کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1839947 1527724 2015 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Integrability in three dimensions: Algebraic Bethe ansatz for anyonic models
چکیده انگلیسی

We extend basic properties of two dimensional integrable models within the Algebraic Bethe Ansatz approach to 2+12+1 dimensions and formulate the sufficient conditions for the commutativity of transfer matrices of different spectral parameters, in analogy with Yang–Baxter or tetrahedron equations. The basic ingredient of our models is the R-matrix, which describes the scattering of a pair of particles over another pair of particles, the quark-anti-quark (meson) scattering on another quark-anti-quark state. We show that the Kitaev model belongs to this class of models and its R-matrix fulfills well-defined equations for integrability.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 899, October 2015, Pages 444–450
نویسندگان
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