Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions 1 ≤ d < 3
- The Gross-Neveu model in the N→∞ limit in d=1 spatial dimensions exhibits a chiral inhomogeneous phase (IP), where the chiral condensate has a spatial dependence that spontaneously breaks translational invariance and the Z2 chiral symmetry. This phase is absent in d=2, while in d=3 its existence and extent strongly depends on the regularization and the value of the finite regulator. This work connects these three results smoothly by extending the analysis to noninteger spatial dimensions 1≤d<3, where the model is fully renormalizable. To this end, we adapt the stability analysis, which probes the stability of the homogeneous ground state under inhomogeneous perturbations, to noninteger spatial dimensions. We find that the IP is present for all d<2 and vanishes exactly at d=2. Moreover, we find no instability toward an IP for 2≤d<3, which suggests that the IP in d=3 is solely generated by the presence of a regulator.
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| Author: | Laurin PannulloORCiDGND |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-793734 |
| DOI: | https://doi.org/10.1103/PhysRevD.108.036022 |
| ISSN: | 2470-0029 |
| ISSN: | 2470-0010 |
| ArXiv Id: | http://arxiv.org/abs/:2306.16290 |
| 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): | 2023/08/28 |
| Date of first Publication: | 2023/08/28 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2024/02/22 |
| Volume: | 108 |
| Issue: | 3, 036022 |
| Article Number: | 036022 |
| Page Number: | 13 |
| 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 |
