TY  - INPR
A1  - Pannullo, Laurin
A1  - Winstel, Marc
T1  - Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
T2  - arXiv
N2  - We show the absence of an instability of homogeneous (chiral) condensates against spatially inhomogeneous perturbations for various 2+1-dimensional four-fermion and Yukawa models. All models are studied at non-zero baryon chemical potential, while some of them are also subjected to chiral and isospin chemical potential. The considered theories contain up to 16 Lorentz-(pseudo)scalar fermionic interaction channels. We prove the stability of homogeneous condensates by analyzing the bosonic two-point function, which can be expressed in a purely analytical form at zero temperature. Our analysis is presented in a general manner for all of the different discussed models. We argue that the absence of an inhomogeneous chiral phase (where the chiral condensate is spatially non-uniform) follows from this lack of instability. Furthermore, the existence of a moat regime, where the bosonic wave function renormalization is negative, in these models is ruled out.
Y1  - 2023
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/79217
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-792175
UR  - https://arxiv.org/abs/2305.09444v1
IS  - 2305.09444 Version 1
PB  - arXiv
ER  -