https://scholars.lib.ntu.edu.tw/handle/123456789/634017
標題: | Phase structure of the CP(1) model in the presence of a topological $θ$-term | 作者: | Katsumasa Nakayama Lena Funcke Karl Jansen YING-JER KAO Stefan Kühn |
關鍵字: | High Energy Physics - Lattice; High Energy Physics - Lattice; Physics - Strongly Correlated Electrons; Quantum Physics | 公開日期: | 30-七月-2021 | 卷: | 105 | 期: | 5 | 來源出版物: | Phys. Rev. D 105, 054507 (2022) | 摘要: | We numerically study the phase structure of the CP(1) model in the presence of a topological $\theta$-term, a regime afflicted by the sign problem for conventional lattice Monte Carlo simulations. Using a bond-weighted tensor renormalization group method, we compute the free energy for inverse couplings ranging from $0\leq \beta \leq 1.1$ and find a CP-violating, first-order phase transition at $\theta=\pi$. In contrast to previous findings, our numerical results provide no evidence for a critical coupling $\beta_c<1.1$ above which a second-order phase transition emerges at $\theta=\pi$ and/or the first-order transition line bifurcates at $\theta\neq\pi$. If such a critical coupling exists, as suggested by Haldane's conjecture, our study indicates that is larger than $\beta_c>1.1$. |
描述: | 10 pages, 9 figures, v2: updated to match journal version |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/634017 | ISSN: | 24700010 | DOI: | 10.1103/PhysRevD.105.054507 |
顯示於: | 物理學系 |
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