تقرير
Three-dimensional ${\mathbb Z}_2$-gauge $N$-vector models
| العنوان: | Three-dimensional ${\mathbb Z}_2$-gauge $N$-vector models |
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| المؤلفون: | Bonati, Claudio, Pelissetto, Andrea, Vicari, Ettore |
| المصدر: | Phys. Rev. B 109, 235121 (2024) |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter High Energy Physics - Lattice |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, High Energy Physics - Lattice |
| الوصف: | We study the phase diagram and critical behaviors of three-dimensional lattice ${\mathbb Z}_2$-gauge $N$-vector models, in which an $N$-component real field is minimally coupled with a ${\mathbb Z}_2$-gauge link variables. These models are invariant under global O($N$) and local ${\mathbb Z}_2$ transformations. They present three phases characterized by the spontaneous breaking of the global O($N$) symmetry and by the different topological properties of the ${\mathbb Z}_2$-gauge correlations. We address the nature of the three transition lines separating the three phases. The theoretical predictions are supported by numerical finite-size scaling analyses of Monte Carlo data for the $N=2$ model. In this case, continuous transitions can be observed along both transition lines where the spins order, in the regime of small and large inverse gauge coupling $K$. Even though these continuous transitions belong to the same $XY$ universality class, their critical modes turn out to be different. When the gauge variables are disordered (small $K$), the relevant order-parameter field is a gauge-invariant bilinear combination of the vector field. On the other hand, when the gauge variables are ordered (large $K$), the order-parameter field is the gauge-dependent $N$-vector field, whose critical behavior can only be probed by using a stochastic gauge fixing that reduces the gauge freedom. Comment: 15 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.07050 |
| رقم الأكسشن: | edsarx.2404.07050 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |