Scalar product of twisted XXX modified Bethe vectors

التفاصيل البيبلوغرافية
العنوان: Scalar product of twisted XXX modified Bethe vectors
المؤلفون: Belliard, S., Slavnov, N. A., Vallet, B.
المصدر: J. Stat. Mech. 9 (2018) 093103
سنة النشر: 2018
المجموعة: Mathematics
High Energy Physics - Theory
Mathematical Physics
مصطلحات موضوعية: Mathematical Physics, High Energy Physics - Theory
الوصف: We consider closed XXX spin chains with broken total spin $U(1)$ symmetry within the framework of the modified algebraic Bethe ansatz. We study multiple actions of the modified monodromy matrix entries on the modified Bethe vectors. The obtained formulas of the multiple actions allow us to calculate the scalar products of the modified Bethe vectors. We find an analog of Izergin-Korepin formula for the scalar products. This formula involves modified Izergin determinants and can be expressed as sums over partitions of the Bethe parameters.
Comment: 26 pages
نوع الوثيقة: Working Paper
DOI: 10.1088/1742-5468/aaddac
URL الوصول: http://arxiv.org/abs/1805.11323
رقم الأكسشن: edsarx.1805.11323
قاعدة البيانات: arXiv
الوصف
DOI:10.1088/1742-5468/aaddac