Fermion propagator in a nontrivial background field

Details Fermion propagator in a nontrivial background field Fermion propagator in a nontrivial background field

2000-02-23

arxiv.org/abs/hep-ph/0002239v1

JHEP 0010 (2000) 029

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, LaTeX

Scientific paper

10.1088/1126-6708/2000/10/029

We study the fermion propagator in a spatially varying classical background field, and show that, contrary to common wisdom, it may get nontrivial gradient corrections already at the first order in derivative expansion. This occurs whenever the fermion self-energy acquires a spatially (or temporally) varying pseudoscalar term, a simple example of which is given by a complex mass term m(x)= m_R + i gamma_5 m_I. Such effective mass terms arise for example in extensions of the Standard Model during the electroweak transition, and they are crucial in providing the CP-violation necessary for electroweak baryogenesis.

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