Speaker
Niklas Zorbach
Description
We investigate the Gross-Neveu model for a finite number of fermions $N$. The solution of the Gross-Neveu model is well known in the large-$N$ limit ($N \to \infty$) but unknown for finite $N$. We approach the finite-$N$ case with a FRG method, more precisely the Wetterich equation. By using the local potential approximation the resulting flow equation for the scale dependent effective potential can be transformed into a non-linear diffusion equation. This equation is solved numerically by applying a finite volume method. No discrete chiral symmetry breaking is observed for any finite number of fermions, arbitrary chemical potentials as long as the temperature is non-zero.
