Double copy theory

Double copy theory is a theory in theoretical physics 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 x 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 was proven to work at tree level and at higher orders,[1] including at fourth post-Minkowskian order.[5] The theory has been applied to black holes.[6]

See also

References

  1. Bern, Zvi; Carrasco, John Joseph M; Johansson, Henrik (2010). "Perturbative Quantum Gravity as a Double Copy of Gauge Theory". Physical Review Letters. 105 (6). arXiv:1004.0476. Bibcode:2010PhRvL.105f1602B. doi:10.1103/PhysRevLett.105.061602.
  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). arXiv:1210.1110. doi:10.1007/JHEP02(2013)127.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: 97–186.
  4. White, C. D. (12 January 2018). "The double copy: gravity from gluons". Contemporary Physics. 59 (2): 109–125.
  5. 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. doi:10.1103/PhysRevLett.126.171601. ISSN 0031-9007.
  6. Monteiro, Ricardo; O'Connell, Donal; White, Chris D (2014). "Black holes and the double copy". Journal of High Energy Physics. 2014 (12). arXiv:1410.0239. Bibcode:2014JHEP...12..056M. doi:10.1007/JHEP12(2014)056.


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