Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
Original
1901
Earlier work this paper cites.
A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent, and J. Vines, Energetics of two-body Hamiltonians in post-Minkowskian gravity
Original
1901
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems
Original
1903
Earlier work this paper cites.
T. He and P. Mitra, Asymptotic symmetries in (d + 2)-dimensional gauge theories
Original
1903
Earlier work this paper cites.
K. Kajantie, L. D. McLerran, and R. Paatelainen, Gluon Radiation from a Classical Point Particle
Original
1903
Earlier work this paper cites.
K. Kowalski, J. Rembieliński, and J.-P. Gazeau, On the coherent states for a relativistic scalar particle
Original
1903
Earlier work this paper cites.
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. Carrillo González, B. Melcher, K. Ratliff, S. Watson, and C. D. White, The classical double copy in three spacetime dimensions
Original
1904
Earlier work this paper cites.
W. Cho and K. Lee, Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
Original
1904
Earlier work this paper cites.
A. Brandhuber and G. Travaglini, On higher-derivative effects on the gravitational potential and particle bending
Original
1905
Earlier work this paper cites.
A. Cristofoli, N. Bjerrum-Bohr, P. H. Damgaard, and P. Vanhove, Post-Minkowskian Hamiltonians in general relativity
Original
1906
Earlier work this paper cites.
A. Laddha and A. Sen, Classical proof of the classical soft graviton theorem in D > 4 D>4
Original
1906
Earlier work this paper cites.
J. Plefka, C. Shi, J. Steinhoff, and T. Wang, Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO
Original
1906
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.
A. Guevara, A. Ochirov, and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang, and D. O’Connell, Kerr black holes as elementary particles
Original
1906
Earlier work this paper cites.
R. Gonzo, T. McLoughlin, D. Medrano, and A. Spiering, Asymptotic Charges and Coherent States in QCD
Original
1906
Earlier work this paper cites.
A. P.V. and A. Manu, Classical double copy from Color Kinematics duality: A proof in the soft limit
Original
1907
Earlier work this paper cites.
A. Campoleoni, D. Francia, and C. Heissenberg, Electromagnetic and color memory in even dimensions
Original
1907
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, Black Hole Binary Dynamics from the Double Copy and Effective Theory
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad, and A. Helset, Heavy Black Hole Effective Theory
Original
1908
Earlier work this paper cites.
M. Carrillo González, R. Penco, and M. Trodden, Shift symmetries, soft limits, and the double copy beyond leading order
Original
1908
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, On the Double Copy for Spinning Matter
Original
1908
Earlier work this paper cites.
M.-Z. Chung, Y.-T. Huang, and J.-W. Kim, Classical potential for general spinning bodies
Original
1908
Earlier work this paper cites.
A. Ochirov and B. Page, Multi-Quark Colour Decompositions from Unitarity
Original
1908
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, The Duality Between Color and Kinematics and its Applications
Original
1909
Earlier work this paper cites.
N. Moynihan, Kerr-Newman from Minimal Coupling
Original
1909
Earlier work this paper cites.
G. Kälin and R. A. Porto, From Boundary Data to Bound States
Original
1910
Earlier work this paper cites.
N. Bjerrum-Bohr, A. Cristofoli, and P. H. Damgaard, Post-Minkowskian Scattering Angle in Einstein Gravity
Original
1910
Earlier work this paper cites.
I. Bah, R. Dempsey, and P. Weck, Kerr-Schild Double Copy and Complex Worldlines
Original
1910
Earlier work this paper cites.
G. Kälin and R. A. Porto, From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist)
Original
1911
Earlier work this paper cites.
M. Accettulli Huber, A. Brandhuber, S. De Angelis, and G. Travaglini, Note on the absence of R 2 R^{2} corrections to Newton’s potential
Original
1911
Earlier work this paper cites.
Y.-T. Huang, U. Kol, and D. O’Connell, Double copy of electric-magnetic duality
Original
1911
Earlier work this paper cites.
R. Alawadhi, D. S. Berman, B. Spence, and D. Peinador Veiga, S-duality and the double copy
Original
1911
Earlier work this paper cites.
L. Borsten, I. Jubb, V. Makwana, and S. Nagy, Gauge × gauge on spheres
Original
1911
Earlier work this paper cites.
M.-Z. Chung, Y.-T. Huang, and J.-W. Kim, Kerr-Newman stress-tensor from minimal coupling to all orders in spin
Original
1911
Earlier work this paper cites.
K. Kajantie, L. D. McLerran, and R. Paatelainen, Gluon Radiation from a classical point particle II: dense gluon fields
Original
1911
Earlier work this paper cites.
A. P. Saha, B. Sahoo, and A. Sen, Proof of the classical soft graviton theorem in D D = 4
Original
1912
Earlier work this paper cites.
K. Kim, K. Lee, R. Monteiro, I. Nicholson, and D. Peinador Veiga, The Classical Double Copy of a Point Charge
Original
1912
Earlier work this paper cites.
A. Banerjee, E. Colgáin, J. Rosabal, and H. Yavartanoo, Ehlers as EM duality in the double copy
Original
1912
Earlier work this paper cites.
S. Wong, Field and particle equations for the classical Yang-Mills field and particles with isotopic spin
1970
Earlier work this paper cites.
A. M. Perelomov, Coherent states for arbitrary Lie group
1972
Earlier work this paper cites.
G. Kaiser, Phase Space Approach to Relativistic Quantum Mechanics. 1. Coherent State Representation for Massive Scalar Particles
1977
Earlier work this paper cites.
M. Lüscher, Asymptotic behaviour of classical Yang-Mills fields in Minkowski space
1978
Earlier work this paper cites.
L. G. Yaffe, Large N Limits as Classical Mechanics
1982
Earlier work this paper cites.
U. W. Heinz, Kinetic Theory for Nonabelian Plasmas
1983
Earlier work this paper cites.
U. W. Heinz, A Relativistic Colored Spinning Particle in an External Color Field
1984
Earlier work this paper cites.

