تقرير
Strong-coupling critical behavior in three-dimensional lattice Abelian gauge models with charged $N$-component scalar fields and $SO(N)$ symmetry
| العنوان: | Strong-coupling critical behavior in three-dimensional lattice Abelian gauge models with charged $N$-component scalar fields and $SO(N)$ symmetry |
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| المؤلفون: | Bonati, Claudio, Pelissetto, Andrea, Vicari, Ettore |
| المصدر: | Phys. Rev. E 109, 064142 (2024) |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter High Energy Physics - Lattice |
| مصطلحات موضوعية: | Condensed Matter - Statistical Mechanics, High Energy Physics - Lattice |
| الوصف: | We consider a three-dimensional lattice Abelian Higgs gauge model for a charged $N$-component scalar field ${\phi}$, which is invariant under $SO(N)$ global transformations for generic values of the parameters. We focus on the strong-coupling regime, in which the kinetic Hamiltonian term for the gauge field is a small perturbation, which is irrelevant for the critical behavior. The Hamiltonian depends on a parameter $v$ which determines the global symmetry of the model and the symmetry of the low-temperature phases. We present renormalization-group predictions, based on a Landau-Ginzburg-Wilson effective description that relies on the identification of the appropriate order parameter and on the symmetry-breaking patterns that occur at the strong-coupling phase transitions. For $v=0$, the global symmetry group of the model is $SU(N)$; the corresponding model may undergo continuous transitions only for $N=2$. For $v\not=0$, i.e., in the $SO(N)$ symmetric case, continuous transitions (in the Heisenberg universality class) are possible also for $N=3$ and 4. We perform Monte Carlo simulations for $N=2,3,4,6$, to verify the renormalization-group predictions. Finite-size scaling analyses of the numerical data are in full agreement. Comment: 12 pages, 11 pdf figures, some references added. arXiv admin note: text overlap with arXiv:2310.08504 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevE.109.064142 |
| URL الوصول: | http://arxiv.org/abs/2403.12758 |
| رقم الأكسشن: | edsarx.2403.12758 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevE.109.064142 |
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