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.

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Metadaten
Author:Laurin PannulloORCiDGND, Marc WinstelORCiD
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):License LogoCreative Commons - CC BY-NC-SA - Namensnennung - Nicht kommerziell - Weitergabe unter gleichen Bedingungen 4.0 International