8-10 September 2022
Virtual
Mexico/General timezone
XXXVI Annual Meeting of the Division of Particles and Fields
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Contribution Contributed Talks

Virtual - https://us06web.zoom.us/j/85040775843?pwd=ZnRsQkgxKzBPdStoY0Z5OU5QQ3p4QT09

Worldline master formulas for dressed electron propagator in constant external fields

Speakers

  • Dr. Victor Miguel BANDA GUZMAN

Primary authors

Co-authors

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.