作者: 暗指 時(shí)間: 2025-3-21 20:23
https://doi.org/10.1007/978-3-319-25354-1 in the sense of ?.. ? i0, etc. Moreover, denominators with a linear dependence on . are also understood in this sense, e.g. 2. 2. ?.?i0, although sometimes this i0 dependence is explicitly indicated to avoid misunderstanding.作者: FATAL 時(shí)間: 2025-3-22 03:43 作者: 圣歌 時(shí)間: 2025-3-22 06:39
Industrial Policy for Southern Europe, star-triangle uniqueness relations [16, 23, 36] are methods for evaluating massless diagrams. The method of IR rearrangement [38], also in a generalized version based on the ..-operation [14, 34], is a method oriented at renormalization-group calculations.作者: 濃縮 時(shí)間: 2025-3-22 09:39
Book 2005 variety of methods for evaluating Feynman integrals has been developed over a span of more than fifty years, this book is a first attempt to summarize them. .Evaluating Feynman Integrals. characterizes the most powerful methods, in particular those used for recent, quite sophisticated calculations,作者: 難理解 時(shí)間: 2025-3-22 15:49
IBP and Reduction to Master Integrals,er integrals. In contrast to the evaluation of the master integrals, which is performed, at a sufficiently high level of complexity, in a Laurent expansion in ?, the reduction problem is solved at ., and the expansion in ? does not provide simplifications here.作者: 難理解 時(shí)間: 2025-3-22 20:18
Evaluation by Differential Equations,tegrals. Thus, this basic method is oriented at the evaluation of the master integrals. Moreover, in contrast to other methods of evaluating individual Feynman integrals, it is assumed within this method that a solution of the reduction problem is already known.作者: Harass 時(shí)間: 2025-3-23 00:39
0081-3869 ular those used for recent, quite sophisticated calculations, and then illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples..978-3-642-06297-1978-3-540-44703-0Series ISSN 0081-3869 Series E-ISSN 1615-0430 作者: Connotation 時(shí)間: 2025-3-23 01:36 作者: 過(guò)于光澤 時(shí)間: 2025-3-23 09:09 作者: 小畫(huà)像 時(shí)間: 2025-3-23 13:19
Tables, in the sense of ?.. ? i0, etc. Moreover, denominators with a linear dependence on . are also understood in this sense, e.g. 2. 2. ?.?i0, although sometimes this i0 dependence is explicitly indicated to avoid misunderstanding.作者: 希望 時(shí)間: 2025-3-23 15:40 作者: notice 時(shí)間: 2025-3-23 18:24
A Brief Review of Some Other Methods, star-triangle uniqueness relations [16, 23, 36] are methods for evaluating massless diagrams. The method of IR rearrangement [38], also in a generalized version based on the ..-operation [14, 34], is a method oriented at renormalization-group calculations.作者: 外來(lái) 時(shí)間: 2025-3-24 01:29
Book 2005e them. .Evaluating Feynman Integrals. characterizes the most powerful methods, in particular those used for recent, quite sophisticated calculations, and then illustrates them with numerous examples, starting from very simple ones and progressing to nontrivial examples..作者: 鋼筆記下懲罰 時(shí)間: 2025-3-24 04:38
Non-Stationary Intergenerational Altruismer integrals. In contrast to the evaluation of the master integrals, which is performed, at a sufficiently high level of complexity, in a Laurent expansion in ?, the reduction problem is solved at ., and the expansion in ? does not provide simplifications here.作者: 托人看管 時(shí)間: 2025-3-24 08:17
https://doi.org/10.1057/9781137553218tegrals. Thus, this basic method is oriented at the evaluation of the master integrals. Moreover, in contrast to other methods of evaluating individual Feynman integrals, it is assumed within this method that a solution of the reduction problem is already known.作者: cloture 時(shí)間: 2025-3-24 13:12 作者: gait-cycle 時(shí)間: 2025-3-24 17:07 作者: 玩笑 時(shí)間: 2025-3-24 22:31
Economics in Cambridge, UK, after Keyneso that we shall study both kinds of parametric representations of Feynman integrals in one chapter. The use of these parameters enables us to transform Feynman integrals over loop momenta into parametric integrals where Lorentz invariance becomes manifest. Using alpha parameters we shall first evalu作者: 辯論 時(shí)間: 2025-3-25 02:28
