Logarithmic forms and differential equations for Feynman integrals
نویسندگان
چکیده
منابع مشابه
Evaluating multiloop Feynman integrals by differential equations
One year ago Henn suggested a new approach to solve differential equations for multiloop Feyn-man integrals. It is based on the notion of uniform transcendentality. A brief review of applications of this approach is presented.
متن کاملDifferential equations for definition and evaluation of Feynman integrals.
It is shown that every Feynman integral can be interpreted as Green function of some linear differential operator with constant coefficients. This definition is equivalent to usual one but needs no regularization and application of R-operation. It is argued that presented formalism is convenient for practical calculations of Feynman integrals. Though fundamental results in renormalization theor...
متن کاملFeynman integrals and difference equations
We report on the calculation of multi-loop Feynman integrals for single-scale problems by means of difference equations in Mellin space. The solution to these difference equations in terms of harmonic sums can be constructed algorithmically over difference fields, the so-called ΠΣ∗-fields. We test the implementaion of the Mathematica package Sigma on examples from recent higher order perturbati...
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
Feynman Diagrams and Differential Equations
We review in a pedagogical way the method of differential equations for the evaluation of D-dimensionally regulated Feynman integrals. After dealing with the general features of the technique, we discuss its application in the context of oneand two-loop corrections to the photon propagator in QED, by computing the Vacuum Polarization tensor exactly in D. Finally, we treat two cases of less triv...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2020
ISSN: 1029-8479
DOI: 10.1007/jhep02(2020)099