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Volumn 2008, Issue 4, 2008, Pages

Explicit cancellation of triangles in one-loop gravity amplitudes

Author keywords

Supersymmetric effective theories; Supersymmetric gauge theory

Indexed keywords


EID: 44449155960     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2008/04/065     Document Type: Article
Times cited : (47)

References (61)
  • 1
    • 0001022103 scopus 로고
    • The ultraviolet properties of supersymmetric field theories
    • P.S. Howe and K.S. Stelle, The ultraviolet properties of supersymmetric field theories 1989 Int. J. Mod. Phys. A 4 1871
    • (1989) Int. J. Mod. Phys. , vol.4 , Issue.8 , pp. 1871
    • Howe, P.S.1    Stelle, K.S.2
  • 2
    • 0037456044 scopus 로고    scopus 로고
    • Supersymmetry counterterms revisited
    • P.S. Howe and K.S. Stelle, Supersymmetry counterterms revisited 2003 Phys. Lett. B 554 190 [hep-th/0211279]
    • (2003) Phys. Lett. , vol.554 , Issue.3-4 , pp. 190
    • Howe, P.S.1    Stelle, K.S.2
  • 3
    • 0000804784 scopus 로고
    • Higher order invariants in extended supergravity
    • P.S. Howe and U. Lindström, Higher order invariants in extended supergravity 1981 Nucl. Phys. B 181 487
    • (1981) Nucl. Phys. , vol.181 , Issue.3 , pp. 487
    • Howe, P.S.1    Lindström, U.2
  • 4
    • 0000070306 scopus 로고
    • Counterterms in extended supergravities
    • R.E. Kallosh, Counterterms in extended supergravities 1981 Phys. Lett. B 99 122
    • (1981) Phys. Lett. , vol.99 , Issue.2 , pp. 122
    • Kallosh, R.E.1
  • 6
    • 34047185857 scopus 로고    scopus 로고
    • Ultraviolet properties of maximal supergravity
    • M.B. Green, J.G. Russo and P. Vanhove, Ultraviolet properties of maximal supergravity 2007 Phys. Rev. Lett. 98 131602 [hep-th/0611273]
    • (2007) Phys. Rev. Lett. , vol.98 , Issue.13 , pp. 131602
    • Green, M.B.1    Russo, J.G.2    Vanhove, P.3
  • 7
    • 34247354052 scopus 로고    scopus 로고
    • Three-loop superfiniteness of N = 8 supergravity
    • Z. Bern et al., Three-loop superfiniteness of N = 8 supergravity 2007 Phys. Rev. Lett. 98 161303 [hep-th/0702112]
    • (2007) Phys. Rev. Lett. , vol.98 , Issue.16 , pp. 161303
    • Bern, Z.1
  • 8
    • 0002575279 scopus 로고
    • A relation between tree amplitudes of closed and open strings
    • H. Kawai, D.C. Lewellen and S.H.H. Tye, A relation between tree amplitudes of closed and open strings 1986 Nucl. Phys. B 269 1
    • (1986) Nucl. Phys. , vol.269 , Issue.1 , pp. 1
    • Kawai, H.1    Lewellen, D.C.2    Tye, S.H.H.3
  • 9
    • 0002392986 scopus 로고
    • On relations between multi-gluon and multigraviton scattering
    • F.A. Berends, W.T. Giele and H. Kuijf, On relations between multi-gluon and multigraviton scattering 1988 Phys. Lett. B 211 91
    • (1988) Phys. Lett. , vol.211 , Issue.1-2 , pp. 91
    • Berends, F.A.1    Giele, W.T.2    Kuijf, H.3
  • 10
    • 0001699038 scopus 로고
    • Gravity as the limit of the type II superstring theory
    • S. Sannan, Gravity as the limit of the type II superstring theory 1986 Phys. Rev. D 34 1749
    • (1986) Phys. Rev. , vol.34 , Issue.6 , pp. 1749
    • Sannan, S.1
  • 11
    • 0003092170 scopus 로고    scopus 로고
    • Perturbative gravity from QCD amplitudes
    • Z. Bern and A.K. Grant, Perturbative gravity from QCD amplitudes 1999 Phys. Lett. B 457 23 [hep-th/9904026]
    • (1999) Phys. Lett. , vol.457 , Issue.1-3 , pp. 23
