The Structure of Multiloop Amplitudes in Gauge and Gravity Theories

Z. Bern; John Joseph Carrasco; H. Johansson

doi:10.1016/j.nuclphysbps.2010.08.019

The Structure of Multiloop Amplitudes in Gauge and Gravity Theories

Z. Bern^*, John Joseph Carrasco, H. Johansson

^*Corresponding author for this work

Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We review the recently discovered duality between color and kinematics in gauge theories. This duality leads to a remarkably simple double-copy relation between diagrammatic numerators of gravity scattering amplitudes and gauge-theory ones. We summarize nontrivial evidence that the duality and double-copy property holds to all loop orders. We also comment on other developments, including a proof that the gauge-theory duality leads to the gravity double-copy property, and the identification of gauge-theory Lagrangians whose double copies yield gravity Lagrangians.

Original language	English (US)
Pages (from-to)	54-60
Number of pages	7
Journal	Nuclear Physics B - Proceedings Supplements
Volume	205-206
Issue number	C
DOIs	https://doi.org/10.1016/j.nuclphysbps.2010.08.019
State	Published - Aug 2010

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1016/j.nuclphysbps.2010.08.019

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title = "The Structure of Multiloop Amplitudes in Gauge and Gravity Theories",

abstract = "We review the recently discovered duality between color and kinematics in gauge theories. This duality leads to a remarkably simple double-copy relation between diagrammatic numerators of gravity scattering amplitudes and gauge-theory ones. We summarize nontrivial evidence that the duality and double-copy property holds to all loop orders. We also comment on other developments, including a proof that the gauge-theory duality leads to the gravity double-copy property, and the identification of gauge-theory Lagrangians whose double copies yield gravity Lagrangians.",

author = "Z. Bern and Carrasco, {John Joseph} and H. Johansson",

note = "Funding Information: We thank T. Dennen, L. Dixon, Y. t. Huang, H. Ita, M. Kiermaier and R. Roiban for discussions and collaboration on topics described in this presentation. This research was supported by the US Department of Energy under contract DE– FG03–91ER40662. J.J.M.C. gratefully acknowledges the financial support of a Guy Weyl Physics and Astronomy Alumni Grant. H.J.{\textquoteright}s research is supported by the European Research Council under Advanced Investigator Grant ERC-AdG-228301.",

year = "2010",

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doi = "10.1016/j.nuclphysbps.2010.08.019",

language = "English (US)",

volume = "205-206",

pages = "54--60",

journal = "Nuclear Physics B - Proceedings Supplements",

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AU - Carrasco, John Joseph

AU - Johansson, H.

N1 - Funding Information: We thank T. Dennen, L. Dixon, Y. t. Huang, H. Ita, M. Kiermaier and R. Roiban for discussions and collaboration on topics described in this presentation. This research was supported by the US Department of Energy under contract DE– FG03–91ER40662. J.J.M.C. gratefully acknowledges the financial support of a Guy Weyl Physics and Astronomy Alumni Grant. H.J.’s research is supported by the European Research Council under Advanced Investigator Grant ERC-AdG-228301.

PY - 2010/8

Y1 - 2010/8

N2 - We review the recently discovered duality between color and kinematics in gauge theories. This duality leads to a remarkably simple double-copy relation between diagrammatic numerators of gravity scattering amplitudes and gauge-theory ones. We summarize nontrivial evidence that the duality and double-copy property holds to all loop orders. We also comment on other developments, including a proof that the gauge-theory duality leads to the gravity double-copy property, and the identification of gauge-theory Lagrangians whose double copies yield gravity Lagrangians.

AB - We review the recently discovered duality between color and kinematics in gauge theories. This duality leads to a remarkably simple double-copy relation between diagrammatic numerators of gravity scattering amplitudes and gauge-theory ones. We summarize nontrivial evidence that the duality and double-copy property holds to all loop orders. We also comment on other developments, including a proof that the gauge-theory duality leads to the gravity double-copy property, and the identification of gauge-theory Lagrangians whose double copies yield gravity Lagrangians.

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DO - 10.1016/j.nuclphysbps.2010.08.019

M3 - Article

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SN - 0920-5632

VL - 205-206

SP - 54

EP - 60

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

IS - C

ER -

The Structure of Multiloop Amplitudes in Gauge and Gravity Theories

Abstract

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