메뉴 건너뛰기




Volumn 2012, Issue 8, 2012, Pages

Mellin amplitudes for dual conformal integrals

Author keywords

AdS CFT Correspondence; Conformal and W Symmetry; Duality in Gauge Field Theories; Scattering Amplitudes

Indexed keywords


EID: 84865265227     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP08(2012)072     Document Type: Article
Times cited : (79)

References (62)
  • 2
    • 0347164882 scopus 로고    scopus 로고
    • Large-N field theories, string theory and gravity
    • hep-th/9905111
    • 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) 183 hep-th/9905111.
    • (2000) Phys. Rept. , vol.323 , pp. 183
    • Aharony, O.1    Gubser, S.S.2    Maldacena, J.M.3    Ooguri, H.4    Oz, Y.5
  • 3
    • 84856167999 scopus 로고    scopus 로고
    • Review of AdS/CFT integrability: An overview
    • arXiv:1012.3982
    • N. Beisert et al., Review of AdS/CFT Integrability: An Overview, Lett. Math. Phys. 99 (2012) 3 arXiv:1012.3982.
    • (2012) Lett. Math. Phys. , vol.99 , pp. 3
    • Beisert, N.1
  • 4
    • 80755168219 scopus 로고    scopus 로고
    • Special issue: Scattering amplitudes in gauge theories: Progress and outlook
    • R. Roiban, M. Spradlin and A. Volovich eds., Special issue: Scattering amplitudes in gauge theories: progress and outlook, J. Phys. A 44 (2011) 450301.
    • (2011) J. Phys. A , vol.44 , pp. 450301
    • Roiban, R.1    Spradlin, M.2    Volovich, A.3
  • 5
    • 24944555508 scopus 로고    scopus 로고
    • Anti-de Sitter space and holography
    • hep-th/9802150
    • E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 hep-th/9802150.
    • (1998) Adv. Theor. Math. Phys. , vol.2 , pp. 253
    • Witten, E.1
  • 8
    • 80053138808 scopus 로고    scopus 로고
    • Writing CFT correlation functions as AdS scattering amplitudes
    • arXiv:1011.1485
    • J. Penedones, Writing CFT correlation functions as AdS scattering amplitudes, JHEP 03 (2011) 025 arXiv:1011.1485.
    • (2011) JHEP , vol.3 , pp. 025
    • Penedones, J.1
  • 9
    • 84861838532 scopus 로고    scopus 로고
    • Towards Feynman rules for Mellin amplitudes
    • arXiv:1107.1504
    • M.F. Paulos, Towards Feynman rules for Mellin amplitudes, JHEP 10 (2011) 074 arXiv:1107.1504.
    • (2011) JHEP , vol.10 , pp. 074
    • Paulos, M.F.1
  • 10
    • 84861818639 scopus 로고    scopus 로고
    • On Feynman rules for Mellin amplitudes in AdS/CFT
    • arXiv:1112.0305
    • D. Nandan, A. Volovich and C. Wen, On Feynman rules for Mellin amplitudes in AdS/CFT, JHEP 05 (2012) 129 arXiv:1112.0305.
    • (2012) JHEP , vol.5 , pp. 129
    • Nandan, D.1    Volovich, A.2    Wen, C.3
  • 14
    • 3843135456 scopus 로고    scopus 로고
    • The Boundary S matrix and the AdS to CFT dictionary
    • hep-th/9903048
    • S.B. Giddings, The Boundary S matrix and the AdS to CFT dictionary, Phys. Rev. Lett. 83 (1999) 2707 hep-th/9903048.
    • (1999) Phys. Rev. Lett. , vol.83 , pp. 2707
    • Giddings, S.B.1
  • 15
    • 79960759072 scopus 로고    scopus 로고
    • String scattering in flat space and a scaling limit of yang-mills correlators
    • arXiv:1002.2641
    • T. Okuda and J. Penedones, String scattering in flat space and a scaling limit of Yang-Mills correlators, Phys. Rev. D 83 (2011) 086001 arXiv:1002.2641.
    • (2011) Phys. Rev. D , vol.83 , pp. 086001
    • Okuda, T.1    Penedones, J.2
  • 18
    • 34547681641 scopus 로고    scopus 로고
    • Gluon scattering amplitudes at strong coupling
    • arXiv:0705.0303
    • L.F. Alday and J.M. Maldacena, Gluon scattering amplitudes at strong coupling, JHEP 06 (2007) 064 arXiv:0705.0303.
