Built on

A. Koemans Collado, P. Di Vecchia, and R. Russo, Revisiting the second post-Minkowskian eikonal and the dynamics of binary black holes
Original
1904
Earlier work this paper cites.
M. A. Oancea, C. F. Paganini, J. Joudioux, and L. Andersson, An overview of the gravitational spin Hall effect
Original
1904
Earlier work this paper cites.
R. Kumar, B. P. Singh, and S. G. Ghosh, Shadow and deflection angle of rotating black hole in asymptotically safe gravity
Original
1904
Earlier work this paper cites.
M. Difallah, A. Szameit, and M. Ornigotti, Path-integral description of quantum nonlinear optics in arbitrary media
Original
1904
Earlier work this paper cites.
B. Maybee, D. O’Connell, and J. Vines, Observables and amplitudes for spinning particles and black holes
Original
1906
Earlier work this paper cites.
P. Di Vecchia, A. Luna, S. G. Naculich, R. Russo, G. Veneziano, and C. D. White, A tale of two exponentiations in 𝒩 = 8 {\cal N}=8 supergravity
Original
1908
Earlier work this paper cites.
P. Di Vecchia, S. G. Naculich, R. Russo, G. Veneziano, and C. D. White, A tale of two exponentiations in 𝒩 \mathcal{N} = 8 supergravity at subleading level
Original
1911
Earlier work this paper cites.
E. Fradkin, Application of functional methods in quantum field theory and quantum statistics (II)
1966
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, Superstring Collisions at Planckian Energies
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, Higher Order Gravitational Deflection and Soft Bremsstrahlung in Planckian Energy Superstring Collisions
1990
Earlier work this paper cites.
F. Bastianelli and P. van Nieuwenhuizen, Trace anomalies from quantum mechanics
1993
Earlier work this paper cites.
M. Fabbrichesi, R. Pettorino, G. Veneziano, and G. A. Vilkovisky, Planckian energy scattering and surface terms in the gravitational action
1994
Earlier work this paper cites.
J. F. Donoghue, General relativity as an effective field theory: The leading quantum corrections
1994
Earlier work this paper cites.
K. Daikouji, M. Shino, and Y. Sumino, Bern-Kosower rule for scalar QED
1996
Earlier work this paper cites.
C. Schubert, Perturbative quantum field theory in the string inspired formalism
2001
Earlier work this paper cites.
Z. Bern, H. Ita, J. Parra-Martinez, and M. S. Ruf, Universality in the classical limit of massless gravitational scattering
Original
2002
Earlier work this paper cites.
F. Bastianelli and A. Zirotti, Worldline formalism in a gravitational background
2002
Earlier work this paper cites.
A. Cristofoli, P. H. Damgaard, P. Di Vecchia, and C. Heissenberg, Second-order Post-Minkowskian scattering in arbitrary dimensions
Original
2003
Earlier work this paper cites.
M. A. Oancea, J. Joudioux, I. Y. Dodin, D. E. Ruiz, C. F. Paganini, and L. Andersson, Gravitational spin Hall effect of light
Original
2003
Earlier work this paper cites.
N. Ahmadiniaz, V. M. Banda Guzmán, F. Bastianelli, O. Corradini, J. P. Edwards, and C. Schubert, Worldline master formulas for the dressed electron propagator. Part I. Off-shell amplitudes
Original
2004
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, J. F. Donoghue, and B. R. Holstein, Quantum gravitational corrections to the nonrelativistic scattering potential of two masses
2005
Earlier work this paper cites.
J. Parra-Martinez, M. S. Ruf, and M. Zeng, Extremal black hole scattering at 𝒪 ⁡ ( G 3 ) \mathcal{O}(G^{3}) : graviton dominance, eikonal exponentiation, and differential equations
Original
2005
Earlier work this paper cites.
Z. Bern, A. Luna, R. Roiban, C.-H. Shen, and M. Zeng, Spinning black hole binary dynamics, scattering amplitudes, and effective field theory
Original
2005
Earlier work this paper cites.

Similar

F. Bastianelli, P. Benincasa, and S. Giombi, Worldline approach to vector and antisymmetric tensor fields
2005
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F. Bastianelli, P. Benincasa, and S. Giombi, Worldline approach to vector and antisymmetric tensor fields. II
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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
Original
2006
Cited alongside, same era.

Then

N. E. J. Bjerrum-Bohr, B. R. Holstein, L. Planté, and P. Vanhove, Graviton-Photon Scattering
Original
2015
Later among the works it cites.
N. Ahmadiniaz, A. Bashir, and C. Schubert, Multiphoton amplitudes and generalized Landau-Khalatnikov-Fradkin transformation in scalar QED
Original
2016
Later among the works it cites.
N. Ahmadiniaz, F. Bastianelli, and O. Corradini, Dressed scalar propagator in a non-Abelian background from the worldline formalism
Original
2016
Later among the works it cites.
N. E. J. Bjerrum-Bohr, J. F. Donoghue, B. R. Holstein, L. Plante, and P. Vanhove, Light-like Scattering in Quantum Gravity
Original
2016
Later among the works it cites.
J. P. Edwards and C. Schubert, One-particle reducible contribution to the one-loop scalar propagator in a constant field

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2021

Light bending from eikonal in worldline quantum field theory

Bastianelli, Fiorenzo, Comberiati, Francesco, de la Cruz, Leonardo

Understand

Using the worldline quantum field theory (WQFT) formalism for classical scattering, we study the deflection of light by a heavy massive spinless/spinning object.

