2009

Duality between Wilson loops and gluon amplitudes

Henn, J. M.

Understand

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.

Built on

Phys. Rev. D76 (2007) 106004, 0707.1903
F. Cachazo, M. Spradlin and A. Volovich, · 1903
Earlier work this paper cites.
J. Math. Phys. 1 (1960) 429
R.E. Cutkosky, · 1960
Earlier work this paper cites.
Phys. Rev. D3 (1971) 980
E.J. Schreier, · 1971
Earlier work this paper cites.
Routledge; 1 edition (January 1, 1971)
M. Nakanishi, · 1971
Earlier work this paper cites.
Nucl. Phys. B72 (1974) 461
G. ’t Hooft, · 1974
Earlier work this paper cites.
Phys. Rev. D10 (1974) 2445
K.G. Wilson, · 1974
Earlier work this paper cites.
Nucl. Phys. B83 (1974) 108
S. Sarkar, · 1974
Earlier work this paper cites.
Nucl. Phys. B122 (1977) 253
F. Gliozzi, J. Scherk and D. Olive, · 1977
Earlier work this paper cites.
Nucl. Phys. B121 (1977) 77
L. Brink, J.H. Schwarz and J. Scherk, · 1977
Earlier work this paper cites.
Rept. Math. Phys. 12 (1977) 375
G.M. Sotkov and R.P. Zaikov, · 1977
Earlier work this paper cites.
Phys. Rev. D15 (1977) 996
M.T. Grisaru, H.N. Pendleton and P. van Nieuwenhuizen, · 1977
Earlier work this paper cites.
Nucl. Phys. B124 (1977) 81
M.T. Grisaru and H.N. Pendleton, · 1977
Earlier work this paper cites.
Pisa, Italy: Sc. Norm. Sup. (1978) 273p
I.T. Todorov, M.C. Mintchev and V.B. Petkova, · 1978
Earlier work this paper cites.
Phys. Rept. 44 (1978) 249
E.S. Fradkin and M.Y. Palchik, · 1978
Earlier work this paper cites.
Nucl. Phys. B143 (1978) 445
T.E. Clark, O. Piguet and K. Sibold, · 1978
Earlier work this paper cites.
Phys. Rev. D19 (1979) 1250
R. Akhoury, · 1979
Earlier work this paper cites.
Nucl. Phys. B153 (1979) 365
G. ’t Hooft and M.J.G. Veltman, · 1979
Earlier work this paper cites.
Nucl. Phys. B160 (1979) 151
G. Passarino and M.J.G. Veltman, · 1979
Earlier work this paper cites.
Phys. Lett. B88 (1979) 135
Y.M. Makeenko and A.A. Migdal, · 1979
Earlier work this paper cites.
Nucl. Phys. B152 (1979) 285
R.K. Ellis et al., · 1979
Earlier work this paper cites.
Nucl. Phys. B164 (1980) 171
A.M. Polyakov, · 1980
Earlier work this paper cites.
Phys. Rev. D22 (1980) 1478
J.C. Collins, · 1980
Earlier work this paper cites.
Phys. Rev. Lett. 45 (1980) 1063
M. Grisaru, M. Rocek and W. Siegel, · 1980
Earlier work this paper cites.
Nucl. Phys. B169 (1980) 527
V.S. Dotsenko and S.N. Vergeles, · 1980
Earlier work this paper cites.
Nucl. Phys. B163 (1980) 189
J.L. Gervais and A. Neveu, · 1980
Earlier work this paper cites.
Phys. Lett. B93 (1980) 347
I.Y. Arefeva, · 1980
Earlier work this paper cites.
Phys. Rept. 58 (1980) 269
Y.L. Dokshitzer, D. Diakonov and S.I. Troian, · 1980
Earlier work this paper cites.
Phys. Rev. D24 (1981) 3281
A. Sen, · 1981
Earlier work this paper cites.
Sov. J. Nucl. Phys. 33 (1981) 440
Y.M. Makeenko, · 1981
Earlier work this paper cites.
Phys. Lett. B100 (1981) 152
W.E. Caswell and D. Zanon, · 1981
Earlier work this paper cites.
Phys. Rev. D24 (1981) 879
R.A. Brandt, F. Neri and M.A. Sato, · 1981
Earlier work this paper cites.
Nucl. Phys. B188 (1981) 269
Y. Makeenko and A.A. Migdal, · 1981
Earlier work this paper cites.
North-Holland, Amsterdam (1981), 359 p
Original
L. Lewin, · 1981
Earlier work this paper cites.
Phys. Lett. B112 (1982) 356
L.V. Avdeev and O.V. Tarasov, · 1982
Earlier work this paper cites.
Nucl. Phys. B198 (1982) 26
T. Ohrndorf, · 1982
Earlier work this paper cites.
Phys. Rev. D26 (1982) 3611
R.A. Brandt et al., · 1982
Earlier work this paper cites.