    • (2007) JHEP , vol.6 , pp. 064
    • Alday, L.F.1    Maldacena, J.M.2
  • 19
    • 39149098442 scopus 로고    scopus 로고
    • On planar gluon amplitudeswilson loops duality
    • arXiv:0709.2368
    • J. Drummond, J. Henn, G. Korchemsky and E. Sokatchev, On planar gluon amplitudes/Wilson loops duality, Nucl. Phys. B 795 (2008) 52 arXiv:0709.2368.
    • (2008) Nucl. Phys. B , vol.795 , pp. 52
    • Drummond, J.1    Henn, J.2    Korchemsky, G.3    Sokatchev, E.4
  • 20
    • 71649089588 scopus 로고    scopus 로고
    • Conformal ward identities for wilson loops and a test of the duality with gluon amplitudes
    • arXiv:0712.1223
    • J. Drummond, J. Henn, G. Korchemsky and E. Sokatchev, Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes, Nucl. Phys. B 826 (2010) 337 arXiv:0712.1223.
    • (2010) Nucl. Phys. B , vol.826 , pp. 337
    • Drummond, J.1    Henn, J.2    Korchemsky, G.3    Sokatchev, E.4
  • 21
    • 72149096509 scopus 로고    scopus 로고
    • Dual superconformal symmetry of scattering amplitudes in n = 4 super-yang-mills theory
    • arXiv:0807.1095
    • J. Drummond, J. Henn, G. Korchemsky and E. Sokatchev, Dual superconformal symmetry of scattering amplitudes in N = 4 super-Yang-Mills theory, Nucl. Phys. B 828 (2010) 317 arXiv:0807.1095.
    • (2010) Nucl. Phys. B , vol.828 , pp. 317
    • Drummond, J.1    Henn, J.2    Korchemsky, G.3    Sokatchev, E.4
  • 22
    • 33947628733 scopus 로고    scopus 로고
    • Magic identities for conformal four-point integrals
    • hep-th/0607160
    • J. Drummond, J. Henn, V. Smirnov and E. Sokatchev, Magic identities for conformal four-point integrals, JHEP 01 (2007) 064 hep-th/0607160.
    • (2007) JHEP , vol.1 , pp. 064
    • Drummond, J.1    Henn, J.2    Smirnov, V.3    Sokatchev, E.4
  • 23
    • 84864210265 scopus 로고    scopus 로고
    • Local integrals for planar scattering amplitudes
    • arXiv:1012.6032
    • N. Arkani-Hamed, J.L. Bourjaily, F. Cachazo and J. Trnka, Local integrals for planar scattering amplitudes, JHEP 06 (2012) 125 arXiv:1012.6032.
    • (2012) JHEP , vol.6 , pp. 125
    • Arkani-Hamed, N.1    Bourjaily, J.L.2    Cachazo, F.3    Trnka, J.4
  • 25
    • 0000632007 scopus 로고
    • One loop n point gauge theory amplitudes, unitarity and collinear limits
    • hep-ph/9403226
    • Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, One loop n point gauge theory amplitudes, unitarity and collinear limits, Nucl. Phys. B 425 (1994) 217 hep-ph/9403226.
    • (1994) Nucl. Phys. B , vol.425 , pp. 217
    • Bern, Z.1    Dixon, L.J.2    Dunbar, D.C.3    Kosower, D.A.4
  • 26
    • 0003149712 scopus 로고
    • Fusing gauge theory tree amplitudes into loop amplitudes
    • hep-ph/9409265
    • Z. Bern, L.J. Dixon, D.C. Dunbar and D.A. Kosower, Fusing gauge theory tree amplitudes into loop amplitudes, Nucl. Phys. B 435 (1995) 59 hep-ph/9409265.
    • (1995) Nucl. Phys. B , vol.435 , pp. 59
    • Bern, Z.1    Dixon, L.J.2    Dunbar, D.C.3    Kosower, D.A.4
  • 27
    • 37349078996 scopus 로고    scopus 로고
    • Maximally supersymmetric planar yang-mills amplitudes at five loops
    • arXiv:0705.1864
    • Z. Bern, J. Carrasco, H. Johansson and D. Kosower, Maximally supersymmetric planar Yang-Mills amplitudes at five loops, Phys. Rev. D 76 (2007) 125020 arXiv:0705.1864.
