Triple critical point and emerging temperature scales in SU(N) ferromagnetism at large N
The non-Abelian ferromagnet recently introduced by the authors, consisting of atoms in the fundamental representation of SU(N), is studied in the limit where N becomes large and scales as the square root of the number of atoms n. This model exhibits additional phases, as well as two different temper...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-12-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321324003146 |
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| Summary: | The non-Abelian ferromagnet recently introduced by the authors, consisting of atoms in the fundamental representation of SU(N), is studied in the limit where N becomes large and scales as the square root of the number of atoms n. This model exhibits additional phases, as well as two different temperature scales related by a factor N/lnN. The paramagnetic phase splits into a “dense” and a “dilute” phase, separated by a third-order transition and leading to a triple critical point in the scale parameter n/N2 and the temperature, while the ferromagnetic phase exhibits additional structure, and a new paramagnetic-ferromagnetic metastable phase appears at the larger temperature scale. These phases can coexist, becoming stable or metastable as temperature varies. A generalized model in which the number of SU(N)-equivalent states enters the partition function with a nontrivial weight, relevant, e.g., when there is gauge invariance in the system, is also studied and shown to manifest similar phases, the dense-dilute phase transition becoming second-order in the fully gauge invariant case. |
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| ISSN: | 0550-3213 |