Built on

W. Fan, A. Fotopoulos, and T. R. Taylor, “Soft Limits of Yang-Mills Amplitudes and Conformal Correlators,” JHEP
Original
1903
Earlier work this paper cites.
D. Nandan, A. Schreiber, A. Volovich, and M. Zlotnikov, “Celestial Amplitudes: Conformal Partial Waves and Soft Limits,” JHEP
Original
1904
Earlier work this paper cites.
M. Pate, A.-M. Raclariu, and A. Strominger, “Conformally Soft Theorem in Gauge Theory,” Phys. Rev
Original
1904
Earlier work this paper cites.
T. Adamo, L. Mason, and A. Sharma, “Celestial amplitudes and conformal soft theorems,” Class. Quant. Grav
Original
1905
Earlier work this paper cites.
A. Puhm, “Conformally Soft Theorem in Gravity,” JHEP
Original
1905
Earlier work this paper cites.
A. Guevara, “Notes on Conformal Soft Theorems and Recursion Relations in Gravity,” arXiv:1906.07810 [hep-th]
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov, and J. Vines, “Black-hole scattering with general spin directions from minimal-coupling amplitudes,” Phys. Rev. D
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang, and D. O’Connell, “Kerr black holes as elementary particles,” JHEP
Original
1906
Earlier work this paper cites.
S. Choi and R. Akhoury, “Subleading soft dressings of asymptotic states in QED and perturbative quantum gravity,” JHEP
Original
1907
Earlier work this paper cites.
A. H. Anupam and A. P. V., “Generalized coherent states in QCD from asymptotic symmetries,” Phys. Rev. D
Original
1907
Earlier work this paper cites.
Y. T. A. Law and M. Zlotnikov, “Poincare constraints on celestial amplitudes,” JHEP
Original
1910
Earlier work this paper cites.
A. Fotopoulos, S. Stieberger, T. R. Taylor, and B. Zhu, “Extended BMS Algebra of Celestial CFT,” JHEP
Original
1912
Earlier work this paper cites.
M. v. d. B. H. Bondi and A. Metzner, “Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,” Proc.Roy.Soc.Lond
1962
Earlier work this paper cites.
R. Sachs, “Gravitational waves in general relativity. 8. Waves in asymptotically flat space-times,” Proc.Roy.Soc.Lond
1962
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev
1965
Earlier work this paper cites.
M. Lévy and J. Sucher, “Eikonal approximation in quantum field theory,” Phys. Rev
1969
Earlier work this paper cites.
M. Levy and J. Sucher, “Eikonal approximation in quantum field theory,” Phys. Rev
1969
Earlier work this paper cites.
G. Tiktopoulos and S. Treiman, “Validity of the relativistic eikonal approximation,” Physical Review D
1970
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, G. Parisi, and R. Gatto, “The shadow operator formalism for conformal algebra. vacuum expectation values and operator products,” Lettere al Nuovo Cimento (1971-1985)
1972
Earlier work this paper cites.
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
1978
Earlier work this paper cites.
T. Dray and G. ’t Hooft, “The Gravitational Shock Wave of a Massless Particle,” Nucl. Phys. B
1985
Earlier work this paper cites.
G. Hooft, “Graviton dominance in ultra-high-energy scattering,” Physics Letters B
1987
Earlier work this paper cites.
D. N. Kabat and M. Ortiz, “Eikonal quantum gravity and Planckian scattering,” Nucl. Phys. B
1992
Earlier work this paper cites.
G. T. Horowitz and N. Itzhaki, “Black holes, shock waves, and causality in the ads/cft correspondence,” Journal of High Energy Physics
1999
Earlier work this paper cites.
S. Banerjee, S. Ghosh, and R. Gonzo, “BMS symmetry of celestial OPE,” JHEP
Original
2002
Earlier work this paper cites.
J. de Boer and S. N. Solodukhin, “A Holographic reduction of Minkowski space-time,” Nucl. Phys
2003
Earlier work this paper cites.
W. Fan, A. Fotopoulos, S. Stieberger, and T. R. Taylor, “On Sugawara construction on Celestial Sphere,” JHEP
Original
2005
Earlier work this paper cites.
E. Himwich, S. A. Narayanan, M. Pate, N. Paul, and A. Strominger, “The Soft 𝒮 \mathcal{S} -Matrix in Gravity,” JHEP
Original
2005
Earlier work this paper cites.
E. Hijano and D. Neuenfeld, “Soft photon theorems from CFT Ward identites in the flat limit of AdS/CFT,” JHEP
Original
2005
Earlier work this paper cites.
L. Donnay, S. Pasterski, and A. Puhm, “Asymptotic Symmetries and Celestial CFT,” JHEP
Original
2005
Earlier work this paper cites.
A. Cristofoli, “Gravitational shock waves and scattering amplitudes,” JHEP
Original
2006
Earlier work this paper cites.

