Abstract
A new form of the light front Feynman propagators is proposed. It contains no energy denominators. Instead the dependence on the longitudinal subinterval \(x^2_L = 2 x^{+} x^{-}\) is explicit and a new formalism for doing the perturbative calculations is invented. These novel propagators are implemented for the one-loop effective potential and various 1-loop 2-point functions for a massive scalar field. The consistency with results for the standard covariant Feynman diagrams is obtained and no spurious singularities are encountered at all. Some remarks on the calculations with fermion and gauge fields in QED and QCD are added.
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Przeszowski, J.A., Dzimida-Chmielewska, E. & Żochowski, J. Light-Front Perturbation Without Spurious Singularities. Few-Body Syst 57, 527–532 (2016). https://doi.org/10.1007/s00601-016-1083-3
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DOI: https://doi.org/10.1007/s00601-016-1083-3