$e^{+}{e}^{-}\to l^{+}{l}^{-}$ scattering at finite temperature in the presence of a classical background magnetic field

Abstract

In this work the $e^{+}{e}^{-}\to l^{+}{l}^{-}$ scattering process is investigated. The cross-section is calculated considering three different effects: temperature, external magnetic field and chemical potential. The effect due to an external field is inserted into the problem through a redefinition of the fermionic field operator. Effects due to temperature and chemical potential are introduced using the Thermo Field Dynamics formalism.

Comments: 30 pages, accepted for publication in EPJP