    • (2007) Phys. Rev. D , vol.76 , pp. 125020
    • Bern, Z.1    Carrasco, J.2    Johansson, H.3    Kosower, D.4
  • 28
    • 80053092049 scopus 로고    scopus 로고
    • The all-loop integrand for scattering amplitudes in planar N = 4 SYM
    • arXiv:1008.2958
    • N. Arkani-Hamed, J.L. Bourjaily, F. Cachazo, S. Caron-Huot and J. Trnka, The all-loop integrand for scattering amplitudes in planar N = 4 SYM, JHEP 01 (2011) 041 arXiv:1008.2958.
    • (2011) JHEP , vol.1 , pp. 041
    • Arkani-Hamed, N.1    Bourjaily, J.L.2    Cachazo, F.3    Caron-Huot, S.4    Trnka, J.5
  • 29
    • 80053116221 scopus 로고    scopus 로고
    • Loops and trees
    • arXiv:1007.3224
    • S. Caron-Huot, Loops and trees, JHEP 05 (2011) 080 arXiv:1007.3224.
    • (2011) JHEP , vol.5 , pp. 080
    • Caron-Huot, S.1
  • 30
    • 78649695798 scopus 로고    scopus 로고
    • On BCFW shifts of integrands and integrals
    • arXiv:1008.3101
    • R.H. Boels, On BCFW shifts of integrands and integrals, JHEP 11 (2010) 113 arXiv:1008.3101.
    • (2010) JHEP , vol.11 , pp. 113
    • Boels, R.H.1
  • 31
    • 0007116846 scopus 로고
    • Polylogarithms and Motivic Galois groups
    • A.B. Goncharov, Polylogarithms and Motivic Galois groups, Proc. Symp. Pure Math. 55 (1994) 43.
    • (1994) Proc. Symp. Pure Math. , vol.55 , pp. 43
    • Goncharov, A.B.1
  • 32
    • 0032219342 scopus 로고    scopus 로고
    • Multiple polylogarithms, cyclotomy and modular complexes
    • arXiv:1105.2076
    • A.B. Goncharov, Multiple polylogarithms, cyclotomy and modular complexes, Math. Res. Lett. 5 (1998) 497 arXiv:1105.2076.
    • (1998) Math. Res. Lett. , vol.5 , pp. 497
    • Goncharov, A.B.1
  • 33
    • 22544437289 scopus 로고    scopus 로고
    • Galois symmetries of fundamental groupoids and noncommutative geometry
    • math/0208144
    • A.B. Goncharov, Galois symmetries of fundamental groupoids and noncommutative geometry, Duke Math J. 128 (2005) 209 math/0208144.
    • (2005) Duke Math J. , vol.128 , pp. 209
    • Goncharov, A.B.1
  • 34
    • 77957775566 scopus 로고    scopus 로고
    • Classical polylogarithms for amplitudes and wilson loops
    • arXiv:1006.5703
    • A.B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, Classical Polylogarithms for Amplitudes and Wilson Loops, Phys. Rev. Lett. 105 (2010) 151605 arXiv:1006.5703.
    • (2010) Phys. Rev. Lett. , vol.105 , pp. 151605
    • Goncharov, A.B.1    Spradlin, M.2    Vergu, C.3    Volovich, A.4
  • 35
    • 84255187306 scopus 로고    scopus 로고
    • Pulling the straps of polygons
    • arXiv:1102.0062
    • D. Gaiotto, J. Maldacena, A. Sever and P. Vieira, Pulling the straps of polygons, JHEP 12 (2011) 011 arXiv:1102.0062.
    • (2011) JHEP , vol.12 , pp. 011
    • Gaiotto, D.1    Maldacena, J.2    Sever, A.3    Vieira, P.4
  • 36
    • 80052266905 scopus 로고    scopus 로고
    • The massless hexagon integral in d = 6 dimensions
    • arXiv:1104.2781
    • V. Del Duca, C. Duhr and V.A. Smirnov, The massless hexagon integral in D = 6 dimensions, Phys. Lett. B 703 (2011) 363 arXiv:1104.2781.
    • (2011) Phys. Lett. B , vol.703 , pp. 363
    • Del Duca, V.1    Duhr, C.2    Smirnov, V.A.3
  • 37
    • 80053158597 scopus 로고    scopus 로고
    • The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in N = 4 SYM
    • arXiv:1104.2787
    • L.J. Dixon, J.M. Drummond and J.M. Henn, The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in N = 4 SYM, JHEP 06 (2011) 100 arXiv:1104.2787.
