مشخصات پژوهش

صفحه نخست /Resurgence in the O(4) sigma ...
عنوان Resurgence in the O(4) sigma model
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها Integrable Field Theories, Renormalization Regularization and Renormalons, Sigma Models, Field Theories in Lower Dimensions
چکیده We analyze the free energy of the integrable two dimensional O(4) sigma model in a magnetic field. We use Volin’s method to extract high number (2000) of perturbative coefficients with very high precision. The factorial growth of these coefficients are regulated by switching to the Borel transform, where we perform several asymptotic analysis. High precision data allowed to identify Stokes constants and alien derivatives with exact expressions. These reveal a nice resurgence structure which enables to formulate the first few terms of the ambiguity free trans-series. We check these results against the direct numerical solution of the exact integral equation and find complete agreement.
پژوهشگران زولتان باینوک (نفر دوم)، مایکل ابوت (نفر اول)، یانوش بالوج (نفر سوم)، آرپاد هگدوس (نفر چهارم)، سعیده صادقیان (نفر پنجم)