Effective Electromagnetic Lagrangian at Finite Temperature and Density in the Electroweak Model

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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14 pages, Revtex4

Scientific paper

10.2478/s11534-010-0140-7

Using the exact propagators in a constant magnetic field, the effective electromagnetic Lagrangian at finite temperature and density is calculated to all orders in the field strength B within the framework of the complete electroweak model, in the weak coupling limit. The partition function and free energy are obtained explicitly and the finite temperature effective coupling is derived in closed form. Some implications of this result, potentially interesting to astrophysics and cosmology, are discussed.

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