Fetching the paper…

Reading the bibliography…

A simple collinear limit of scattering amplitudes at strong coupling · Around

2010

A simple collinear limit of scattering amplitudes at strong coupling

Yang, Gang

Original
PDF
Post on X

Understand

Collinear limit usually provides strong constraints for scattering amplitudes.

At strong coupling, collinear limit of the amplitudes in N=4 SYM is related to the large mass limit of the corresponding Y system.
In this paper, we consider a special case in which all mass parameters are taken to be large, which corresponds to a multi-double-collinear limit in which a n-side polygon becomes pentagons.
This limit provides a useful constraint for amplitudes, in particular, can be used to fix the periods part for the case of 4K gluons, which is the last missing piece of full amplitudes.

Built on

C. N. Yang and C. P. Yang, “Thermodynamics of a one-dimensional system of bosons with repulsive delta-function interaction,” J. Math. Phys. 10
1969
Earlier work this paper cites.
A. B. Zamolodchikov, “Thermodynamic Bethe ansatz in relativistic models. Scaling three state Potts and Lee-Yang Models,” Nucl. Phys. B 342
1990
Earlier work this paper cites.
Z. Bern and G. Chalmers, “Factorization in one loop gauge theory,” Nucl. Phys. B 447
1995
Earlier work this paper cites.
G. Mandal, N. V. Suryanarayana and S. R. Wadia, “Aspects of semiclassical strings in AdS(5),” Phys. Lett. B 543
2002
Earlier work this paper cites.
J. A. Minahan and K. Zarembo, “The Bethe-ansatz for N = 4 super Yang-Mills,” JHEP 0303
2003
Earlier work this paper cites.
C. Anastasiou, Z. Bern, L. J. Dixon and D. A. Kosower, “Planar amplitudes in maximally supersymmetric Yang-Mills theory,” Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
I. Bena, J. Polchinski and R. Roiban, “Hidden symmetries of the AdS(5) x S**5 superstring,” Phys. Rev. D 69
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.
L. F. Alday and J. M. Maldacena, “Gluon scattering amplitudes at strong coupling,” JHEP 0706
Original
2007
Earlier work this paper cites.

Similar

Z. Bern, M. Czakon, D. A. Kosower, R. Roiban and V. A. Smirnov, “ Two-loop iteration of five-point N = 4 super-Yang-Mills amplitudes,” Phys. Rev. Lett. 97
Original
2007
Cited alongside, same era.
F. Cachazo, M. Spradlin and A. Volovich, “ Four-Loop Cusp Anomalous Dimension From Obstructions,” Phys. Rev. D 75
2007
Cited alongside, same era.
L. F. Alday and J. Maldacena, “Comments on gluon scattering amplitudes via AdS/CFT,” JHEP 0711
Original
2007
Cited alongside, same era.
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
Cited alongside, same era.
A. Brandhuber, P. Heslop and G. Travaglini, “MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops,” Nucl. Phys. B 794

Then

J. M. Drummond, J. M. Henn and J. Plefka, JHEP 0905
Original
2009
Later among the works it 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
Later among the works it cites.
C. Anastasiou, A. Brandhuber, P. Heslop, V. V. Khoze, B. Spence and G. Travaglini, “Two-Loop Polygon Wilson Loops in N=4 SYM,” JHEP 0905
Original
2009
Later among the works it cites.
L. F. Alday and J. Maldacena, “Null polygonal Wilson loops and minimal surfaces in Anti-de-Sitter space,” JHEP 0911
Original
2009
Later among the works it cites.
L. Mason and D. Skinner, “Dual Superconformal Invariance, Momentum Twistors and Grassmannians,” JHEP 0911

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2008

Cited alongside, same era.

N. Berkovits and J. Maldacena, “Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection,” JHEP 0809

2008

Cited alongside, same era.

N. Beisert, R. Ricci, A. A. Tseytlin and M. Wolf, “Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability,” Phys. Rev. D 78

2008

Cited alongside, same era.

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

2008

Cited alongside, same era.

V. Del Duca, C. Duhr and V. A. Smirnov, “The Two-Loop Hexagon Wilson Loop in N = 4 SYM,” arXiv:1003.1702

Cited in the paper.

J. H. Zhang, “On the two-loop hexagon Wilson loop remainder function in N=4 SYM,” arXiv:1004.1606 [hep-th]

Cited in the paper.

L. F. Alday, D. Gaiotto and J. Maldacena, “Thermodynamic Bubble Ansatz,” arXiv:0911.4708 [hep-th]

Cited in the paper.

L. F. Alday, J. Maldacena, A. Sever and P. Vieira, “Y-system for Scattering Amplitudes,” arXiv:1002.2459 [hep-th]

Original

Cited in the paper.

2009

Later among the works it cites.

J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, “Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes,” Nucl. Phys. B 826

2010

Closest in time.

J. M. Drummond, J. Henn, G. P. Korchemsky and E. Sokatchev, “Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory,” Nucl. Phys. B 828

2010

Closest in time.

A. Brandhuber, P. Heslop, V. V. Khoze and G. Travaglini, “Simplicity of Polygon Wilson Loops in N=4 SYM,” JHEP 1001

2010

Closest in time.