    • Bern, Z.1    Grant, A.K.2
  • 12
    • 34547662276 scopus 로고    scopus 로고
    • KLT relations from the Einstein-Hilbert Lagrangian
    • S. Ananth and S. Theisen, KLT relations from the Einstein-Hilbert Lagrangian 2007 Phys. Lett. B 652 128 [0706.1778]
    • (2007) Phys. Lett. , vol.652 , Issue.2-3 , pp. 128
    • Ananth, S.1    Theisen, S.2
  • 13
    • 3242757369 scopus 로고    scopus 로고
    • Perturbative quantum gravity and its relation to gauge theory
    • Z. Bern, Perturbative quantum gravity and its relation to gauge theory 2002 Living Rev. Rel. 5 5 [gr-qc/0206071]
    • (2002) Living Rev. Rel. , vol.5 , pp. 5
    • Bern, Z.1
  • 14
    • 0034678186 scopus 로고    scopus 로고
    • On the coupling of gravitons to matter
    • Z. Bern, A. De Freitas and H.L. Wong, On the coupling of gravitons to matter 2000 Phys. Rev. Lett. 84 3531 [hep-th/9912033]
    • (2000) Phys. Rev. Lett. , vol.84 , Issue.16 , pp. 3531
    • Bern, Z.1    De Freitas, A.2    Wong, H.L.3
  • 15
    • 0038071719 scopus 로고    scopus 로고
    • String theory and the mapping of gravity into gauge theory
    • N.E.J. Bjerrum-Bohr, String theory and the mapping of gravity into gauge theory 2003 Phys. Lett. B 560 98 [hep-th/0302131]
    • (2003) Phys. Lett. , vol.560 , Issue.1-2 , pp. 98
    • Bjerrum-Bohr, N.E.J.1
  • 16
    • 0142231877 scopus 로고    scopus 로고
    • Generalized string theory mapping relations between gravity and gauge theory
    • N.E.J. Bjerrum-Bohr, Generalized string theory mapping relations between gravity and gauge theory 2003 Nucl. Phys. B 673 41 [hep-th/0305062]
    • (2003) Nucl. Phys. , vol.673 , Issue.1-2 , pp. 41
    • Bjerrum-Bohr, N.E.J.1
  • 17
    • 84927704132 scopus 로고    scopus 로고
    • String theory and the KLT-relations between gravity and gauge theory including external matter
    • N.E.J. Bjerrum-Bohr and K. Risager, String theory and the KLT-relations between gravity and gauge theory including external matter 2004 Phys. Rev. D 70 086011 [hep-th/0407085]
    • (2004) Phys. Rev. , vol.70 , Issue.8 , pp. 086011
    • Bjerrum-Bohr, N.E.J.1    Risager, K.2
  • 18
    • 0007135308 scopus 로고
    • N = 4 Yang-Mills and N = 8 supergravity as limits of string theories
    • M.B. Green, J.H. Schwarz and L. Brink, N = 4 Yang-Mills and N = 8 supergravity as limits of string theories 1982 Nucl. Phys. B 198 474
    • (1982) Nucl. Phys. , vol.198 , Issue.3 , pp. 474
    • Green, M.B.1    Schwarz, J.H.2    Brink, L.3
  • 19
    • 4244120834 scopus 로고
    • Efficient calculation of one loop QCD amplitudes
    • Z. Bern and D.A. Kosower, Efficient calculation of one loop QCD amplitudes 1991 Phys. Rev. Lett. 66 1669
    • (1991) Phys. Rev. Lett. , vol.66 , Issue.13 , pp. 1669
    • Bern, Z.1    Kosower, D.A.2
  • 20
    • 0011671639 scopus 로고
    • The computation of loop amplitudes in gauge theories
    • N.E.J. Bjerrum-Bohr and K. Risager, The computation of loop amplitudes in gauge theories 1992 Nucl. Phys. B 379 451
    • (1992) Nucl. Phys. , vol.379 , Issue.3 , pp. 451
    • Bjerrum-Bohr, N.E.J.1    Risager, K.2
  • 21
    • 0003083330 scopus 로고
    • A Compact representation of the one loop N gluon amplitude
    • Z. Bern, A Compact representation of the one loop N gluon amplitude 1992 Phys. Lett. B 296 85
    • (1992) Phys. Lett. , vol.296 , Issue.1-2 , pp. 85
    • Bern, Z.1
  • 22
    • 0001582961 scopus 로고
