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We study the Dirac propagator dressed by an arbitrary number $N$ of photons by means of a worldline approach, which makes use of a supersymmetric ${\cal N} = 1$ spinning particle model on the line, coupled to an external Abelian vector field.
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M. G. Schmidt and C. Schubert, “Multiloop calculations in the string inspired formalism: The Single spinor loop in QED,” Phys. Rev. D 53
1996
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K. Daikouji, M. Shino, and Y. Sumino, “Bern-kosower rule for scalar QED”, Phys. Rev. D 53
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M. Reuter, M. G. Schmidt and C. Schubert, “Constant external fields in gauge theory and the spin 0, 1/2, 1 path integrals,” Annals Phys. 259
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D. G. C. McKeon, “Thermal vacuum polarization using the quantum mechanical path integral,” Int. J. Mod. Phys. A 12
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2004
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F. Bastianelli and P. van Nieuwenhuizen, “Path integrals and anomalies in curved space,” Cambridge University Press (2006)
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P. Dai and W. Siegel, “Worldline Green Functions for Arbitrary Feynman Diagrams,” Nucl. Phys. B 770
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M. Srednicki, “Quantum Field Theory”, Cambridge University Press (2007)
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H. Holzler, “World graph formalism for Feynman amplitudes,” JHEP 09
2008
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2013
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2016
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2017
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2018
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