https://doi.org/10.1140/epjc/s10052-024-13410-4
Regular Article
Ginzburg–Landau approach to the Gross–Neveu model: success and failure
Department of Physics, MNIT Jaipur, 302017, Jaipur, Rajasthan, India
Received:
20
August
2024
Accepted:
22
September
2024
Published online:
7
October
2024
The phase diagram of the Gross–Neveu model in 1+1 dimensions is studied using Ginzburg–Landau expansion. It predicts several features of the exact phase diagram correctly even at low orders. It is shown that increasing the order of the expansion improves the accuracy of the crystal phase except for very small temperatures, where the expansion completely fails regardless of the order of the expansion. The source of this behaviour seems to be related to the Silver-Blaze phenomenon.
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