    • (2011) JHEP , vol.6 , pp. 100
    • Dixon, L.J.1    Drummond, J.M.2    Henn, J.M.3
  • 38
    • 80053233537 scopus 로고    scopus 로고
    • The one-loop one-mass hexagon integral in D = 6 dimensions
    • arXiv:1105.1333
    • V. Del Duca, C. Duhr and V.A. Smirnov, The one-loop one-mass hexagon integral in D = 6 dimensions, JHEP 07 (2011) 064 arXiv:1105.1333.
    • (2011) JHEP , vol.7 , pp. 064
    • Del Duca, V.1    Duhr, C.2    Smirnov, V.A.3
  • 39
    • 80052856021 scopus 로고    scopus 로고
    • The one-loop six-dimensional hexagon integral with three massive corners
    • arXiv:1105.2011
    • V. Del Duca et al., The one-loop six-dimensional hexagon integral with three massive corners, Phys. Rev. D 84 (2011) 045017 arXiv:1105.2011.
    • (2011) Phys. Rev. D , vol.84 , pp. 045017
    • Del Duca, V.1
  • 40
    • 84865246717 scopus 로고    scopus 로고
    • Symbols of one-loop integrals from mixed Tate motives
    • arXiv:1105.2024
    • M. Spradlin and A. Volovich, Symbols of one-loop integrals from mixed Tate motives, JHEP 11 (2011) 084 arXiv:1105.2024.
    • (2011) JHEP , vol.11 , pp. 084
    • Spradlin, M.1    Volovich, A.2
  • 41
    • 81255144417 scopus 로고    scopus 로고
    • Bootstrapping the three-loop hexagon
    • arXiv:1108.4461
    • L.J. Dixon, J.M. Drummond and J.M. Henn, Bootstrapping the three-loop hexagon, JHEP 11 (2011) 023 arXiv:1108.4461.
    • (2011) JHEP , vol.11 , pp. 023
    • Dixon, L.J.1    Drummond, J.M.2    Henn, J.M.3
  • 42
    • 84255186379 scopus 로고    scopus 로고
    • Wilson loops @ 3-loops in special kinematics
    • arXiv:1109.0058
    • P. Heslop and V.V. Khoze, Wilson loops @ 3-loops in special kinematics, JHEP 11 (2011) 152 arXiv:1109.0058.
    • (2011) JHEP , vol.11 , pp. 152
    • Heslop, P.1    Khoze, V.V.2
  • 44
    • 84857344943 scopus 로고    scopus 로고
    • Analytic result for the two-loop six-point NMHV amplitude in N = 4 super Yang-Mills theory
    • arXiv:1111.1704
    • L.J. Dixon, J.M. Drummond and J.M. Henn, Analytic result for the two-loop six-point NMHV amplitude in N = 4 super Yang-Mills theory, JHEP 01 (2012) 024 arXiv:1111.1704.
    • (2012) JHEP , vol.1 , pp. 024
    • Dixon, L.J.1    Drummond, J.M.2    Henn, J.M.3
  • 45
    • 84864419053 scopus 로고    scopus 로고
    • Jumpstarting the all-loop S-matrix of planar N = 4 super Yang-Mills
    • arXiv:1112.1060
    • S. Caron-Huot and S. He, Jumpstarting the all-loop S-matrix of planar N = 4 super Yang-Mills, JHEP 07 (2012) 174 arXiv:1112.1060.
    • (2012) JHEP , vol.7 , pp. 174
    • Caron-Huot, S.1    He, S.2
  • 46
    • 84860175122 scopus 로고    scopus 로고
    • All two-loop mhv amplitudes in multi-regge kinematics from applied symbology
    • arXiv:1112.6365
    • A. Prygarin, M. Spradlin, C. Vergu and A. Volovich, All Two-Loop MHV Amplitudes in Multi-Regge Kinematics From Applied Symbology, Phys. Rev. D 85 (2012) 085019 arXiv:1112.6365.
    • (2012) Phys. Rev. D , vol.85 , pp. 085019
    • Prygarin, A.1    Spradlin, M.2    Vergu, C.3    Volovich, A.4
  • 47
    • 84861911239 scopus 로고    scopus 로고
    • Analytic two-loop form factors in N = 4 SYM
    • arXiv:1201.4170
    • A. Brandhuber, G. Travaglini and G. Yang, Analytic two-loop form factors in N = 4 SYM, JHEP 05 (2012) 082 arXiv:1201.4170.