    • String based methods in perturbative gravity
    • Z. Bern, D.C. Dunbar and T. Shimada, String based methods in perturbative gravity 1993 Phys. Lett. B 312 277 [hep-th/9307001]
    • (1993) Phys. Lett. , vol.312 , Issue.3 , pp. 277
    • Bern, Z.1    Dunbar, D.C.2    Shimada, T.3
  • 23
    • 0001077522 scopus 로고
    • Calculation of graviton scattering amplitudes using string based methods
    • D.C. Dunbar and P.S. Norridge, Calculation of graviton scattering amplitudes using string based methods 1995 Nucl. Phys. B 433 181 [hep-th/9408014]
    • (1995) Nucl. Phys. , vol.433 , Issue.1 , pp. 181
    • Dunbar, D.C.1    Norridge, P.S.2
  • 24
    • 0038548297 scopus 로고    scopus 로고
    • Gravity and form scattering and renormalisation of gravity in six and eight dimensions
    • D.C. Dunbar and N.W.P. Turner, Gravity and form scattering and renormalisation of gravity in six and eight dimensions 2003 Class. Quantum Grav. 20 2293 [hep-th/0212160]
    • (2003) Class. Quantum Grav. , vol.20 , Issue.11 , pp. 2293
    • Dunbar, D.C.1    Turner, N.W.P.2
  • 25
    • 0031537879 scopus 로고    scopus 로고
    • Infinities within graviton scattering amplitudes
    • D.C. Dunbar and P.S. Norridge, Infinities within graviton scattering amplitudes 1997 Class. Quantum Grav. 14 351 [hep-th/9512084]
    • (1997) Class. Quantum Grav. , vol.14 , Issue.2 , pp. 351
    • Dunbar, D.C.1    Norridge, P.S.2
  • 26
    • 33646046065 scopus 로고
    • The geometry of string perturbation theory
    • E. D'Hoker and D.H. Phong, The geometry of string perturbation theory 1988 Rev. Mod. Phys. 60 917
    • (1988) Rev. Mod. Phys. , vol.60 , Issue.4 , pp. 917
    • D'Hoker, E.1    Phong, D.H.2
  • 29
    • 34547437238 scopus 로고    scopus 로고
    • Decoupling supergravity from the superstring
    • M.B. Green, H. Ooguri and J.H. Schwarz, Decoupling supergravity from the superstring 2007 Phys. Rev. Lett. 99 041601 [0704.0777]
    • (2007) Phys. Rev. Lett. , vol.99 , Issue.4 , pp. 041601
    • Green, M.B.1    Ooguri, H.2    Schwarz, J.H.3
  • 30
    • 0001333921 scopus 로고
    • Supergravity theory in 11 dimensions
    • E. Cremmer, B. Julia and J. Scherk, Supergravity theory in 11 dimensions 1978 Phys. Lett. B 76 409
    • (1978) Phys. Lett. , vol.76 , Issue.4 , pp. 409
    • Cremmer, E.1    Julia, B.2    Scherk, J.3
  • 31
    • 0003084738 scopus 로고
    • The N = 8 supergravity theory. 1. the lagrangian
    • E. Cremmer and B. Julia, The N = 8 supergravity theory. 1. The lagrangian 1978 Phys. Lett. B 80 48
    • (1978) Phys. Lett. , vol.80 , Issue.1-2 , pp. 48
    • Cremmer, E.1    Julia, B.2
  • 32
    • 11244344133 scopus 로고    scopus 로고
    • Perturbative gauge theory as a string theory in twistor space
    • E. Witten, Perturbative gauge theory as a string theory in twistor space 2004 Comm. Math. Phys. 252 189 [hep-th/0312171]
    • (2004) Comm. Math. Phys. , vol.252 , Issue.1-3 , pp. 189
    • Witten, E.1
  • 33
    • 34250159477 scopus 로고    scopus 로고
    • On-shell methods in perturbative QCD
    • Z. Bern, L.J. Dixon and D.A. Kosower, On-shell methods in perturbative QCD 2007 Ann. Phys. (NY) 322 1587 [0704.2798]
    • (2007) Ann. Phys. (NY) , vol.322 , Issue.7 , pp. 1587
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3
  • 35
    • 33750515066 scopus 로고
    • Helicity amplitudes for multiple bremsstrahlung in massless nonabelian gauge theories
