TY  - JOUR
A1  - Pannullo, Laurin
A1  - Winstel, Marc
T1  - Absence of inhomogeneous chiral phases in (2 + 1)-dimensional four-fermion and Yukawa models
T2  - Physical review. D : covering particles, fields, gravitation, and cosmology
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 nonzero 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 nonuniform) 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/79377
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-793775
SN  - 2470-0029
SN  - 2470-0010
VL  - 108
IS  - 3, 036011
PB  - American Physical Society
CY  - Ridge, NY
ER  -