Similar

M. Accettulli Huber, A. Brandhuber, S. De Angelis, and G. Travaglini, “Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity,” Phys. Rev. D
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Then

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D. Kapec, M. Perry, A.-M. Raclariu, and A. Strominger, “Infrared Divergences in QED, Revisited,” Phys. Rev
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2022

Eikonal Approximation in Celestial CFT

de Gioia, Leonardo Pipolo, Raclariu, Ana-Maria

Understand

We identify an eikonal regime in celestial CFT$_2$ in which massless 2-2 scattering is dominated by t-channel exchange.

We derive a formula for the celestial amplitude that resums exchanges of arbitrary integer spin to all orders in the coupling.
The resulting eikonal phase takes the same form as in flat space with the powers of center-of-mass energy replaced by weight-shifting operators on the celestial sphere.
We independently compute the celestial two-point function for a scalar propagating in a shockwave background and show that to leading order in the gravitational coupling and for a suitable choice of the source, the result agrees with the prediction from the celestial eikonal formula for graviton exchange.

Built on

W. Fan, A. Fotopoulos, and T. R. Taylor, “Soft Limits of Yang-Mills Amplitudes and Conformal Correlators,” JHEP
Original
1903
Earlier work this paper cites.
D. Nandan, A. Schreiber, A. Volovich, and M. Zlotnikov, “Celestial Amplitudes: Conformal Partial Waves and Soft Limits,” JHEP
Original
1904
Earlier work this paper cites.
M. Pate, A.-M. Raclariu, and A. Strominger, “Conformally Soft Theorem in Gauge Theory,” Phys. Rev
Original
1904
Earlier work this paper cites.
T. Adamo, L. Mason, and A. Sharma, “Celestial amplitudes and conformal soft theorems,” Class. Quant. Grav
Original
1905
Earlier work this paper cites.
A. Puhm, “Conformally Soft Theorem in Gravity,” JHEP
Original
1905
Earlier work this paper cites.
A. Guevara, “Notes on Conformal Soft Theorems and Recursion Relations in Gravity,” arXiv:1906.07810 [hep-th]
Original
1906
Earlier work this paper cites.
A. Guevara, A. Ochirov, and J. Vines, “Black-hole scattering with general spin directions from minimal-coupling amplitudes,” Phys. Rev. D
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang, and D. O’Connell, “Kerr black holes as elementary particles,” JHEP
Original
1906
Earlier work this paper cites.
S. Choi and R. Akhoury, “Subleading soft dressings of asymptotic states in QED and perturbative quantum gravity,” JHEP
Original
1907
Earlier work this paper cites.
A. H. Anupam and A. P. V., “Generalized coherent states in QCD from asymptotic symmetries,” Phys. Rev. D
Original
1907
Earlier work this paper cites.
Y. T. A. Law and M. Zlotnikov, “Poincare constraints on celestial amplitudes,” JHEP
Original
1910
Earlier work this paper cites.
A. Fotopoulos, S. Stieberger, T. R. Taylor, and B. Zhu, “Extended BMS Algebra of Celestial CFT,” JHEP
Original
1912
Earlier work this paper cites.
M. v. d. B. H. Bondi and A. Metzner, “Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,” Proc.Roy.Soc.Lond
1962
Earlier work this paper cites.
R. Sachs, “Gravitational waves in general relativity. 8. Waves in asymptotically flat space-times,” Proc.Roy.Soc.Lond
1962
Earlier work this paper cites.
S. Weinberg, “Infrared photons and gravitons,” Phys. Rev
1965
Earlier work this paper cites.
M. Lévy and J. Sucher, “Eikonal approximation in quantum field theory,” Phys. Rev
1969
Earlier work this paper cites.
M. Levy and J. Sucher, “Eikonal approximation in quantum field theory,” Phys. Rev
1969
Earlier work this paper cites.
G. Tiktopoulos and S. Treiman, “Validity of the relativistic eikonal approximation,” Physical Review D
1970
Earlier work this paper cites.
S. Ferrara, A. F. Grillo, G. Parisi, and R. Gatto, “The shadow operator formalism for conformal algebra. vacuum expectation values and operator products,” Lettere al Nuovo Cimento (1971-1985)
1972
Earlier work this paper cites.
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
1978
Earlier work this paper cites.
T. Dray and G. ’t Hooft, “The Gravitational Shock Wave of a Massless Particle,” Nucl. Phys. B
1985
Earlier work this paper cites.
G. Hooft, “Graviton dominance in ultra-high-energy scattering,” Physics Letters B
1987
Earlier work this paper cites.
D. N. Kabat and M. Ortiz, “Eikonal quantum gravity and Planckian scattering,” Nucl. Phys. B
1992
Earlier work this paper cites.
G. T. Horowitz and N. Itzhaki, “Black holes, shock waves, and causality in the ads/cft correspondence,” Journal of High Energy Physics
1999
Earlier work this paper cites.
S. Banerjee, S. Ghosh, and R. Gonzo, “BMS symmetry of celestial OPE,” JHEP
Original
2002
Earlier work this paper cites.
J. de Boer and S. N. Solodukhin, “A Holographic reduction of Minkowski space-time,” Nucl. Phys
2003
Earlier work this paper cites.
W. Fan, A. Fotopoulos, S. Stieberger, and T. R. Taylor, “On Sugawara construction on Celestial Sphere,” JHEP
Original
2005
Earlier work this paper cites.
E. Himwich, S. A. Narayanan, M. Pate, N. Paul, and A. Strominger, “The Soft 𝒮 \mathcal{S} -Matrix in Gravity,” JHEP
Original
2005
Earlier work this paper cites.
E. Hijano and D. Neuenfeld, “Soft photon theorems from CFT Ward identites in the flat limit of AdS/CFT,” JHEP
Original
2005
Earlier work this paper cites.
L. Donnay, S. Pasterski, and A. Puhm, “Asymptotic Symmetries and Celestial CFT,” JHEP
Original
2005
Earlier work this paper cites.
A. Cristofoli, “Gravitational shock waves and scattering amplitudes,” JHEP
Original
2006
Earlier work this paper cites.

