کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1839982 1527724 2015 38 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quantum spectral curve as a tool for a perturbative quantum field theory
ترجمه فارسی عنوان
منحنی طیفی کوانتومی به عنوان یک ابزار برای نظریه میدان کوانتومی مبهم
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
چکیده انگلیسی

An iterative procedure perturbatively solving the quantum spectral curve of planar N=4N=4 SYM for any operator in the slsl(2) sector is presented. A Mathematica notebook executing this procedure is enclosed. The obtained results include 10-loop computations of the conformal dimensions of more than ten different operators.We prove that the conformal dimensions are always expressed, at any loop order, in terms of multiple zeta-values with coefficients from an algebraic number field determined by the one-loop Baxter equation. We observe that all the perturbative results that were computed explicitly are given in terms of a smaller algebra: single-valued multiple zeta-values times the algebraic numbers.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nuclear Physics B - Volume 899, October 2015, Pages 810–847
نویسندگان
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