Weak-field expansion for processes in a homogeneous background magnetic field

Tzuu Kang Chyi*, Chien Wen Hwang, Win-Fun Kao, Guey-Lin Lin, Kin Wang Ng, Jie Jun Tseng

*Corresponding author for this work

Research output: Contribution to journalArticle

47 Scopus citations

Abstract

The weak-field expansion of the charged fermion propagator under a uniform magnetic field is studied. Starting from Schwinger’s proper-time representation, we express the charged fermion propagator as an infinite series corresponding to different Landau levels. This infinite series is then reorganized according to the powers of the external field strength B. For illustration, we apply this expansion to (Formula presented) and (Formula presented) decays, which involve charged fermions in the internal loop. The leading and subleading magnetic-field effects to the above processes are computed.

Original languageEnglish
Article number105014
Pages (from-to)1-13
Number of pages13
JournalPhysical Review D
Volume62
Issue number10
DOIs
StatePublished - 15 Nov 2000

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