Master formulas for the dressed scalar propagator in a constant field

Master formulas for the dressed scalar propagator in a constant field

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 wi...

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Main Authors: Aftab Ahmad, Naser Ahmadiniaz, Olindo Corradini, Sang Pyo Kim, Christian Schubert
Format: Article
Language:English
Published: Elsevier 2017-06-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321317300871
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spelling doaj-2246e66518e44e62891be64cc0dc99742020-11-24T23:31:19ZengElsevierNuclear Physics B0550-32131873-15622017-06-01919C92410.1016/j.nuclphysb.2017.03.007Master formulas for the dressed scalar propagator in a constant fieldAftab Ahmad0Naser Ahmadiniaz1Olindo Corradini2Sang Pyo Kim3Christian Schubert4Department of Physics, Gomal University, 29220 D.I. Khan, K.P.K, PakistanCenter for Relativistic Laser Science, Institute for Basic Science, Gwangju 61005, Republic of KoreaDipartimento di Scienze Fisiche, Informatiche e Matematiche, Università di Modena e Reggio Emilia, Via Campi 213/A, I-41125 Modena, ItalyCenter for Relativistic Laser Science, Institute for Basic Science, Gwangju 61005, Republic of KoreaInstituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Edificio C-3, Ciudad Universitaria, Morelia 58040, Michoacán, MexicoThe 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.http://www.sciencedirect.com/science/article/pii/S0550321317300871
collection DOAJ
language English
format Article
sources DOAJ
author Aftab Ahmad
Naser Ahmadiniaz
Olindo Corradini
Sang Pyo Kim
Christian Schubert
spellingShingle Aftab Ahmad
Naser Ahmadiniaz
Olindo Corradini
Sang Pyo Kim
Christian Schubert
Master formulas for the dressed scalar propagator in a constant field
Nuclear Physics B
author_facet Aftab Ahmad
Naser Ahmadiniaz
Olindo Corradini
Sang Pyo Kim
Christian Schubert
author_sort Aftab Ahmad
title Master formulas for the dressed scalar propagator in a constant field
title_short Master formulas for the dressed scalar propagator in a constant field
title_full Master formulas for the dressed scalar propagator in a constant field
title_fullStr Master formulas for the dressed scalar propagator in a constant field
title_full_unstemmed Master formulas for the dressed scalar propagator in a constant field
title_sort master formulas for the dressed scalar propagator in a constant field
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2017-06-01
description 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.
url http://www.sciencedirect.com/science/article/pii/S0550321317300871
work_keys_str_mv AT aftabahmad masterformulasforthedressedscalarpropagatorinaconstantfield
AT naserahmadiniaz masterformulasforthedressedscalarpropagatorinaconstantfield
AT olindocorradini masterformulasforthedressedscalarpropagatorinaconstantfield
AT sangpyokim masterformulasforthedressedscalarpropagatorinaconstantfield
AT christianschubert masterformulasforthedressedscalarpropagatorinaconstantfield
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