Absence of inhomogeneous chiral phases in (2 + 1)-dimensional four-fermion and Yukawa models
- 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.
Author: | Laurin PannulloORCiDGND, Marc WinstelORCiD |
---|---|
URN: | urn:nbn:de:hebis:30:3-793775 |
DOI: | https://doi.org/10.1103/PhysRevD.108.036011 |
ISSN: | 2470-0029 |
ISSN: | 2470-0010 |
ArXiv Id: | http://arxiv.org/abs/2305.09444 |
Parent Title (English): | Physical review. D : covering particles, fields, gravitation, and cosmology |
Publisher: | American Physical Society |
Place of publication: | Ridge, NY |
Document Type: | Article |
Language: | English |
Date of Publication (online): | 2023/08/09 |
Date of first Publication: | 2023/08/09 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2024/02/22 |
Volume: | 108 |
Issue: | 3, 036011 |
Article Number: | 036011 |
Page Number: | 24 |
Institutes: | Physik |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - CC BY - Namensnennung 4.0 International |