    • (2012) JHEP , vol.5 , pp. 082
    • Brandhuber, A.1    Travaglini, G.2    Yang, G.3
  • 49
    • 10944231095 scopus 로고    scopus 로고
    • Analytic treatment of the two loop equal mass sunrise graph
    • hep-ph/0406160
    • S. Laporta and E. Remiddi, Analytic treatment of the two loop equal mass sunrise graph, Nucl. Phys. B 704 (2005) 349 hep-ph/0406160.
    • (2005) Nucl. Phys. B , vol.704 , pp. 349
    • Laporta, S.1    Remiddi, E.2
  • 50
    • 80053135909 scopus 로고    scopus 로고
    • New differential equations for on-shell loop integrals
    • arXiv:1010.3679
    • J.M. Drummond, J.M. Henn and J. Trnka, New differential equations for on-shell loop integrals, JHEP 04 (2011) 083 arXiv:1010.3679.
    • (2011) JHEP , vol.4 , pp. 083
    • Drummond, J.M.1    Henn, J.M.2    Trnka, J.3
  • 51
    • 0642377784 scopus 로고
    • An approach to the evaluation of three and four point ladder diagrams
    • N. Usyukina and A.I. Davydychev, An approach to the evaluation of three and four point ladder diagrams, Phys. Lett. B 298 (1993) 363.
    • (1993) Phys. Lett. B , vol.298 , pp. 363
    • Usyukina, N.1    Davydychev, A.I.2
  • 52
    • 80053157993 scopus 로고    scopus 로고
    • Simple loop integrals and amplitudes in N = 4 SYM
    • arXiv:1008.2965
    • J.M. Drummond and J.M. Henn, Simple loop integrals and amplitudes in N = 4 SYM, JHEP 05 (2011) 105 arXiv:1008.2965.
    • (2011) JHEP , vol.5 , pp. 105
    • Drummond, J.M.1    Henn, J.M.2
  • 54
    • 0000960072 scopus 로고
    • Nwave equations in conformal space
    • P.A.M. Dirac,nWave equations in conformal space, Annals Math. 37 (1936) 429.
    • (1936) Annals Math. , vol.37 , pp. 429
    • Dirac, P.A.M.1
  • 55
    • 77956919584 scopus 로고    scopus 로고
    • Six-dimensional methods for four-dimensional conformal field theories
    • arXiv:1006.3480
    • S. Weinberg, Six-dimensional Methods for Four-dimensional Conformal Field Theories, Phys. Rev. D 82 (2010) 045031 arXiv:1006.3480.
    • (2010) Phys. Rev. D , vol.82 , pp. 045031
    • Weinberg, S.1
  • 56
    • 84255186384 scopus 로고    scopus 로고
    • Spinning conformal blocks
    • arXiv:1109.6321
    • M.S. Costa, J. Penedones, D. Poland and S. Rychkov, Spinning conformal blocks, JHEP 11 (2011) 154 arXiv:1109.6321.
    • (2011) JHEP , vol.11 , pp. 154
    • Costa, M.S.1    Penedones, J.2    Poland, D.3    Rychkov, S.4
  • 57
    • 81255176325 scopus 로고    scopus 로고
    • Spinning conformal correlators
    • arXiv:1107.3554
    • M.S. Costa, J. Penedones, D. Poland and S. Rychkov, Spinning conformal correlators, JHEP 11 (2011) 071 arXiv:1107.3554.
    • (2011) JHEP , vol.11 , pp. 071
    • Costa, M.S.1    Penedones, J.2    Poland, D.3    Rychkov, S.4
  • 58
    • 51249190706 scopus 로고
    • On calculations in conformal invariant field theories
    • K. Symanzik, On calculations in conformal invariant field theories, Lett. Nuovo Cim. 3 (1972) 734.
    • (1972) Lett. Nuovo Cim. , vol.3 , pp. 734
    • Symanzik, K.1
  • 60
    • 0042103338 scopus 로고
    • Dimensionally regulated pentagon integrals
    • hep-ph/9306240
    • Z. Bern, L.J. Dixon and D.A. Kosower, Dimensionally regulated pentagon integrals, Nucl. Phys. B 412 (1994) 751 hep-ph/9306240.
    • (1994) Nucl. Phys. B , vol.412 , pp. 751
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3
  • 62
    • 84865210069 scopus 로고    scopus 로고
    • in preparation
    • M. Paulos, in preparation.
    • Paulos, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.