Analytic result for the nonplanar hexa-box integrals

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Box Integrals

By a " box integral " we mean here an expectation | r − q| s where r runs over the unit n-cube, with q and s fixed, explicitly:

متن کامل

Higher-Dimensional Box Integrals

Herein, with the aid of substantial symbolic computation, we solve previously open problems in the theory of n-dimensional box integrals Bn(s) := 〈|~r|〉; ~r ∈ [0, 1]. In particular we resolve an elusive integral called K5 that previously acted as a blockade against closed-form evaluation in n = 5 dimensions. In consequence we now know that Bn(integer) can be given a closed form for n = 1, 2, 3,...

متن کامل

Advances in the theory of box integrals

Box integrals—expectations 〈|~r|〉 or 〈|~r − ~q|〉 over the unit n-cube—have over three decades been occasionally given closed forms for isolated n, s. By employing experimental mathematics together with a new, global analytic strategy, we prove that for each of n = 1, 2, 3, 4 dimensions the box integrals are for any integer s hypergeometrically closed (“hyperclosed”) in an explicit sense we clar...

متن کامل

On Analytic Integrals along the Unstable Separatrix

One of the most recent solved problem of the theory of hamiltonian dynamical systems with two degrees of freedom is finishing a proof of the exponentially small transversality of the separatrices for the standard map ([1], [2], [3], [4]). The central point if the proof is a construction of an analytic integral along the unstable separatrix. Only the article [4] contains the complete evidence of...

متن کامل

A lethargy result for real analytic functions

We prove that, if (C[a, b], {An}) is an approximation scheme and (An) satisfies de La Vallée-Poussin Theorem, there are instances of continuous functions on [a, b], real analytic on (a, b], which are “poorly approximable” by the elements of {An}. This illustrates the thesis that the smoothness conditions guaranteeing that a function is “well approximable” must be “global”. The failure of smooth...

متن کامل

ذخیره 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: 2019

ISSN: 1029-8479

DOI: 10.1007/jhep03(2019)042