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First quantised representation of the dressed spinor propagator in vacuum and constant electromagnetic background
(Univesità Michoacana, Morelia, Messico)
Aula Teorici (Dipartimento di Fisica e Astronomia)
Dipartimento di Fisica e Astronomia
Via Irnerio, 46
The worldline formalism, a string inspired first quantised approach to quantum field theory, has found myriad applications to the efficient calculation of one-loop effective actions, scattering amplitudes (including at multi-loop level), processes in electromagnetic backgrounds, gravitational interactions and more. Only recently, however, have these methods been adapted to tree level processes in scalar QED.
I will present recent work with colleagues in Mexico, Bologna, Modena and South Korea on the generalisation of these techniques to describe the fermion propagator dressed with an arbitrary number of photons. This requires the use of open worldlines, which we consider both in vacuum and in a constant electromagnetic background. Our results include compact "Master Formulae" for N-photon amplitudes, an efficient tensor decomposition of the electron self energy and several proposals for the economic calculation of g-2.