Similar

U. W. Heinz, Quark - Gluon Transport Theory. Part 1. the Classical Theory
1985
Cited alongside, same era.
U. W. Heinz, Quark - Gluon Transport Theory. Part 2. Color Response and Color Correlations in a Quark - Gluon Plasma
1986
Cited alongside, same era.
Springer, 1986
A. Perelomov, Generalized coherent states and their applications · 1986
Cited alongside, same era.
H.-T. Elze and U. W. Heinz, Quark - Gluon Transport Theory
1989
Cited alongside, same era.
S. Twareque Ali and J. Antoine, Coherent states of the 1+1 dimensional Poincare group: Square integrability and a relativistic Weyl transform
1989
Cited alongside, same era.
J. F. Donoghue, Leading quantum correction to the Newtonian potential
1994
Cited alongside, same era.

Then

E. Chacón, H. García-Compeán, A. Luna, R. Monteiro, and C. D. White, New heavenly double copies
Original
2008
Later among the works it cites.
G. L. Almeida, S. Foffa, and R. Sturani, Classical Gravitational Self-Energy from Double Copy
Original
2008
Later among the works it cites.
M. Mathur, I. Raychowdhury, and R. Anishetty, SU(N) Irreducible Schwinger Bosons
Original
2010
Later among the works it cites.
M. Mathur and I. Raychowdhury, SU(N) Coherent States and Irreducible Schwinger Bosons
Original
2011
Later among the works it cites.
Springer, 2012
M. Combescure and D. Robert, Coherent States and Applications in Mathematical Physics · 2012
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

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Reading the bibliography…

2020

Classical Yang-Mills observables from amplitudes

de la Cruz, Leonardo, Maybee, Ben, O'Connell, Donal et al.

Understand

The double copy suggests that the basis of the dynamics of general relativity is Yang-Mills theory.

Motivated by the importance of the relativistic two-body problem, we study the classical dynamics of colour-charged particle scattering from the perspective of amplitudes, rather than equations of motion.
We explain how to compute the change of colour, and the radiation of colour, during a classical collision.
We apply our formalism at next-to-leading order for the colour change and at leading order for colour radiation.

