Dynamical mass generation in strongly coupled Quantum Electrodynamics with weak magnetic fi.pdf

Dynamical mass generation in strongly coupled Quantum Electrodynamics with weak magnetic fields † ‡ † † † Alejandro Ayala , Adnan Bashir , Alfredo Raya , and Eduardo Rojas † Instituto de Ciencias Nucleares, Universidad Nacional Aut´onoma de M´exico, Apartado Postal 70-543, M´exico Distrito Federal 04510, M´exico. ‡ Instituto de F´ısica y Matem´aticas, Universidad Michoacana de San Nicol´as de Hidalgo, Apartado Postal 2-82, Morelia, Michoac´an 58040, M´exico. We study the dynamical generation of masses for fundamental fermions in quenched quantum electrodynamics in the presence of weak magnetic fields using Schwinger-Dyson equations. Contrary to the case where the magnetic field is strong, in the weak field limit the coupling should exceed certain critical value in order for the generation of masses to take place, just as in the case where no 2 6 magnetic field is present. The weak field limit is defined as eB ≪ m(0) , where m(0) is the value 0 of the dynamically generated mass in the absence of the field. We carry out a numerical analysis to 0 study the magnetic field dependence of the mass function above critical coupling and show that in 2 this regime the dynamically generated mass and the chiral con