Ginzburg–Landau approach to the Gross–Neveu model: success and failure
Abstract 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 ex...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13410-4 |
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| author | Lalita Choudhary Anees Ahmed |
| author_facet | Lalita Choudhary Anees Ahmed |
| author_sort | Lalita Choudhary |
| collection | DOAJ |
| description | Abstract 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. |
| format | Article |
| id | doaj-art-1cf63f97af984e36b1d8f9b5d23bef28 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-1cf63f97af984e36b1d8f9b5d23bef282024-12-08T12:43:07ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-10-01841011010.1140/epjc/s10052-024-13410-4Ginzburg–Landau approach to the Gross–Neveu model: success and failureLalita Choudhary0Anees Ahmed1Department of Physics, MNIT JaipurDepartment of Physics, MNIT JaipurAbstract 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.https://doi.org/10.1140/epjc/s10052-024-13410-4 |
| spellingShingle | Lalita Choudhary Anees Ahmed Ginzburg–Landau approach to the Gross–Neveu model: success and failure European Physical Journal C: Particles and Fields |
| title | Ginzburg–Landau approach to the Gross–Neveu model: success and failure |
| title_full | Ginzburg–Landau approach to the Gross–Neveu model: success and failure |
| title_fullStr | Ginzburg–Landau approach to the Gross–Neveu model: success and failure |
| title_full_unstemmed | Ginzburg–Landau approach to the Gross–Neveu model: success and failure |
| title_short | Ginzburg–Landau approach to the Gross–Neveu model: success and failure |
| title_sort | ginzburg landau approach to the gross neveu model success and failure |
| url | https://doi.org/10.1140/epjc/s10052-024-13410-4 |
| work_keys_str_mv | AT lalitachoudhary ginzburglandauapproachtothegrossneveumodelsuccessandfailure AT aneesahmed ginzburglandauapproachtothegrossneveumodelsuccessandfailure |