Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $\theta=\pi$ with L\'uscher's admissibility condition

التفاصيل البيبلوغرافية
العنوان: Tensor renormalization group study of (1+1)-dimensional U(1) gauge-Higgs model at $\theta=\pi$ with L\'uscher's admissibility condition
المؤلفون: Akiyama, Shinichiro, Kuramashi, Yoshinobu
سنة النشر: 2024
المجموعة: High Energy Physics - Lattice
مصطلحات موضوعية: High Energy Physics - Lattice
الوصف: We investigate the phase structure of the (1+1)-dimensional U(1) gauge-Higgs model with a $\theta$ term, where the U(1) gauge action is constructed with L\"uscher's admissibility condition. Using the tensor renormalization group, both the complex action problem and topological freezing problem in the standard Monte Carlo simulation are avoided. We find the first-order phase transition with sufficiently large Higgs mass at $\theta=\pi$, where the $\mathbb{Z}_2$ charge conjugation symmetry is spontaneously broken. On the other hand, the symmetry is restored with a sufficiently small mass. We determine the critical endpoint as a function of the Higgs mass parameter and show the critical behavior is in the two-dimensional Ising universality class.
Comment: 21 pages, 10 figures, 2 tables
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2407.10409
رقم الأكسشن: edsarx.2407.10409
قاعدة البيانات: arXiv