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Quantum pseudo electrodynamics in Schwinger’s method
In this talk, we’re going to show the quantum dynamics for constant pseudo electromagnetic field which couples to the chirality charges of fermions in the framework of Schwinger’s proper-time integration. Then, as a check of this quantum dynamics, the various anomalous phenomena under different circumstances with ordinary electromagnetic field are generalized to include pseudo electromagnetic field. Finally, as a further application of the quantum dynamics, the effect of pseudomagnetic field to chiral symmetry breaking is explored with Ginzburg-Landau approach and the pseudomagnetic anti-catalysis effect is discovered compared to the magnetic catalysis effect.