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Double copy theory

April 16, 2024

Double copy theory is a theory in theoretical physics, specifically in quantum gravity, that hypothesizes a perturbative duality between gauge theory and gravity. The theory says that scattering amplitudes in non-Abelian gauge theories can be factorized such that replacement of the color factor by additional kinematic dependence factor, in a well-defined way, automatically leads to gravity scattering amplitudes. It was first written down by Zvi Bern, John Joseph Carrasco and Henrik Johansson in 2010 [1] and was sometimes known as the BCJ duality after its creators[2] or as "gravity = gauge × gauge".[3]

The theory can be used to make calculations of gravity scattering amplitudes simpler by instead calculating the Yang–Mills amplitude and following the double copy prescription.[4] This technique has been used, for example, to calculate the shape of gravitational waves emitted by two merging black hole.[5][6] This was proven to work at tree level and at higher orders,[1] including at fourth post-Minkowskian order.[7] The theory has been applied to black holes.[8]

See also edit

References edit

  1. ^ a b Bern, Zvi; Carrasco, John Joseph M; Johansson, Henrik (2010). "Perturbative Quantum Gravity as a Double Copy of Gauge Theory". Physical Review Letters. 105 (6): 061602. arXiv:1004.0476. Bibcode:2010PhRvL.105f1602B. doi:10.1103/PhysRevLett.105.061602. PMID 20867971. S2CID 35590493.
  2. ^ Oxburgh, S. and White, C.D. (22 February 2013). "BCJ duality and the double copy in the soft limit". J. High Energy Phys. 2013 (127): 127. arXiv:1210.1110. Bibcode:2013JHEP...02..127O. doi:10.1007/JHEP02(2013)127. S2CID 119175289.{{cite journal}}: CS1 maint: multiple names: authors list (link)
  3. ^ Borsten, L. (11 March 2020). "Gravity as the square of gauge theory: a review". La Rivista del Nuovo Cimento. 43 (3): 97–186. Bibcode:2020NCimR..43...97B. doi:10.1007/s40766-020-00003-6. S2CID 216347827.
  4. ^ White, C. D. (12 January 2018). "The double copy: gravity from gluons". Contemporary Physics. 59 (2): 109–125. arXiv:1708.07056. Bibcode:2018ConPh..59..109W. doi:10.1080/00107514.2017.1415725. S2CID 118863994.
  5. ^ Goldberger, Walter D.; Ridgway, Alexander K. (2017-06-30). "Radiation and the classical double copy for color charges". Physical Review D. 95 (12): 125010. arXiv:1611.03493. Bibcode:2017PhRvD..95l5010G. doi:10.1103/PhysRevD.95.125010. S2CID 22057355.
  6. ^ Wood, Charlie (2022-03-29). "Massive Black Holes Shown to Act Like Quantum Particles". Quanta Magazine. Retrieved 2022-04-06.
  7. ^ Bern, Zvi; Parra-Martinez, Julio; Roiban, Radu; Ruf, Michael S.; Shen, Chia-Hsien; Solon, Mikhail P.; Zeng, Mao (2021-04-26). "Scattering Amplitudes and Conservative Binary Dynamics at ${\cal O}(G^4)$". Physical Review Letters. 126 (17): 171601. arXiv:2101.07254. doi:10.1103/PhysRevLett.126.171601. ISSN 0031-9007. PMID 33988437.
  8. ^ Monteiro, Ricardo; O'Connell, Donal; White, Chris D (2014). "Black holes and the double copy". Journal of High Energy Physics. 2014 (12): 56. arXiv:1410.0239. Bibcode:2014JHEP...12..056M. doi:10.1007/JHEP12(2014)056. S2CID 52994864.

External links edit

  • Wood, Charlie (2021-05-04). "How Gravity Is a Double Copy of Other Forces". Quanta Magazine. Retrieved 2021-05-09.
  • "KLT relations". nLab.


