تقرير
Critical behavior of 3D Z(N) lattice gauge theories at zero temperature
| العنوان: | Critical behavior of 3D Z(N) lattice gauge theories at zero temperature |
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| المؤلفون: | Borisenko, O., Chelnokov, V., Cortese, G., Gravina, M., Papa, A., Surzhikov, I. |
| سنة النشر: | 2013 |
| المجموعة: | High Energy Physics - Lattice |
| مصطلحات موضوعية: | High Energy Physics - Lattice |
| الوصف: | Three-dimensional $Z(N)$ lattice gauge theories at zero temperature are studied for various values of $N$. Using a modified phenomenological renormalization group, we explore the critical behavior of the generalized $Z(N)$ model for $N=2,3,4,5,6,8$. Numerical computations are used to simulate vector models for $N=2,3,4,5,6,8,13,20$ for lattices with linear extension up to $L=96$. We locate the critical points of phase transitions and establish their scaling with $N$. The values of the critical indices indicate that the models with $N>4$ belong to the universality class of the three-dimensional $XY$ model. However, the exponent $\alpha$ derived from the heat capacity is consistent with the Ising universality class. We discuss a possible resolution of this puzzle. We also demonstrate the existence of a rotationally symmetric region within the ordered phase for all $N\geq 5$ at least in the finite volume. Comment: 25 pages, 4 figures, 8 tables |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.nuclphysb.2013.12.003 |
| URL الوصول: | http://arxiv.org/abs/1310.5997 |
| رقم الأكسشن: | edsarx.1310.5997 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.nuclphysb.2013.12.003 |
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