Phys. Rev. D28 (1983) 860
A. Sen, · 1983
Earlier work this paper cites.
Phys. Lett. B133 (1983) 406
D.I. Kazakov, · 1983
Earlier work this paper cites.
Nucl. Phys. B214 (1983) 519
P.S. Howe, K.S. Stelle and P.K. Townsend, · 1983
Earlier work this paper cites.
Nucl. Phys. B213 (1983) 149
S. Mandelstam, · 1983
Earlier work this paper cites.
Phys. Lett. B123 (1983) 323
L. Brink, O. Lindgren and B.E.W. Nilsson, · 1983
Earlier work this paper cites.
Phys. Lett. B124 (1983) 55
P.S. Howe, K.S. Stelle and P.C. West, · 1983
Earlier work this paper cites.
Phys. Lett. B133 (1983) 90
J.G.M. Gatheral, · 1983
Earlier work this paper cites.
Cambridge, Uk: Univ. Pr. (1984) 380p
J.C. Collins, · 1984
Earlier work this paper cites.
Rept. Math. Phys. 19 (1984) 335
G.M. Sotkov and R.P. Zaikov, · 1984
Earlier work this paper cites.
Nucl. Phys. B236 (1984) 125
P.S. Howe, K.S. Stelle and P.K. Townsend, · 1984
Earlier work this paper cites.
Phys. Lett. B135 (1984) 439
K. Konishi, · 1984
Earlier work this paper cites.
Nucl. Phys. B246 (1984) 231
J. Frenkel and J.C. Taylor, · 1984
Earlier work this paper cites.
Phys. Rept. 128 (1985) 39
M.F. Sohnius, · 1985
Earlier work this paper cites.
Ann. Phys. 159 (1985) 411
N.S. Craigie, V.K. Dobrev and I.T. Todorov, · 1985
Earlier work this paper cites.
Phys. Lett. B154 (1985) 197
S.V. Ivanov and G.P. Korchemsky, · 1985
Earlier work this paper cites.
Phys. Lett. B171 (1986) 459
G.P. Korchemsky and A.V. Radyushkin, · 1986
Earlier work this paper cites.
Phys. Rev. Lett. 56 (1986) 2459
S.J. Parke and T.R. Taylor, · 1986
Earlier work this paper cites.
Phys. Rev. D33 (1986) 1881
S.J. Brodsky et al., · 1986
Earlier work this paper cites.
Nucl. Phys. B269 (1986) 1
H. Kawai, D.C. Lewellen and S.H.H. Tye, · 1986
Earlier work this paper cites.
Yad. Fiz. 44 (1986) 230
S.V. Ivanov, G.P. Korchemsky and A.V. Radyushkin, · 1986
Earlier work this paper cites.
Nucl. Phys. B283 (1987) 342
G.P. Korchemsky and A.V. Radyushkin, · 1987
Earlier work this paper cites.
Nucl. Phys. B281 (1987) 310
G. Sterman, · 1987
Earlier work this paper cites.
Phys. Lett. B197 (1987) 129
D.J. Gross and P.F. Mende, · 1987
Earlier work this paper cites.
Rev. Mod. Phys. 59 (1987) 1067
G. Leibbrandt, · 1987
Earlier work this paper cites.
Nucl. Phys. B306 (1988) 759
F. Berends and W. Giele, · 1988
Earlier work this paper cites.
Adv. Ser. Direct. High Energy Phys. 5 (1988) 1, hep-ph/0409313
J.C. Collins, D.E. Soper and G. Sterman, · 1988
Earlier work this paper cites.
(2008), 0803.1988
F. Cachazo, · 1988
Earlier work this paper cites.
Adv. Ser. Direct. High Energy Phys. 5 (1989) 573, hep-ph/0312336
J.C. Collins, · 1989
Earlier work this paper cites.
Nucl. Phys. B327 (1989) 323
S. Catani and L. Trentadue, · 1989
Earlier work this paper cites.
Nucl. Phys. B325 (1989) 62
J. Botts and G. Sterman, · 1989
Earlier work this paper cites.
Phys. Lett. B220 (1989) 629
G.P. Korchemsky, · 1989
Earlier work this paper cites.
Phys. Lett. B217 (1989) 330
G.P. Korchemsky, · 1989
Earlier work this paper cites.
Class. Quant. Grav. 6 (1989) 233
F. Delduc and J. McCabe, · 1989
Earlier work this paper cites.
Mod. Phys. Lett. A4 (1989) 1257
G.P. Korchemsky, · 1989
Earlier work this paper cites.
Phys. Rev. D42 (1990) 4222
L. Magnea and G. Sterman, · 1990
Earlier work this paper cites.
Nucl. Phys. B353 (1991) 183
S. Catani and L. Trentadue, · 1991
Earlier work this paper cites.
Phys. Lett. B287 (1992) 169
I.A. Korchemskaya and G.P. Korchemsky, · 1992
Earlier work this paper cites.

Similar

Princeton, USA: Univ. Pr. (1992) 259 p
J. Wess and J. Bagger, · 1992
Cited alongside, same era.
Nucl. Phys. B379 (1992) 451
Z. Bern and D.A. Kosower, · 1992
Cited alongside, same era.
Phys. Lett. B279 (1992) 359, hep-ph/9203222
G.P. Korchemsky and A.V. Radyushkin, · 1992
Cited alongside, same era.
Phys. Lett. B309 (1993) 394
L.N. Lipatov, · 1993
Cited alongside, same era.
Phys. Lett. B313 (1993) 433
G.P. Korchemsky and G. Marchesini, · 1993
Cited alongside, same era.
Phys. Lett. B307 (1993) 132
D.J. Broadhurst, · 1993
Cited alongside, same era.
Phys. Lett. B298 (1993) 363
N.I. Usyukina and A.I. Davydychev, · 1993
Cited alongside, same era.
Phys. Lett. B305 (1993) 136
N.I. Usyukina and A.I. Davydychev, · 1993
Cited alongside, same era.
Nucl. Phys. B406 (1993) 225, hep-ph/9210281
G.P. Korchemsky and G. Marchesini, · 1993
Cited alongside, same era.
Nucl. Phys. B408 (1993) 62, hep-ph/9303314
A. Bassetto et al., · 1993
Cited alongside, same era.
Nucl. Phys. B425 (1994) 217, hep-ph/9403226
Z. Bern et al., · 1994
Cited alongside, same era.
Bristol, UK: IOP (1994) 322 p. (Graduate student series in physics)
D. Bailin and A. Love, · 1994
Cited alongside, same era.

Then

Phys. Lett. B552 (2003) 48, hep-ph/0210130
G. Sterman and M.E. Tejeda-Yeomans, · 2003
Later among the works it cites.
Prog. Part. Nucl. Phys. 51 (2003) 311, hep-ph/0306057
V.M. Braun, G.P. Korchemsky and D. Mueller, · 2003
Later among the works it cites.
Phys. Lett. B567 (2003) 193, hep-ph/0305142
V.A. Smirnov, · 2003
Later among the works it cites.
Nucl. Phys. B682 (2004) 487, hep-th/0310252
N. Beisert, · 2004
Later among the works it cites.
Nucl. Phys. B676 (2004) 3, hep-th/0307015
N. Beisert, · 2004
Later among the works it cites.
JHEP 03 (2004) 004, hep-th/0310182
G. Arutyunov and M. Staudacher, · 2004
Later among the works it cites.
(2004), hep-th/0401243
L. Dolan, C.R. Nappi and E. Witten, · 2004
Later among the works it cites.
Phys. Lett. B594 (2004) 385, hep-th/0403085
A.V. Belitsky et al., · 2004
Later among the works it cites.
Nucl. Phys. B698 (2004) 132, hep-th/0404215
A.V. Ryzhov and A.A. Tseytlin, · 2004
Later among the works it cites.
Phys. Rev. D69 (2004) 046002, hep-th/0305116
I. Bena, J. Polchinski and R. Roiban, · 2004
Later among the works it cites.
JHEP 03 (2004) 037, hep-th/0307018
B.C. Vallilo, · 2004
Later among the works it cites.
JHEP 10 (2004) 016, hep-th/0406256
G. Arutyunov, S. Frolov and M. Staudacher, · 2004
Later among the works it cites.
Commun. Math. Phys. 252 (2004) 189, hep-th/0312171
E. Witten, · 2004
Later among the works it cites.
Phys. Lett. B595 (2004) 521, hep-th/0404092
A.V. Kotikov et al., · 2004
Later among the works it cites.
Nucl. Phys. Proc. Suppl. 135 (2004) 252, hep-ph/0406052
V.A. Smirnov, · 2004
Later among the works it cites.
Phys. Lett. B598 (2004) 55, hep-ph/0406053
G. Heinrich and V.A. Smirnov, · 2004
Later among the works it cites.
Springer Tracts Mod. Phys. 211 (2004) 1
V.A. Smirnov, · 2004
Later among the works it cites.
Nucl. Phys. B708 (2005) 115, hep-th/0409120
A.V. Belitsky et al., · 2005
Later among the works it cites.
JHEP 07 (2005) 045, hep-th/0503192
S.A. Frolov, R. Roiban and A.A. Tseytlin, · 2005
Later among the works it cites.
JHEP 03 (2005) 041, hep-th/0411170
N. Berkovits, · 2005
Later among the works it cites.
JHEP 05 (2005) 054, hep-th/0412188
M. Staudacher, · 2005
Later among the works it cites.
Nucl. Phys. B727 (2005) 1, hep-th/0504190
N. Beisert and M. Staudacher, · 2005
Later among the works it cites.
Phys. Rev. D72 (2005) 085001, hep-th/0505205
Z. Bern, L.J. Dixon and V.A. Smirnov, · 2005
Later among the works it cites.
Nucl. Phys. B715 (2005) 499, hep-th/0412308
R. Britto, F. Cachazo and B. Feng, · 2005
Later among the works it cites.
Phys. Rev. Lett. 94 (2005) 181602, hep-th/0501052
R. Britto et al., · 2005
Later among the works it cites.
Nucl. Phys. B730 (2005) 191, hep-th/0507241
J. Henn, C. Jarczak and E. Sokatchev, · 2005
Later among the works it cites.
Nucl. Phys. B725 (2005) 275, hep-th/0412103
R. Britto, F. Cachazo and B. Feng, · 2005
Later among the works it cites.
Acta Phys. Polon. B36 (2005) 3319, hep-ph/0511187
M. Czakon, J. Gluza and T. Riemann, · 2005
Later among the works it cites.
Phys. Rev. D73 (2006) 086006, hep-th/0603038
R.A. Janik, · 2006
Later among the works it cites.
JHEP 11 (2006) 070, hep-th/0609044
N. Beisert, R. Hernandez and E. Lopez, · 2006
Later among the works it cites.
Phys. Rev. Lett. 97 (2006) 181601, hep-th/0604074
Z. Bern et al., · 2006
Later among the works it cites.
Nucl. Phys. B738 (2006) 409, hep-th/0501234
B. Eden, · 2006
Later among the works it cites.
Annals Phys. 321 (2006) 581, hep-th/0412335
F.A. Dolan and H. Osborn, · 2006
Later among the works it cites.
Phys. Rev. D74 (2006) 045020, hep-th/0602228
F. Cachazo, M. Spradlin and A. Volovich, · 2006
Later among the works it cites.
Phys. Lett. B643 (2006) 195, hep-th/0609158