 

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April 16, 2024
double, copy, theory, theory, theoretical, physics, specifically, quantum, gravity, that, hypothesizes, perturbative, duality, between, gauge, theory, gravity, theory, says, that, scattering, amplitudes, abelian, gauge, theories, factorized, such, that, replac. Double copy theory is a theory in theoretical physics specifically in quantum gravity that hypothesizes a perturbative duality between gauge theory and gravity The theory says that scattering amplitudes in non Abelian gauge theories can be factorized such that replacement of the color factor by additional kinematic dependence factor in a well defined way automatically leads to gravity scattering amplitudes It was first written down by Zvi Bern John Joseph Carrasco and Henrik Johansson in 2010 1 and was sometimes known as the BCJ duality after its creators 2 or as gravity gauge gauge 3 The theory can be used to make calculations of gravity scattering amplitudes simpler by instead calculating the Yang Mills amplitude and following the double copy prescription 4 This technique has been used for example to calculate the shape of gravitational waves emitted by two merging black hole 5 6 This was proven to work at tree level and at higher orders 1 including at fourth post Minkowskian order 7 The theory has been applied to black holes 8 See also editDuality Yang Mills theory N 8 supergravityReferences edit a b Bern Zvi Carrasco John Joseph M Johansson Henrik 2010 Perturbative Quantum Gravity as a Double Copy of Gauge Theory Physical Review Letters 105 6 061602 arXiv 1004 0476 Bibcode 2010PhRvL 105f1602B doi 10 1103 PhysRevLett 105 061602 PMID 20867971 S2CID 35590493 Oxburgh S and White C D 22 February 2013 BCJ duality and the double copy in the soft limit J High Energy Phys 2013 127 127 arXiv 1210 1110 Bibcode 2013JHEP 02 127O doi 10 1007 JHEP02 2013 127 S2CID 119175289 a href Template Cite journal html title Template Cite journal cite journal a CS1 maint multiple names authors list link Borsten L 11 March 2020 Gravity as the square of gauge theory a review La Rivista del Nuovo Cimento 43 3 97 186 Bibcode 2020NCimR 43 97B doi 10 1007 s40766 020 00003 6 S2CID 216347827 White C D 12 January 2018 The double copy gravity from gluons Contemporary Physics 59 2 109 125 arXiv 1708 07056 Bibcode 2018ConPh 59 109W doi 10 1080 00107514 2017 1415725 S2CID 118863994 Goldberger Walter D Ridgway Alexander K 2017 06 30 Radiation and the classical double copy for color charges Physical Review D 95 12 125010 arXiv 1611 03493 Bibcode 2017PhRvD 95l5010G doi 10 1103 PhysRevD 95 125010 S2CID 22057355 Wood Charlie 2022 03 29 Massive Black Holes Shown to Act Like Quantum Particles Quanta Magazine Retrieved 2022 04 06 Bern Zvi Parra Martinez Julio Roiban Radu Ruf Michael S Shen Chia Hsien Solon Mikhail P Zeng Mao 2021 04 26 Scattering Amplitudes and Conservative Binary Dynamics at cal O G 4 Physical Review Letters 126 17 171601 arXiv 2101 07254 doi 10 1103 PhysRevLett 126 171601 ISSN 0031 9007 PMID 33988437 Monteiro Ricardo O Connell Donal White Chris D 2014 Black holes and the double copy Journal of High Energy Physics 2014 12 56 arXiv 1410 0239 Bibcode 2014JHEP 12 056M doi 10 1007 JHEP12 2014 056 S2CID 52994864 External links editWood Charlie 2021 05 04 How Gravity Is a Double Copy of Other Forces Quanta Magazine Retrieved 2021 05 09 KLT relations nLab nbsp This quantum mechanics related article is a stub You can help Wikipedia by expanding it vte nbsp This relativity related article is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Double copy theory amp oldid 1191037845, wikipedia, wiki, book, books, library,

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