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

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

2003-08-20

arxiv.org/abs/hep-ph/0308212v2

Phys.Rev. D69 (2004) 045008

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages 4 figures, published version

Scientific paper

10.1103/PhysRevD.69.045008

We study the modifications to the real part of the thermal self-energy for chiral fermions in the presence of a constant external hypermagnetic field. We compute the dispersion relation for fermions occupying a given Landau level to first order in g'^2, g^2 and g_phi^2 and to all orders in g'B, where g' and g are the U(1)_Y and SU(2)_L couplings of the standard model, respectively, g_phi is the fermion Yukawa coupling, and B is the hypermagnetic field strength. We show 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 masses due to the chiral nature of their coupling with the external field. Given the current bounds on the strength of primordial magnetic fields, we argue that the above is the relevant scenario to study the effects of magnetic fields on the propagation of fermions prior and during the electroweak phase transition.

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