Large-$N$ Solution and Effective Action of 'Twisted-Mass' Deformed $\mathbb{CP}(N-1)$ Model
| Autor: | Sumbatian, G., Ievlev, E., Yung, A. |
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| Rok vydání: | 2023 |
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| Druh dokumentu: | Working Paper |
| Popis: | We study effective dynamics of the non-supersymmetric two-dimensional $\mathbb{CP}(N-1)$ model in the large $N$ limit. This model is deformed by a mass term $m$ preserving $\mathbb{Z}_N$ symmetry of the Lagrangian. At small $m$ the theory is strongly coupled and resembles the undeformed $\mathbb{CP}(N-1)$ model, while at large $m$ it is in a weakly coupled Higgs phase with spontaneously broken $\mathbb{Z}_N$. We find the phase transition point and discuss the fate of the kink-antikink ``mesons'' at strong coupling. We also resolve an issue of instability that arose in previous studies of this model. Comment: 21 pages, 3 figures |
| Databáze: | arXiv |
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