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Contribution Contributed Talks
Worldline master formulas for dressed electron propagator in constant external fields
Speakers
- Dr. Victor Miguel BANDA GUZMAN
Primary authors
- Dr. Victor Miguel BANDA GUZMAN (Instituto de Física y Matemáticas, UMSNH)
Co-authors
- Dr. James EDWARDS (Centre for Mathematical Sciences, University of Plymouth)
- Prof. Christian Schubert SCHUBERT (Centro Internacional de Ciencias A.C., Campus UNAM-UAEM)
- Prof. Olindo CORRADINI (INFN, Sezione di Bologna)
- Prof. Fiorenzo BASTIANELLI (Università di Bologna)
- Dr. Naser AHMADINIAZ (Helmholtz-Zentrum Dresden-Rossendorf)
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Abstract
The standard formalism for calculating the S-matrix in quantum field theory is based on path integrals over field configurations, and can be formulated as a diagrammatic perturbative method. Alternative to this approach, there is the Worldline formalism based on first-quantized relativistic particle path integrals. Recently, a novel representation based on this formalism of the fermion propagator dressed with an arbitrary number of photons was developed. In this talk, I will present an extension of this work that includes a constant external electromagnetic field. The resulting Bern-Kosower type representation of the fermion propagator, dressed with a constant field in addition to N photons, reduces all spin-related algebra to a minimum. Using this representation I will show, as a simple application, how to recover the relativistic Landau levels.