
Earlier work this paper cites.
S. J. Parke and T. R. Taylor, “An Amplitude for n n Gluon Scattering,” Phys. Rev. Lett. 56
1986
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, “A Semiclassical limit of the gauge / string correspondence,” Nucl. Phys. B 636
2002
Earlier work this paper cites.
F. C. S. Brown, “Single-valued multiple polylogarithms in one variable,” C. R. Acad. Sci. Paris, Ser. I 338 (2004) 527
2004
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. D 72
2005
Earlier work this paper cites.
D. Maitre, “HPL, a mathematica implementation of the harmonic polylogarithms,” Comput. Phys. Commun. 174
2006
Earlier work this paper cites.
J. M. Drummond, J. Henn, V. A. Smirnov and E. Sokatchev, “Magic identities for conformal four-point integrals,” JHEP 0701
2007
Earlier work this paper cites.
L. F. Alday and J. Maldacena, “Comments on gluon scattering amplitudes via AdS/CFT,” JHEP 0711
Original
2007
Earlier work this paper cites.
L. F. Alday and J. M. Maldacena, “Gluon scattering amplitudes at strong coupling,” JHEP 0706
Original
2007
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.
L. F. Alday and J. M. Maldacena, “Comments on operators with large spin,” JHEP 0711
Original
2007
Earlier work this paper cites.
A. V. Kotikov, L. N. Lipatov, A. Rej, M. Staudacher and V. N. Velizhanin, “Dressing and wrapping,” J. Stat. Mech. 0710
Original
2007
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. A. Kosower, R. Roiban, M. Spradlin, C. Vergu and A. Volovich, “The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory,” Phys. Rev. D 78
Original
2008
Earlier work this paper cites.
J. M. Drummond, G. P. Korchemsky and E. Sokatchev, “Conformal properties of four-gluon planar amplitudes and Wilson loops,” Nucl. Phys. B 795
Original
2008
Earlier work this paper cites.
A. Brandhuber, P. Heslop and G. Travaglini, “MHV amplitudes in N=4 super Yang-Mills and Wilson loops,” Nucl. Phys. B 794
Original
2008
Earlier work this paper cites.
J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, “Hexagon Wilson loop = six-gluon MHV amplitude,” Nucl. Phys. B 815
Original
2009
Earlier work this paper cites.
R. M. Schabinger, “The Imaginary Part of the N = 4 Super-Yang-Mills Two-Loop Six-Point MHV Amplitude in Multi-Regge Kinematics,” JHEP 0911
Original
2009
Earlier work this paper cites.
J. M. Drummond, J. M. Henn and J. Plefka, “Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory,” JHEP 0905
Original
2009
Earlier work this paper cites.