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We study the modifications to the real part of the thermal self-energy forchiral fermions in the presence of a constant external hypermagnetic field. Wecompute the dispersion relation for fermions occupying a given Landau level tofirst order in g'^2, g^2 and g_phi^2 and to all orders in g'B, where g' and gare the U(1)_Y and SU(2)_L couplings of the standard model, respectively, g_phiis the fermion Yukawa coupling, and B is the hypermagnetic field strength. Weshow that in the limit where the temperature is large compared to sqrt{g'B},left- and right-handed modes acquire finite and different B-dependent massesdue to the chiral nature of their coupling with the external field. Given thecurrent bounds on the strength of primordial magnetic fields, we argue that theabove is the relevant scenario to study the effects of magnetic fields on thepropagation of fermions prior and during the electroweak phase transition.Comment: 11 pages 4 figures, published versio

Chiral fermion mass and dispersion relations at finite temperature in the presence of hypermagnetic fields