Built on

L. D. Landau, “On analytic properties of vertex parts in quantum field theory,” Nucl. Phys. 13
1959
Earlier work this paper cites.
S. Coleman and R. E. Norton, “Singularities in the physical region,” Nuovo Cim. 38
1965
Earlier work this paper cites.
S. Weinberg, “Dynamics at infinite momentum,” Phys. Rev. 150
1966
Earlier work this paper cites.
S. J. Chang and S. K. Ma, “Feynman rules and quantum electrodynamics at infinite momentum,” Phys. Rev. 180
1969
Earlier work this paper cites.
J. B. Kogut and D. E. Soper, “Quantum Electrodynamics in the Infinite Momentum Frame,” Phys. Rev. D 1
1970
Earlier work this paper cites.
G. F. Sterman, “Mass Divergences in Annihilation Processes. 1. Origin and Nature of Divergences in Cut Vacuum Polarization Diagrams,” Phys. Rev. D 17
1978
Earlier work this paper cites.
A. M. Polyakov, “Gauge Fields as Rings of Glue,” Nucl. Phys. B 164
1986
Earlier work this paper cites.
I. A. Korchemskaya and G. P. Korchemsky, “On lightlike Wilson loops,” Phys. Lett. B 287
1992
Earlier work this paper cites.

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E. Laenen, K. J. Larsen and R. Rietkerk, “Imaginary parts and discontinuities of Wilson line correlators,” Phys. Rev. Lett. 114
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2017

Path description of coordinate-space amplitudes

Erdoğan, Ozan, Sterman, George

Understand

We develop a coordinate version of light-cone-ordered perturbation theory, for general time-ordered products of fields, by carrying out integrals over one light-cone coordinate for each interaction vertex.

The resulting expressions depend on the lengths of paths, measured in the same light-cone coordinate.
Each path is associated with a denominator equal to a "light-cone deficit", analogous to the "energy deficits" of momentum-space time- or light-cone-ordered perturbation theory.
In effect, the role played by intermediate states in momentum space is played by paths between external fields in coordinate space.

Built on

L. D. Landau, “On analytic properties of vertex parts in quantum field theory,” Nucl. Phys. 13
1959
Earlier work this paper cites.
S. Coleman and R. E. Norton, “Singularities in the physical region,” Nuovo Cim. 38
1965
Earlier work this paper cites.
S. Weinberg, “Dynamics at infinite momentum,” Phys. Rev. 150
1966
Earlier work this paper cites.
S. J. Chang and S. K. Ma, “Feynman rules and quantum electrodynamics at infinite momentum,” Phys. Rev. 180
1969
Earlier work this paper cites.
J. B. Kogut and D. E. Soper, “Quantum Electrodynamics in the Infinite Momentum Frame,” Phys. Rev. D 1
1970
Earlier work this paper cites.
G. F. Sterman, “Mass Divergences in Annihilation Processes. 1. Origin and Nature of Divergences in Cut Vacuum Polarization Diagrams,” Phys. Rev. D 17
1978
Earlier work this paper cites.
A. M. Polyakov, “Gauge Fields as Rings of Glue,” Nucl. Phys. B 164
1986
Earlier work this paper cites.
I. A. Korchemskaya and G. P. Korchemsky, “On lightlike Wilson loops,” Phys. Lett. B 287
1992
Earlier work this paper cites.