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Dynamical mass generation in QED with magnetic fields: Arbitrary field strength and coupling constant

Rojas, Eduardo Y Ayala, Alejandro Y Bashir, Adnan Y Raya, Alfredo (2008) Dynamical mass generation in QED with magnetic fields: Arbitrary field strength and coupling constant. Phys.Rev. D, 77 (09). 093004. ISSN 2470-0010

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We study the dynamical generation of masses for fundamental fermions in quenched quantum electrodynamics, in the presence of magnetic fields of arbitrary strength, by solving the Schwinger- Dyson equation (SDE) for the fermion self-energy in the rainbow approximation. We employ the Ritus eigenfunction formalism which provides a neat solution to the technical problem of summing over all Landau levels. It is well known that magnetic fields catalyze the generation of fermion mass m for arbitrarily small values of electromagnetic coupling α. For intense fields it is also well known √ that m ∝ √ eB. Our approach allows us to span all regimes of parameters α and eB. We find that m ∝ eB provided α is small. However, when α increases beyond the critical value α c which marks the onslaught of dynamical fermion masses in vacuum, we find m ∝ Λ, the cut-off required to regularize the ultraviolet divergences. Our method permits us to verify the results available in literature for the limiting cases of eB and α. We also point out the relevance of our work for possible physical applications.

Tipo de Elemento: Artículo
Asunto: Q Ciencias > QC Physics
Division: Facultad de Ciencias Exactas y Naturales > Programa de Física > Productividad
Depósito de Usuario: Prof. Eduardo Rojas
Fecha Deposito: 01 Feb 2022 14:03
Ultima Modificación: 01 Feb 2022 14:03

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