WQFT requires the use of the worldline dressed propagator of a photon in a gravitational background, which we construct from first principles.
The action required to set up the worldline path integral is constructed using auxiliary variables, which describe dynamically the spin degrees of freedom of the photon and take care of path ordering.
We test the fully regulated path integral by recovering the photon--photon-graviton vertex.

Built on

A. Koemans Collado, P. Di Vecchia, and R. Russo, Revisiting the second post-Minkowskian eikonal and the dynamics of binary black holes
Original
1904
Earlier work this paper cites.
M. A. Oancea, C. F. Paganini, J. Joudioux, and L. Andersson, An overview of the gravitational spin Hall effect
Original
1904
Earlier work this paper cites.
R. Kumar, B. P. Singh, and S. G. Ghosh, Shadow and deflection angle of rotating black hole in asymptotically safe gravity
Original
1904
Earlier work this paper cites.
M. Difallah, A. Szameit, and M. Ornigotti, Path-integral description of quantum nonlinear optics in arbitrary media
Original
1904
Earlier work this paper cites.
B. Maybee, D. O’Connell, and J. Vines, Observables and amplitudes for spinning particles and black holes
Original
1906
Earlier work this paper cites.
P. Di Vecchia, A. Luna, S. G. Naculich, R. Russo, G. Veneziano, and C. D. White, A tale of two exponentiations in 𝒩 = 8 {\cal N}=8 supergravity
Original
1908
Earlier work this paper cites.
P. Di Vecchia, S. G. Naculich, R. Russo, G. Veneziano, and C. D. White, A tale of two exponentiations in 𝒩 \mathcal{N} = 8 supergravity at subleading level
Original
1911
Earlier work this paper cites.
E. Fradkin, Application of functional methods in quantum field theory and quantum statistics (II)
1966
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, Superstring Collisions at Planckian Energies
1987
Earlier work this paper cites.
D. Amati, M. Ciafaloni, and G. Veneziano, Higher Order Gravitational Deflection and Soft Bremsstrahlung in Planckian Energy Superstring Collisions
1990
Earlier work this paper cites.
F. Bastianelli and P. van Nieuwenhuizen, Trace anomalies from quantum mechanics
1993
Earlier work this paper cites.
M. Fabbrichesi, R. Pettorino, G. Veneziano, and G. A. Vilkovisky, Planckian energy scattering and surface terms in the gravitational action
1994
Earlier work this paper cites.
J. F. Donoghue, General relativity as an effective field theory: The leading quantum corrections
1994
Earlier work this paper cites.
K. Daikouji, M. Shino, and Y. Sumino, Bern-Kosower rule for scalar QED
1996
Earlier work this paper cites.
C. Schubert, Perturbative quantum field theory in the string inspired formalism
2001
Earlier work this paper cites.
Z. Bern, H. Ita, J. Parra-Martinez, and M. S. Ruf, Universality in the classical limit of massless gravitational scattering
Original
2002
Earlier work this paper cites.
F. Bastianelli and A. Zirotti, Worldline formalism in a gravitational background
2002
Earlier work this paper cites.
A. Cristofoli, P. H. Damgaard, P. Di Vecchia, and C. Heissenberg, Second-order Post-Minkowskian scattering in arbitrary dimensions
Original
2003
Earlier work this paper cites.
M. A. Oancea, J. Joudioux, I. Y. Dodin, D. E. Ruiz, C. F. Paganini, and L. Andersson, Gravitational spin Hall effect of light
Original
2003
Earlier work this paper cites.
N. Ahmadiniaz, V. M. Banda Guzmán, F. Bastianelli, O. Corradini, J. P. Edwards, and C. Schubert, Worldline master formulas for the dressed electron propagator. Part I. Off-shell amplitudes
Original
2004
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, J. F. Donoghue, and B. R. Holstein, Quantum gravitational corrections to the nonrelativistic scattering potential of two masses
2005
Earlier work this paper cites.
J. Parra-Martinez, M. S. Ruf, and M. Zeng, Extremal black hole scattering at 𝒪 ⁡ ( G 3 ) \mathcal{O}(G^{3}) : graviton dominance, eikonal exponentiation, and differential equations
Original
2005
Earlier work this paper cites.
Z. Bern, A. Luna, R. Roiban, C.-H. Shen, and M. Zeng, Spinning black hole binary dynamics, scattering amplitudes, and effective field theory
Original
2005
Earlier work this paper cites.

Similar

F. Bastianelli, P. Benincasa, and S. Giombi, Worldline approach to vector and antisymmetric tensor fields
2005
Cited alongside, same era.
F. Bastianelli, P. Benincasa, and S. Giombi, Worldline approach to vector and antisymmetric tensor fields. II
2005
Cited alongside, same era.
W. D. Goldberger and I. Z. Rothstein, An Effective field theory of gravity for extended objects
2006
Cited alongside, same era.
W. D. Goldberger and I. Z. Rothstein, Towers of Gravitational Theories
2006
Cited alongside, same era.
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
Original
2006
Cited alongside, same era.