Non-perturbative phase boundaries in the Gross-Neveu model from a stability analysis
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909294486618112 |
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| author | Thies, Michael |
| author_facet | Thies, Michael |
| contents | Two out of three phase boundaries of the 1+1 dimensional Gross-Neveu model in the chiral limit can be obtained from a standard, perturbative stability analysis of the homogeneous phases. The third one separating the massive homogeneous phase from the kink crystal is non-perturbative and could so far only be inferred from the full solution of the model. We show that this phase boundary can also be obtained via a modified stability analysis, based on the thermodynamic potential of a single kink or baryon. The same method works for the massive Gross-Neveu model, so that all phase boundaries of the Gross-Neveu model could have been predicted quantitatively without prior knowledge of the full crystal solution. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2408_09803 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-perturbative phase boundaries in the Gross-Neveu model from a stability analysis Thies, Michael High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology Two out of three phase boundaries of the 1+1 dimensional Gross-Neveu model in the chiral limit can be obtained from a standard, perturbative stability analysis of the homogeneous phases. The third one separating the massive homogeneous phase from the kink crystal is non-perturbative and could so far only be inferred from the full solution of the model. We show that this phase boundary can also be obtained via a modified stability analysis, based on the thermodynamic potential of a single kink or baryon. The same method works for the massive Gross-Neveu model, so that all phase boundaries of the Gross-Neveu model could have been predicted quantitatively without prior knowledge of the full crystal solution. |
| title | Non-perturbative phase boundaries in the Gross-Neveu model from a stability analysis |
| topic | High Energy Physics - Theory High Energy Physics - Lattice High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2408.09803 |