Report
Phase diagrams of the multitrace quartic matrix models of noncommutative \Phi^4
| العنوان: | Phase diagrams of the multitrace quartic matrix models of noncommutative \Phi^4 |
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| المؤلفون: | Ydri, B., Ramda, K., Rouag, A. |
| المصدر: | Phys. Rev. D 93, 065056 (2016) |
| سنة النشر: | 2015 |
| المجموعة: | High Energy Physics - Lattice High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory, High Energy Physics - Lattice |
| الوصف: | We report a direct and robust calculation, free from ergodic problems, of the non-uniform-to-uniform (stripe) transition line of noncommutative $\Phi^4_2$ by means of an exact Metropolis algorithm applied to the first non-trivial multitrace correction of this theory on the fuzzy sphere. In fact, we reconstruct the entire phase diagram including the Ising, matrix and stripe boundaries together with the triple point. We also report that the measured critical exponents of the Ising transition line agrees with the Onsager values in two dimensions. The triple point is identified as a termination point of the one-cut-to-two-cut transition line and is located at $(\tilde{b},\tilde{c})=(-1.55,0.4)$ which compares favorably with previous Monte Carlo estimate. Comment: 30 pages, 4 tables, 7 figures (17 graphs). arXiv admin note: text overlap with arXiv:1410.4881. text overlap with arXiv:1410.4881 |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevD.93.065056 |
| URL الوصول: | http://arxiv.org/abs/1509.03726 |
| رقم الانضمام: | edsarx.1509.03726 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevD.93.065056 |
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