The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Absence of inhomogeneous phases in 2+1-dimensional Four-fermion and Yukawa models

9 Aug 2022, 16:50

20m

CP1-HSZ/0.011 (CP1-HSZ) - HS1 (CP1-HSZ)

Oral Presentation QCD at Non-zero Temperature Non-zero Temperature

Speaker

Marc Winstel (Goethe University)

Description

We discuss results about inhomogeneous chiral phases, i.e. phases where in addition to chiral symmetry also translational symmetry is broken, in the $2+1$-dimensional Gross-Neveu model using the mean-field approximation. The phase diagram of the GN model is presented and the existence of inhomogeneous phases is ruled out. The non-existence of inhomogeneous phases will then be shown for a variety of Four-fermion and Yukawa models in 2+1 dimensions. Numerical minimizations of the effective action using two variants of naive fermions support our results.

Presentation materials

Winstel.pdf