下面将详细描述two-loop recursion算法的步骤: 1.确定基本情况(Base Case): -在编写递归算法时,首先需要确定基本情况,即递归调用停止的条件。这可以是问题规模达到最小值或者某个特定条件满足时的情况。 2.划分子问题: -接下来,将原始问题划分为更小的子问题。这些子问题应该是原问题的简化版本,可以通过递归调用来...
We present a closed-form solution for these integrals, proving that they can always be factorized into products of one-loop cases, for all integer-valued propagator powers.doi:10.48550/arXiv.2210.10593Davydychev, Andrei I.Schrder, York
2 Massive two-loop vacuum integrals: IBP recursions For the massive two-loop scalar vacuum integrals Bν1,ν2,ν3(d; m21, m22, m23) that were defined in eq. (1.3), general results in terms of Appell's hypergeometric function F4 can be found1 in eq. (4.3) of [7]. As has ...
网络双回路;双回路的 网络释义 1. 双回路 ...摺叠放入口袋。特殊设计的双回路(two-loop)系统可让你轻松将单车上锁,不像一般单回路 (single loop)车锁容易有难锁或是 … cyclingtime.com|基于2个网页 2. 双回路的 机械专业英语词汇... ... two-level subroutine 二级子程序two-loop双回路的two-loop servo...
Recursion relations for two-loop self-energy diagrams on-shell A set of recurrence relations for on-shell two-loop self-energy diagrams with one mass is presented, which allows to reduce the diagrams with arbitrary ind... J Fleischer,MY Kalmykov,AV Kotikov - 《Physics》 被引量: 5发表: 199...
Finally all remaining integrals can be reduced by recursion [5] to bubble-integrals of the type V αβγ ({m}) = d d k 1 d d k 2 (k 2 1 −m 2 1 ) α (k 2 2 −m 2 2 ) β ((k 1 −k 2 ) 2 −m 2 3 ) γ , (6) or to factorizing one-loop integrals.Th...
Summary of the two loop recursion algorithm for L-FGD.Naiyang, Guan
We derive a set of recursion relations which relate the terms in the n-resolvents to those in the (n-1)-resolvents.doi:10.1016/0550-3213(96)00164-2Anazawa, M.Itoyama, H.Nuclear Physics BM. Anazawa, A. Ishikawa and H. Itoyama, Continuum Annulus Amplitude from the Two-Matrix Model, ...
These equations have a straightforward interpretation as recursion relations for correlation functions, as we will see explicitly for the case p = 2 in §7. There exists actually a much bigger algebr...Dijkgraaf, R., Verlinde, E. & Verlinde, H. Loop equations and Virasoro constraints in non...
2.1 State of the art and rules of IREG The extraction of UV divergent basic divergent integrals in IREG can be effected in consonance with Bogoliubov's recursion formula [74] complying with unitarity, Lorentz invariance and locality; a proof-of-concept calculation has shown how renormalisation ...