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 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.
Author: | Laurin PannulloORCiDGND, Marc WinstelORCiD |
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URN: | urn:nbn:de:hebis:30:3-797216 |
URL: | https://arxiv.org/abs/2305.09444v2 |
DOI: | https://doi.org/10.48550/arXiv.2305.09444 |
ArXiv Id: | http://arxiv.org/abs/2305.09444v2 |
Parent Title (English): | arXiv |
Publisher: | arXiv |
Document Type: | Preprint |
Language: | English |
Date of Publication (online): | 2023/08/21 |
Date of first Publication: | 2023/08/21 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2024/02/22 |
Issue: | 2305.09444 Version 2 |
Edition: | Version 2 |
Page Number: | 27 |
HeBIS-PPN: | 516154559 |
Institutes: | Physik |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Sammlungen: | Universitätspublikationen |
Licence (German): | Creative Commons - CC BY-NC-SA - Namensnennung - Nicht kommerziell - Weitergabe unter gleichen Bedingungen 4.0 International |