Global existence in the critical space for the Thirring and Gross-Neveu models coupled with the electromagnetic field
Global existence in the critical space for the Thirring and Gross-Neveu models coupled with the electromagnetic field
We prove global well-posedness for the coupled Maxwell-Dirac-Thirring-Gross-Neveu equations in one space dimension, with data for the Dirac spinor in the critical space $L^2(\mathbb{R})$. In particular, we recover earlier results of Candy and Huh for the Thirring and Gross-Neveu models, respectively, without the coupling to the electromagnetic field, but the …