Similar

M. Accettulli Huber, A. Brandhuber, S. De Angelis, and G. Travaglini, “Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity,” Phys. Rev. D
Original
2006
Cited alongside, same era.
A. Fotopoulos, S. Stieberger, T. R. Taylor, and B. Zhu, “Extended Super BMS Algebra of Celestial CFT,” JHEP
Original
2007
Cited alongside, same era.
E. Casali and A. Puhm, “Double Copy for Celestial Amplitudes,” Phys. Rev. Lett
Original
2007
Cited alongside, same era.
S. Albayrak, C. Chowdhury, and S. Kharel, “On loop celestial amplitudes for gauge theory and gravity,” Phys. Rev. D
Original
2007
Cited alongside, same era.
L. Cornalba, M. S. Costa, and J. Penedones, “Eikonal approximation in AdS/CFT: Resumming the gravitational loop expansion,” JHEP

Then

S. Pasterski and S.-H. Shao, “Conformal basis for flat space amplitudes,” Phys. Rev
Original
2017
Later among the works it cites.
C. Cheung, A. de la Fuente, and R. Sundrum, “4D scattering amplitudes and asymptotic symmetries from 2D CFT,” JHEP
Original
2017
Later among the works it cites.
D. Kapec, M. Perry, A.-M. Raclariu, and A. Strominger, “Infrared Divergences in QED, Revisited,” Phys. Rev
Original
2017
Later among the works it cites.
N. Afkhami-Jeddi, T. Hartman, S. Kundu, and A. Tajdini, “Einstein gravity 3-point functions from conformal field theory,” JHEP
Original
2017
Later among the works it cites.
S. Stieberger and T. R. Taylor, “Strings on Celestial Sphere,” Nucl. Phys

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2007

Cited alongside, same era.

L. Cornalba, M. S. Costa, J. Penedones, and R. Schiappa, “Eikonal Approximation in AdS/CFT: From Shock Waves to Four-Point Functions,” JHEP

2007

Cited alongside, same era.

Cambridge University Press, 1, 2007

M. Srednicki, Quantum field theory · 2007

Cited alongside, same era.

S. Banerjee, S. Ghosh, and P. Paul, “MHV graviton scattering amplitudes and current algebra on the celestial sphere,” JHEP

Original

2008

Cited alongside, same era.

H. A. González, A. Puhm, and F. Rojas, “Loop corrections to celestial amplitudes,” Phys. Rev. D

Original

2009

Cited alongside, same era.

G. Barnich and C. Troessaert, “Symmetries of asymptotically flat four-dimensional spacetimes at null infinity revisited,” Phys. Rev. Lett

2010

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G. Barnich and C. Troessaert, “Supertranslations call for superrotations,” PoS

Original

2010

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G. Barnich and C. Troessaert, “BMS charge algebra,” JHEP

Original

2011

Cited alongside, same era.

Original

2018