×

On BMS invariance of gravitational scattering. (English) Zbl 1392.81215


MSC:

81U05 \(2\)-body potential quantum scattering theory
83C45 Quantization of the gravitational field
83C57 Black holes
81R15 Operator algebra methods applied to problems in quantum theory

References:

[1] H. Bondi, M.G.J. van der Burg and A.W.K. Metzner, Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems, Proc. Roy. Soc. Lond.A 269 (1962) 21 [INSPIRE]. · Zbl 0106.41903 · doi:10.1098/rspa.1962.0161
[2] R.K. Sachs, Gravitational waves in general relativity. 8. Waves in asymptotically flat space-times, Proc. Roy. Soc. Lond.A 270 (1962) 103 [INSPIRE]. · Zbl 0101.43605 · doi:10.1098/rspa.1962.0206
[3] A. Ashtekar and R.O. Hansen, A unified treatment of null and spatial infinity in general relativity. I - Universal structure, asymptotic symmetries and conserved quantities at spatial infinity, J. Math. Phys.19 (1978) 1542 [INSPIRE]. · doi:10.1063/1.523863
[4] A. Ashtekar, Asymptotic Quantization of the Gravitational Field, Phys. Rev. Lett.46 (1981) 573 [INSPIRE]. · doi:10.1103/PhysRevLett.46.573
[5] A. Ashtekar and M. Streubel, Symplectic Geometry of Radiative Modes and Conserved Quantities at Null Infinity, Proc. Roy. Soc. Lond.A 376 (1981) 585 [INSPIRE]. · doi:10.1098/rspa.1981.0109
[6] A. Ashtekar, Asymptotic Quantization: Based On 1984 Naples Lectures, Bibliopolis, Naples Italy (1987). · Zbl 0621.53064
[7] S. Weinberg, Infrared photons and gravitons, Phys. Rev.140 (1965) B516. · doi:10.1103/PhysRev.140.B516
[8] S. Weinberg, The Quantum theory of fields. Vol. 1: Foundations, Cambridge University Press, Cambridge U.K. (1995). · Zbl 0959.81002 · doi:10.1017/CBO9781139644167
[9] P.P. Kulish and L.D. Faddeev, Asymptotic conditions and infrared divergences in quantum electrodynamics, Theor. Math. Phys.4 (1970) 745 [INSPIRE]. · Zbl 0197.26201 · doi:10.1007/BF01066485
[10] J. Ware, R. Saotome and R. Akhoury, Construction of an asymptotic S matrix for perturbative quantum gravity, JHEP10 (2013) 159 [arXiv:1308.6285] [INSPIRE]. · doi:10.1007/JHEP10(2013)159
[11] D. Christodoulou and S. Klainerman, The Global nonlinear stability of the Minkowski space, Princeton University Press, Princeton U.S.A. (1993). · Zbl 0827.53055
[12] T. He, V. Lysov, P. Mitra and A. Strominger, BMS Supertranslations and Weinberg’s Soft Graviton Theorem, arXiv:1401.7026 [INSPIRE]. · Zbl 1388.83261
[13] G. Barnich and C. Troessaert, Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited, Phys. Rev. Lett.105 (2010) 111103 [arXiv:0909.2617] [INSPIRE]. · doi:10.1103/PhysRevLett.105.111103
[14] G. Barnich and C. Troessaert, Supertranslations call for superrotations, PoS(CNCFG2010)010 [arXiv:1102.4632] [INSPIRE].
[15] G. Barnich and C. Troessaert, BMS charge algebra, JHEP12 (2011) 105 [arXiv:1106.0213] [INSPIRE]. · Zbl 1306.83002 · doi:10.1007/JHEP12(2011)105
[16] T. Banks, A Critique of pure string theory: Heterodox opinions of diverse dimensions, hep-th/0306074 [INSPIRE].
[17] A.P. Balachandran and S. Vaidya, Spontaneous Lorentz Violation in Gauge Theories, Eur. Phys. J. Plus128 (2013) 118 [arXiv:1302.3406] [INSPIRE]. · doi:10.1140/epjp/i2013-13118-9
[18] J. Maldacena and A. Zhiboedov, Notes on Soft Factors, unpublished (2012) and private communication. · Zbl 1294.81121
[19] A. Strominger, Asymptotic Symmetries of Yang-Mills Theory, arXiv:1308.0589 [INSPIRE]. · Zbl 1333.81273
[20] G. Barnich and P.-H. Lambert, Einstein- Yang-Mills theory: Asymptotic symmetries, Phys. Rev.D 88 (2013) 103006 [arXiv:1310.2698] [INSPIRE].
[21] G. Barnich and C. Troessaert, Comments on holographic current algebras and asymptotically flat four dimensional spacetimes at null infinity, JHEP11 (2013) 003 [arXiv:1309.0794] [INSPIRE]. · Zbl 1342.83228 · doi:10.1007/JHEP11(2013)003
[22] R.M. Wald, General Relativity, Chicago University Press, Chicago U.S.A. (1984). · Zbl 0549.53001 · doi:10.7208/chicago/9780226870373.001.0001
[23] D. Christodoulou, Nonlinear nature of gravitation and gravitational wave experiments, Phys. Rev. Lett.67 (1991) 1486 [INSPIRE]. · Zbl 0990.83504 · doi:10.1103/PhysRevLett.67.1486
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.