The worldline formalism has previously been used for deriving compact master formulas for the one-loop N-photon amplitudes in both scalar and spinor QED, and in the vacuum as well as in a constant external field. For scalar QED, there is also an analogous master formula for the propagator dressed with N photons in the vacuum. Here, we extend this master formula to include a constant field. The two-photon case is worked out explicitly, yielding an integral representation for the Compton scattering cross section in the field suitable for numerical integration in the full range of electric and magnetic field strengths.
Master formulas for the dressed scalar propagator in a constant field / Ahmad, Aftab; Ahmadiniaz, Naser; Corradini, Olindo; Kim, Sang Pyo; Schubert, Christian. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 919(2017), pp. 9-24.
Data di pubblicazione: | 2017 |
Titolo: | Master formulas for the dressed scalar propagator in a constant field |
Autore/i: | Ahmad, Aftab; Ahmadiniaz, Naser; Corradini, Olindo; Kim, Sang Pyo; Schubert, Christian |
Autore/i UNIMORE: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.nuclphysb.2017.03.007 |
Rivista: | |
Volume: | 919 |
Pagina iniziale: | 9 |
Pagina finale: | 24 |
Codice identificativo ISI: | WOS:000402344700002 |
Codice identificativo Scopus: | 2-s2.0-85016143313 |
Citazione: | Master formulas for the dressed scalar propagator in a constant field / Ahmad, Aftab; Ahmadiniaz, Naser; Corradini, Olindo; Kim, Sang Pyo; Schubert, Christian. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 919(2017), pp. 9-24. |
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