Built on

Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
Original
1901
Earlier work this paper cites.
A. Antonelli, A. Buonanno, J. Steinhoff, M. van de Meent, and J. Vines, Energetics of two-body Hamiltonians in post-Minkowskian gravity
Original
1901
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems
Original
1903
Earlier work this paper cites.
T. He and P. Mitra, Asymptotic symmetries in (d + 2)-dimensional gauge theories
Original
1903
Earlier work this paper cites.
K. Kajantie, L. D. McLerran, and R. Paatelainen, Gluon Radiation from a Classical Point Particle
Original
1903
Earlier work this paper cites.
K. Kowalski, J. Rembieliński, and J.-P. Gazeau, On the coherent states for a relativistic scalar particle
Original
1903
Earlier work this paper cites.
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. Carrillo González, B. Melcher, K. Ratliff, S. Watson, and C. D. White, The classical double copy in three spacetime dimensions
Original
1904
Earlier work this paper cites.
W. Cho and K. Lee, Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
Original
1904
Earlier work this paper cites.
A. Brandhuber and G. Travaglini, On higher-derivative effects on the gravitational potential and particle bending
Original
1905
Earlier work this paper cites.
A. Cristofoli, N. Bjerrum-Bohr, P. H. Damgaard, and P. Vanhove, Post-Minkowskian Hamiltonians in general relativity
Original
1906
Earlier work this paper cites.
A. Laddha and A. Sen, Classical proof of the classical soft graviton theorem in D > 4 D>4
Original
1906
Earlier work this paper cites.
J. Plefka, C. Shi, J. Steinhoff, and T. Wang, Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO
Original
1906
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.
A. Guevara, A. Ochirov, and J. Vines, Black-hole scattering with general spin directions from minimal-coupling amplitudes
Original
1906
Earlier work this paper cites.
N. Arkani-Hamed, Y.-t. Huang, and D. O’Connell, Kerr black holes as elementary particles
Original
1906
Earlier work this paper cites.
R. Gonzo, T. McLoughlin, D. Medrano, and A. Spiering, Asymptotic Charges and Coherent States in QCD
Original
1906
Earlier work this paper cites.
A. P.V. and A. Manu, Classical double copy from Color Kinematics duality: A proof in the soft limit
Original
1907
Earlier work this paper cites.
A. Campoleoni, D. Francia, and C. Heissenberg, Electromagnetic and color memory in even dimensions
Original
1907
Earlier work this paper cites.
Z. Bern, C. Cheung, R. Roiban, C.-H. Shen, M. P. Solon, and M. Zeng, Black Hole Binary Dynamics from the Double Copy and Effective Theory
Original
1908
Earlier work this paper cites.
P. H. Damgaard, K. Haddad, and A. Helset, Heavy Black Hole Effective Theory
Original
1908
Earlier work this paper cites.
M. Carrillo González, R. Penco, and M. Trodden, Shift symmetries, soft limits, and the double copy beyond leading order
Original
1908
Earlier work this paper cites.
Y. F. Bautista and A. Guevara, On the Double Copy for Spinning Matter
Original
1908
Earlier work this paper cites.
M.-Z. Chung, Y.-T. Huang, and J.-W. Kim, Classical potential for general spinning bodies
Original
1908
Earlier work this paper cites.
A. Ochirov and B. Page, Multi-Quark Colour Decompositions from Unitarity
Original
1908
Earlier work this paper cites.
Z. Bern, J. J. Carrasco, M. Chiodaroli, H. Johansson, and R. Roiban, The Duality Between Color and Kinematics and its Applications
Original
1909
Earlier work this paper cites.
N. Moynihan, Kerr-Newman from Minimal Coupling
Original
1909
Earlier work this paper cites.
G. Kälin and R. A. Porto, From Boundary Data to Bound States
Original
1910
Earlier work this paper cites.
N. Bjerrum-Bohr, A. Cristofoli, and P. H. Damgaard, Post-Minkowskian Scattering Angle in Einstein Gravity
Original
1910
Earlier work this paper cites.
I. Bah, R. Dempsey, and P. Weck, Kerr-Schild Double Copy and Complex Worldlines
Original
1910
Earlier work this paper cites.
G. Kälin and R. A. Porto, From boundary data to bound states. Part II. Scattering angle to dynamical invariants (with twist)
Original
1911
Earlier work this paper cites.
M. Accettulli Huber, A. Brandhuber, S. De Angelis, and G. Travaglini, Note on the absence of R 2 R^{2} corrections to Newton’s potential
Original
1911
Earlier work this paper cites.
Y.-T. Huang, U. Kol, and D. O’Connell, Double copy of electric-magnetic duality
Original
1911
Earlier work this paper cites.
R. Alawadhi, D. S. Berman, B. Spence, and D. Peinador Veiga, S-duality and the double copy
Original
1911
Earlier work this paper cites.
L. Borsten, I. Jubb, V. Makwana, and S. Nagy, Gauge × gauge on spheres
Original
1911
Earlier work this paper cites.
M.-Z. Chung, Y.-T. Huang, and J.-W. Kim, Kerr-Newman stress-tensor from minimal coupling to all orders in spin
Original
1911
Earlier work this paper cites.
K. Kajantie, L. D. McLerran, and R. Paatelainen, Gluon Radiation from a classical point particle II: dense gluon fields
Original
1911
Earlier work this paper cites.
A. P. Saha, B. Sahoo, and A. Sen, Proof of the classical soft graviton theorem in D D = 4
Original
1912
Earlier work this paper cites.
K. Kim, K. Lee, R. Monteiro, I. Nicholson, and D. Peinador Veiga, The Classical Double Copy of a Point Charge
Original
1912
Earlier work this paper cites.
A. Banerjee, E. Colgáin, J. Rosabal, and H. Yavartanoo, Ehlers as EM duality in the double copy
Original
1912
Earlier work this paper cites.
S. Wong, Field and particle equations for the classical Yang-Mills field and particles with isotopic spin
1970
Earlier work this paper cites.
A. M. Perelomov, Coherent states for arbitrary Lie group
1972
Earlier work this paper cites.
G. Kaiser, Phase Space Approach to Relativistic Quantum Mechanics. 1. Coherent State Representation for Massive Scalar Particles
1977
Earlier work this paper cites.
M. Lüscher, Asymptotic behaviour of classical Yang-Mills fields in Minkowski space
1978
Earlier work this paper cites.
L. G. Yaffe, Large N Limits as Classical Mechanics
1982
Earlier work this paper cites.
U. W. Heinz, Kinetic Theory for Nonabelian Plasmas
1983
Earlier work this paper cites.
U. W. Heinz, A Relativistic Colored Spinning Particle in an External Color Field
1984
Earlier work this paper cites.

