Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

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

Aug 9, 2022, 4:50 PM
CP1-HSZ/0.011 (CP1-HSZ) - HS1 (CP1-HSZ)

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


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


Marc Winstel (Goethe University)


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.

Primary authors

Marc Winstel (Goethe University) Laurin Pannullo (Goethe University Frankfurt) Marc Wagner (Goethe University Frankfurt)

Presentation materials