تقرير
Quantum spins and random loops on the complete graph
| العنوان: | Quantum spins and random loops on the complete graph |
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| المؤلفون: | Björnberg, Jakob E., Fröhlich, Jürg, Ueltschi, Daniel |
| المصدر: | Commun. Math. Phys. 375, 1629-1663 (2020) |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Mathematics - Probability |
| الوصف: | We present a systematic analysis of quantum Heisenberg-, XY- and interchange models on the complete graph. These models exhibit phase transitions accompanied by spontaneous symmetry breaking, which we study by calculating the generating function of expectations of powers of the averaged spin density. Various critical exponents are determined. Certain objects of the associated loop models are shown to have properties of Poisson--Dirichlet distributions. Comment: 31 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s00220-019-03634-x |
| URL الوصول: | http://arxiv.org/abs/1811.12834 |
| رقم الأكسشن: | edsarx.1811.12834 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s00220-019-03634-x |
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