Economic Theory of Public Enterprise a product and ratio of gamma functions. In particular, the inverse Mellin transform is given by such an integral. We shall, however, deal with a very specific technique in this field. The key ingredient of the method presented in this chapter is the MB representation used to replace a sum of two te作者: 跳動(dòng) 時(shí)間: 2025-3-25 03:54 作者: 主講人 時(shí)間: 2025-3-25 08:57 作者: Electrolysis 時(shí)間: 2025-3-25 12:11 作者: elastic 時(shí)間: 2025-3-25 16:33 作者: Meditative 時(shí)間: 2025-3-25 21:56 作者: Lipoprotein(A) 時(shí)間: 2025-3-26 00:50
Vladimir A. SmirnovUp-to-date review.Includes supplementary material: 作者: extract 時(shí)間: 2025-3-26 07:22
Springer Tracts in Modern Physicshttp://image.papertrans.cn/e/image/317218.jpg作者: INCUR 時(shí)間: 2025-3-26 11:33 作者: Indecisive 時(shí)間: 2025-3-26 16:21
Feynman Integrals: Basic Definitions and Tools,asic tools such as alpha parameters are presented. Various kinds of regularizations, in particular dimensional one, are presented and properties of dimensionally regularized Feynman integrals are formulated and discussed.作者: 600 時(shí)間: 2025-3-26 18:43 作者: 苦笑 時(shí)間: 2025-3-26 22:49
978-3-642-06297-1Springer-Verlag Berlin Heidelberg 2005作者: 富足女人 時(shí)間: 2025-3-27 02:49 作者: 無(wú)聊點(diǎn)好 時(shí)間: 2025-3-27 08:51
Intergenerational Redistribution,In the previous chapter, we solved IBP relations [7] in a non-systematic way. Now we are going to do this systematically following Baikov’s method. [2,4,5,14].作者: 北京人起源 時(shí)間: 2025-3-27 13:01
Economic Thought and Political TheoryThe Gauss hypergeometric function [3] is defined by the series作者: Hectic 時(shí)間: 2025-3-27 15:20
S. Quiroga,Z. Fernández-Haddad,C. SuárezNested sums are defined as follows [17]:作者: 專(zhuān)橫 時(shí)間: 2025-3-27 20:08 作者: 馬籠頭 時(shí)間: 2025-3-28 00:22
,Reduction to Master Integrals by Baikov’s Method,In the previous chapter, we solved IBP relations [7] in a non-systematic way. Now we are going to do this systematically following Baikov’s method. [2,4,5,14].作者: Initial 時(shí)間: 2025-3-28 06:10
Some Special Functions,The Gauss hypergeometric function [3] is defined by the series作者: 浮雕 時(shí)間: 2025-3-28 08:15
Summation Formulae,Nested sums are defined as follows [17]:作者: 無(wú)聊的人 時(shí)間: 2025-3-28 10:44 作者: 障礙物 時(shí)間: 2025-3-28 16:50 作者: geriatrician 時(shí)間: 2025-3-28 21:43
Feynman Integrals: Basic Definitions and Tools,asic tools such as alpha parameters are presented. Various kinds of regularizations, in particular dimensional one, are presented and properties of dimensionally regularized Feynman integrals are formulated and discussed.作者: 綁架 時(shí)間: 2025-3-29 02:55 作者: FLAIL 時(shí)間: 2025-3-29 04:51 作者: nocturnal 時(shí)間: 2025-3-29 08:20
IBP and Reduction to Master Integrals, down various equations (2.38) for integrals of derivatives with respect to loop momenta and use this set of relations between Feynman integrals in order to solve the reduction problem, i.e. to find out how a general Feynman integral of the given class can be expressed linearly in terms of some mast作者: 多產(chǎn)子 時(shí)間: 2025-3-29 11:37 作者: 細(xì)微差別 時(shí)間: 2025-3-29 16:21
Tables,n’ dependence, ?.., of the denominators, which is more natural when the powers of propagators are general complex numbers. As usual, ?.. is understood in the sense of ?.. ? i0, etc. Moreover, denominators with a linear dependence on . are also understood in this sense, e.g. 2. 2. ?.?i0, although som作者: ascend 時(shí)間: 2025-3-29 21:40
Analysis of Convergence and Sector Decompositions,m the region of small values of the α-parameters in (2.36), while the off-shell IR divergences arise from the integration over large –.. To reveal these divergences, the integration region is divided into so-called ‘sectors’, where new integration variables are introduced, with the goal to obtain a 作者: Isthmus 時(shí)間: 2025-3-29 23:53 作者: 膽小鬼 時(shí)間: 2025-3-30 05:15
