Built on

H. W. Brinkmann, Einstein spapces which are mapped conformally on each other , Math. Ann. 94
1925
Earlier work this paper cites.
D. M. Wolkow, Uber eine Klasse von Losungen der Diracschen Gleichung , Z. Phys. 94
1935
Earlier work this paper cites.
J. S. Schwinger, On gauge invariance and vacuum polarization , Phys. Rev. 82
1951
Earlier work this paper cites.
H. Bondi, F. A. E. Pirani and I. Robinson, Gravitational waves in general relativity. 3. Exact plane waves , Proc. Roy. Soc. Lond. A251
1959
Earlier work this paper cites.
T. W. B. Kibble, Frequency Shift in High-Intensity Compton Scattering , Phys. Rev. 138
1965
Earlier work this paper cites.
B. S. DeWitt, Quantum Theory of Gravity. 2. The Manifestly Covariant Theory , Phys. Rev. 162
1967
Earlier work this paper cites.
N. B. Narozhny, Propagation of plane electomagnetic waves in a constant field , JETP 28
1969
Earlier work this paper cites.
G. ’t Hooft, The Background Field Method in Gauge Field Theories , in Functional and Probabilistic Methods in Quantum Field Theory. 1. Proceedings, 12th Winter School of Theoretical Physics, Karpacz, Feb 17-March 2, 1975 , pp. 345–369, 1975
1975
Earlier work this paper cites.
G. W. Gibbons, Quantized Fields Propagating in Plane Wave Space-Times , Commun. Math. Phys. 45
1975
Earlier work this paper cites.
Reidel: Dordrecht, 1976
R. Penrose, Any geometry has a plane-wave limit , in Differential Geometry and Relativity (M. Cahen and M. Flato, eds.), p. 271 · 1976
Earlier work this paper cites.
A. Casher, Gauge Fields on the Null Plane , Phys. Rev. D14
1976
Earlier work this paper cites.
S. R. Coleman, Nonabelian Plane Waves , Phys. Lett. B70
1977
Earlier work this paper cites.
D. G. Boulware, Gauge Dependence of the Effective Action , Phys. Rev. D23
1981
Earlier work this paper cites.
L. F. Abbott, Introduction to the Background Field Method , Acta Phys. Polon. B13
1982
Earlier work this paper cites.
V. Ritus, Quantum effects of the interaction of elementary particles with an intense electromagnetic field , J.Russian Laser Research 6
1985
Earlier work this paper cites.
H. Kawai, D. C. Lewellen and S. H. H. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings , Nucl. Phys. B269
1986
Earlier work this paper cites.
J. Garriga and E. Verdaguer, Scattering of quantum particles by gravitational plane waves , Phys. Rev. D43
1991
Earlier work this paper cites.
Addison-Wesley, Reading, USA, 1995
M. E. Peskin and D. V. Schroeder, An Introduction to quantum field theory · 1995
Earlier work this paper cites.
R. Gueven, Plane wave limits and T duality , Phys. Lett. B482
2000
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes , Phys. Rev. D78
Original
2008
Earlier work this paper cites.

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2018

Plane wave backgrounds and colour-kinematics duality

Adamo, Tim, Casali, Eduardo, Mason, Lionel et al.

Understand

We obtain the detailed Feynman rules for perturbative gauge theory on a fixed Yang-Mills plane wave background.

Using these rules, the tree-level 4-point gluon amplitude is computed and some 1-loop Feynman diagrams are considered.
As an application, we test the extent to which colour-kinematics duality, the relation between the colour and kinematic constituents of the amplitude, holds on the plane wave background.
Although the duality is obstructed, the obstruction has an interesting constrained structure.

Built on

H. W. Brinkmann, Einstein spapces which are mapped conformally on each other , Math. Ann. 94
1925
Earlier work this paper cites.
D. M. Wolkow, Uber eine Klasse von Losungen der Diracschen Gleichung , Z. Phys. 94
1935
Earlier work this paper cites.
J. S. Schwinger, On gauge invariance and vacuum polarization , Phys. Rev. 82
1951
Earlier work this paper cites.
H. Bondi, F. A. E. Pirani and I. Robinson, Gravitational waves in general relativity. 3. Exact plane waves , Proc. Roy. Soc. Lond. A251
1959
Earlier work this paper cites.
T. W. B. Kibble, Frequency Shift in High-Intensity Compton Scattering , Phys. Rev. 138
1965
Earlier work this paper cites.
B. S. DeWitt, Quantum Theory of Gravity. 2. The Manifestly Covariant Theory , Phys. Rev. 162
1967
Earlier work this paper cites.
N. B. Narozhny, Propagation of plane electomagnetic waves in a constant field , JETP 28
1969
Earlier work this paper cites.
G. ’t Hooft, The Background Field Method in Gauge Field Theories , in Functional and Probabilistic Methods in Quantum Field Theory. 1. Proceedings, 12th Winter School of Theoretical Physics, Karpacz, Feb 17-March 2, 1975 , pp. 345–369, 1975
1975
Earlier work this paper cites.
G. W. Gibbons, Quantized Fields Propagating in Plane Wave Space-Times , Commun. Math. Phys. 45
1975
Earlier work this paper cites.
Reidel: Dordrecht, 1976
R. Penrose, Any geometry has a plane-wave limit , in Differential Geometry and Relativity (M. Cahen and M. Flato, eds.), p. 271 · 1976
Earlier work this paper cites.
A. Casher, Gauge Fields on the Null Plane , Phys. Rev. D14
1976
Earlier work this paper cites.
S. R. Coleman, Nonabelian Plane Waves , Phys. Lett. B70
1977
Earlier work this paper cites.
D. G. Boulware, Gauge Dependence of the Effective Action , Phys. Rev. D23
1981
Earlier work this paper cites.
L. F. Abbott, Introduction to the Background Field Method , Acta Phys. Polon. B13
1982
Earlier work this paper cites.
V. Ritus, Quantum effects of the interaction of elementary particles with an intense electromagnetic field , J.Russian Laser Research 6
1985
Earlier work this paper cites.
H. Kawai, D. C. Lewellen and S. H. H. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings , Nucl. Phys. B269
1986
Earlier work this paper cites.
J. Garriga and E. Verdaguer, Scattering of quantum particles by gravitational plane waves , Phys. Rev. D43
1991
Earlier work this paper cites.
Addison-Wesley, Reading, USA, 1995
M. E. Peskin and D. V. Schroeder, An Introduction to quantum field theory · 1995
Earlier work this paper cites.
R. Gueven, Plane wave limits and T duality , Phys. Lett. B482
2000
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes , Phys. Rev. D78
Original
2008
Earlier work this paper cites.