    • Z. Xu, D.-H. Zhang and L. Chang, Helicity amplitudes for multiple bremsstrahlung in massless nonabelian gauge theories 1987 Nucl. Phys. B 291 392
    • (1987) Nucl. Phys. , vol.291 , pp. 392
    • Xu, Z.1    Zhang, D.-H.2    Chang, L.3
  • 36
    • 0032511717 scopus 로고    scopus 로고
    • On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences
    • Z. Bern, L.J. Dixon, D.C. Dunbar, M. Perelstein and J.S. Rozowsky, On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences 1998 Nucl. Phys. B 530 401 [hep-th/9802162]
    • (1998) Nucl. Phys. , vol.530 , Issue.1-2 , pp. 401
    • Bern, Z.1    Dixon, L.J.2    Dunbar, D.C.3    Perelstein, M.4    Rozowsky, J.S.5
  • 37
    • 0034339085 scopus 로고    scopus 로고
    • Perturbative relations between gravity and gauge theory
    • Z. Bern, L.J. Dixon and D.A. Kosower, Perturbative relations between gravity and gauge theory 2000 Class. Quantum Grav. 17 979 [hep-th/9911194]
    • (2000) Class. Quantum Grav. , vol.17 , Issue.5 , pp. 979
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3
  • 38
    • 21444450035 scopus 로고    scopus 로고
    • Inherited twistor-space structure of gravity loop amplitudes
    • Z. Bern, N.E.J. Bjerrum-Bohr and D.C. Dunbar, Inherited twistor-space structure of gravity loop amplitudes 2005 J. High Energy Phys. JHEP05(2005)056 [hep-th/0501137]
    • (2005) J. High Energy Phys. , vol.2005 , Issue.5 , pp. 056
    • Bern, Z.1    Bjerrum-Bohr, N.E.J.2    Dunbar, D.C.3
  • 39
    • 22544446746 scopus 로고    scopus 로고
    • Six-point one-loop N = 8 supergravity NMHV amplitudes and their IR behaviour
    • N.E.J. Bjerrum-Bohr, D.C. Dunbar and H. Ita, Six-point one-loop N = 8 supergravity NMHV amplitudes and their IR behaviour 2005 Phys. Lett. B 621 183 [hep-th/0503102]
    • (2005) Phys. Lett. , vol.621 , Issue.1-2 , pp. 183
    • Bjerrum-Bohr, N.E.J.1    Dunbar, D.C.2    Ita, H.3
  • 41
  • 42
    • 33947687188 scopus 로고    scopus 로고
    • Non-renormalisation conditions in type-II string theory and maximal supergravity
    • M.B. Green, J.G. Russo and P. Vanhove, Non-renormalisation conditions in type-II string theory and maximal supergravity 2007 J. High Energy Phys. JHEP02(2007)099 [hep-th/0610299]
    • (2007) J. High Energy Phys. , vol.2007 , Issue.2 , pp. 099
    • Green, M.B.1    Russo, J.G.2    Vanhove, P.3
  • 43
    • 34547319680 scopus 로고    scopus 로고
    • New higher-derivative R4 theorems
    • 4 theorems 2007 Phys. Rev. Lett. 98 211601 [hep-th/0609006]
    • (2007) Phys. Rev. Lett. , vol.98 , Issue.21 , pp. 211601
    • Berkovits, N.1
  • 44
    • 33846158840 scopus 로고    scopus 로고
    • Multiloop superstring amplitudes from non-minimal pure spinor formalism
    • N. Berkovits and N. Nekrasov, Multiloop superstring amplitudes from non-minimal pure spinor formalism 2006 J. High Energy Phys. JHEP12(2006)029 [hep-th/0609012]
    • (2006) J. High Energy Phys. , vol.2006 , Issue.12 , pp. 029
    • Berkovits, N.1    Nekrasov, N.2
  • 45
    • 38749151913 scopus 로고    scopus 로고
    • One-loop N = 8 supergravity amplitudes from MHV diagrams
    • A. Nasti and G. Travaglini, One-loop N = 8 supergravity amplitudes from MHV diagrams 2007 Class. Quantum Grav. 24 6071 [0706.0976]
    • (2007) Class. Quantum Grav. , vol.24 , Issue.23 , pp. 6071
    • Nasti, A.1    Travaglini, G.2
  • 46
    • 33845636143 scopus 로고    scopus 로고
    • Is N = 8 supergravity ultraviolet finite?
