کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1843745 1031592 2009 69 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Algebraic Bethe ansatz for U(1) invariant integrable models: The method and general results
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Algebraic Bethe ansatz for U(1) invariant integrable models: The method and general results
چکیده انگلیسی
In this work we have developed the essential tools for the algebraic Bethe ansatz solution of integrable vertex models invariant by a unique U(1) charge symmetry. The formulation is valid for arbitrary statistical weights and respective number N of edge states. We show that the fundamental commutation rules between the monodromy matrix elements are derived by solving linear systems of equations. This makes possible the construction of the transfer matrix eigenstates by means of a new recurrence relation depending on N−1 distinct types of creation fields. The necessary identities to solve the eigenvalue problem are obtained exploring the unitarity property and the Yang-Baxter equation satisfied by the R-matrix. The on-shell and off-shell properties of the algebraic Bethe ansatz are explicitly presented in terms of the arbitrary R-matrix elements. This includes the transfer matrix eigenvalues, the Bethe ansatz equations and the structure of the vectors not parallel to the eigenstates.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 806, Issue 3, 11 January 2009, Pages 567-635
نویسندگان
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