G.W. Semenoff and D. Young, · 2006
Later among the works it cites.
Comput. Phys. Commun. 175 (2006) 559, hep-ph/0511200
M. Czakon, · 2006
Later among the works it cites.
J. Stat. Mech. 0701 (2007) P021, hep-th/0610251
N. Beisert, B. Eden and M. Staudacher, · 2007
Later among the works it cites.
Phys. Rev. D75 (2007) 085010, hep-th/0610248
Z. Bern et al., · 2007
Later among the works it cites.
JHEP 11 (2007) 016, 0709.0681
R. Roiban and A.A. Tseytlin, · 2007
Later among the works it cites.
Phys. Rev. Lett. 98 (2007) 131603, hep-th/0611135
M.K. Benna et al., · 2007
Later among the works it cites.
Annals Phys. 322 (2007) 1587, 0704.2798
Z. Bern, L.J. Dixon and D.A. Kosower, · 2007
Later among the works it cites.
JHEP 01 (2007) 064, hep-th/0607160
J.M. Drummond et al., · 2007
Later among the works it cites.
Phys. Rev. D76 (2007) 125020, 0705.1864
Z. Bern et al., · 2007
Later among the works it cites.
JHEP 06 (2007) 064, 0705.0303
L.F. Alday and J.M. Maldacena, · 2007
Later among the works it cites.
JHEP 11 (2007) 068, 0710.1060
L.F. Alday and J.M. Maldacena, · 2007
Later among the works it cites.
(2007), 0712.1223
J.M. Drummond et al., · 2007
Later among the works it cites.
Phys. Rev. Lett. 98 (2007) 161303, hep-th/0702112
Z. Bern et al., · 2007
Later among the works it cites.
(2007), 0712.0689
H. Nastase, · 2007
Later among the works it cites.
JHEP 11 (2007) 019, 0708.0672
L.F. Alday and J.M. Maldacena, · 2007
Later among the works it cites.
Phys. Rev. Lett. 100 (2008) 091601, 0708.3933
B. Basso, G.P. Korchemsky and J. Kotanski, · 2008
Later among the works it cites.
JHEP 08 (2008) 101, 0801.2542
I. Kostov, D. Serban and D. Volin, · 2008
Later among the works it cites.
Nucl. Phys. B795 (2008) 385, 0707.0243
J.M. Drummond, G.P. Korchemsky and E. Sokatchev, · 2008
Later among the works it cites.
Nucl. Phys. B794 (2008) 231, 0707.1153
A. Brandhuber, P. Heslop and G. Travaglini, · 2008
Later among the works it cites.
Nucl. Phys. B795 (2008) 52, 0709.2368
J.M. Drummond et al., · 2008
Later among the works it cites.
JHEP 05 (2008) 019, 0801.3274
Z. Komargodski, · 2008
Later among the works it cites.
Phys. Lett. B662 (2008) 456, 0712.4138
J.M. Drummond et al., · 2008
Later among the works it cites.
(2008), 0803.1466
J.M. Drummond et al., · 2008
Later among the works it cites.
Phys. Rev. D78 (2008) 045007, 0803.1465
Z. Bern et al., · 2008
Later among the works it cites.
(2008), 0801.3891
R.C. Brower et al., · 2008
Later among the works it cites.
Phys. Rev. D77 (2008) 045029, 0707.2936
A.V. Belitsky et al., · 2008
Later among the works it cites.
(2008), 0803.0494
Z. Bern et al., · 2008
Later among the works it cites.
(2008), 0804.3310
K. Risager, · 2008
Later among the works it cites.
Phys. Rev. D77 (2008) 025018, 0709.4665
D. Nguyen, M. Spradlin and A. Volovich, · 2008
Later among the works it cites.
(2008), 0801.4574
F. Cachazo and D. Skinner, · 2008
Later among the works it cites.
JHEP 02 (2008) 015, 0710.0393
J. McGreevy and A. Sever, · 2008
Later among the works it cites.
JHEP 05 (2008) 021, 0803.3855
S. Ryang, · 2008
Later among the works it cites.
Nucl. Phys. B791 (2008) 93, 0707.4254
M. Kruczenski et al., · 2008
Later among the works it cites.
JHEP 08 (2008) 022, 0805.3515
L.J. Dixon, L. Magnea and G. Sterman, · 2008
Later among the works it cites.
Phys. Lett. B654 (2007) 46, 0706.2015
E.I. Buchbinder, · 2015
Closest in time.
Phys. Rev. Lett. 81 (1998) 2020, hep-ph/9805225
V.M. Braun, S.E. Derkachov and A.N. Manashov, · 2020
Closest in time.
Phys. Rev. D20 (1979) 2037
A.H. Mueller, · 2037
Closest in time.
(2008), 0802.2065
J. Bartels, L.N. Lipatov and A.S. Vera, · 2065
Closest in time.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…