    • Z. Bern, L.J. Dixon and R. Roiban, Is N = 8 supergravity ultraviolet finite? 2007 Phys. Lett. B 644 265 [hep-th/0611086]
    • (2007) Phys. Lett. , vol.644 , Issue.4 , pp. 265
    • Bern, Z.1    Dixon, L.J.2    Roiban, R.3
  • 47
    • 33646063492 scopus 로고
    • One loop amplitudes on orbifolds and the renormalization of coupling constants
    • J.A. Minahan, One loop amplitudes on orbifolds and the renormalization of coupling constants 1988 Nucl. Phys. B 298 36
    • (1988) Nucl. Phys. , vol.298 , Issue.1 , pp. 36
    • Minahan, J.A.1
  • 48
    • 25344445924 scopus 로고
    • Absence of wave function renormalization in Polyakov amplitudes
    • Z. Bern and D.A. Kosower, Absence of wave function renormalization in Polyakov amplitudes 1989 Nucl. Phys. B 321 605
    • (1989) Nucl. Phys. , vol.321 , Issue.3 , pp. 605
    • Bern, Z.1    Kosower, D.A.2
  • 49
    • 0033606018 scopus 로고    scopus 로고
    • Multi-leg one-loop gravity amplitudes from gauge theory
    • Z. Bern, L.J. Dixon, M. Perelstein and J.S. Rozowsky, Multi-leg one-loop gravity amplitudes from gauge theory 1999 Nucl. Phys. B 546 423 [hep-th/9811140]
    • (1999) Nucl. Phys. , vol.546 , Issue.1-2 , pp. 423
    • Bern, Z.1    Dixon, L.J.2    Perelstein, M.3    Rozowsky, J.S.4
  • 51
    • 4243595427 scopus 로고    scopus 로고
    • The low energy expansion of the one-loop type-II superstring amplitude
    • M.B. Green and P. Vanhove, The low energy expansion of the one-loop type-II superstring amplitude 2000 Phys. Rev. D 61 104011 [hep-th/9910056]
    • (2000) Phys. Rev. , vol.61 , Issue.10 , pp. 104011
    • Green, M.B.1    Vanhove, P.2
  • 52
    • 40549124642 scopus 로고    scopus 로고
    • Low energy expansion of the four-particle genus-one amplitude in type-II superstring theory
    • M.B. Green, J.G. Russo and P. Vanhove, Low energy expansion of the four-particle genus-one amplitude in type-II superstring theory 2008 J. High Energy Phys. JHEP02(2008)020 [0801.0322]
    • (2008) J. High Energy Phys. , vol.2008 , Issue.2 , pp. 020
    • Green, M.B.1    Russo, J.G.2    Vanhove, P.3
  • 53
    • 0036274401 scopus 로고    scopus 로고
    • Chiral splitting and world-sheet gravitinos in higher-derivative string amplitudes
    • K. Peeters, P. Vanhove and A. Westerberg, Chiral splitting and world-sheet gravitinos in higher-derivative string amplitudes 2002 Class. Quantum Grav. 19 2699 [hep-th/0112157]
    • (2002) Class. Quantum Grav. , vol.19 , Issue.10 , pp. 2699
    • Peeters, K.1    Vanhove, P.2    Westerberg, A.3
  • 54
    • 0000994632 scopus 로고
    • Dimensionally regulated one loop integrals
    • Z. Bern, L.J. Dixon and D.A. Kosower, Dimensionally regulated one loop integrals 1993 Phys. Lett. B 302 299 [Erratum 1993 J. High Energy Phys. 318 649] [hep-ph/9212308]
    • (1993) Phys. Lett. , vol.302 , Issue.2-3 , pp. 299
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3
  • 55
    • 0042103338 scopus 로고
    • Dimensionally regulated pentagon integrals
    • Z. Bern, L.J. Dixon and D.A. Kosower, Dimensionally regulated pentagon integrals 1994 Nucl. Phys. B 412 751 [hep-ph/9306240]
    • (1994) Nucl. Phys. , vol.412 , Issue.3 , pp. 751
    • Bern, Z.1    Dixon, L.J.2    Kosower, D.A.3


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