Similar

U. W. Heinz, Quark - Gluon Transport Theory. Part 1. the Classical Theory
1985
Cited alongside, same era.
U. W. Heinz, Quark - Gluon Transport Theory. Part 2. Color Response and Color Correlations in a Quark - Gluon Plasma
1986
Cited alongside, same era.
Springer, 1986
A. Perelomov, Generalized coherent states and their applications · 1986
Cited alongside, same era.
H.-T. Elze and U. W. Heinz, Quark - Gluon Transport Theory
1989
Cited alongside, same era.
S. Twareque Ali and J. Antoine, Coherent states of the 1+1 dimensional Poincare group: Square integrability and a relativistic Weyl transform
1989
Cited alongside, same era.
J. F. Donoghue, Leading quantum correction to the Newtonian potential
1994
Cited alongside, same era.

Then

E. Chacón, H. García-Compeán, A. Luna, R. Monteiro, and C. D. White, New heavenly double copies
Original
2008
Later among the works it cites.
G. L. Almeida, S. Foffa, and R. Sturani, Classical Gravitational Self-Energy from Double Copy
Original
2008
Later among the works it cites.
M. Mathur, I. Raychowdhury, and R. Anishetty, SU(N) Irreducible Schwinger Bosons
Original
2010
Later among the works it cites.
M. Mathur and I. Raychowdhury, SU(N) Coherent States and Irreducible Schwinger Bosons
Original
2011
Later among the works it cites.
Springer, 2012
M. Combescure and D. Robert, Coherent States and Applications in Mathematical Physics · 2012
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

J. F. Donoghue, General relativity as an effective field theory: The leading quantum corrections

1994

Cited alongside, same era.

L. D. McLerran and R. Venugopalan, Computing quark and gluon distribution functions for very large nuclei

1994

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L. D. McLerran and R. Venugopalan, Gluon distribution functions for very large nuclei at small transverse momentum

1994

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J. F. Donoghue and T. Torma, On the power counting of loop diagrams in general relativity

1996

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R. Aoude, K. Haddad, and A. Helset, On-shell heavy particle effective theories

Original

2001

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N. Bahjat-Abbas, R. Stark-Muchão, and C. D. White, Monopoles, shockwaves and the classical double copy

Original

2001

Cited alongside, same era.

D. Neill and I. Z. Rothstein, Classical Space-Times from the S Matrix

Original

2013