This method is based on the observation that such leading behaviour must come from the singularity of each Feynman integral at infinite energy, this singularity arising from a pinch of the loop-momentum contours of integration by the poles of the integrand when the energy becomes infinite. The ...
We define a new method to track singularities of such integrals and present a computer program that implements the integration method. As our main result, we prove the existence of infinite families of massless 3- and 4-point graphs (including the ladder box graphs with arbitrary loop number ...
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Quantization by Feynman's path integration method 来自 掌桥科研 喜欢 0 阅读量: 10 作者: Kuo㏒hung Cheng 摘要: The uniqueness of the quantization of a quantum mechanical system by Feynman's path integration method is discussed. 关键词: Mechanical systems DOI: doi:10.1063/1.1666426 被引量:...
–1– IBP identities can be generated by considering integrals of total derivatives that van- ish on the integration boundary. They form a system of linear relations between Feynman integrals that differ by the powers of denominators and/or scalar products in the numera- tor, see, e.g., [...
Solution method: Using a Gauss/Laporta algorithm to solve the system of equations. Restrictions: Limitations depend on the complexity of the system (number of equations, number of kinematic invariants). Running time: Depends on the complexity of the system. ...
They suggested also a specific recipe for the case of one loop. In this letter we propose a simple method for calculation of the contribution from arbitrary diagrams. The method of Feynman functional integration is used. 1369 被引用 · 0 笔记 收藏 The Feynman Lectures on Physics Addison-Wesley...
eliminating first the integrals of higher weight – the method is elementary, even if, given the size of the system, it is convenient to use an autom- atized computer procedure. When that is done, it is found that all the integrals appearing when dealing with the graph of Fig.1. can...
Using the method of integration by parts within dimensional regularization [13] one can arrive at recurrence relations that provide all the relevant integrals contributing to an arbitrary power of the expansion. For example, here are results for the first four powers in the expansion of this ...
Each method has trade-offs in spatial or temporal resolution, compatibility with existing infrastructure, cost, and robustness to background noise. We will focus on defense applications in general applied to Arctic coastal environments, such as around Greenland. The relevance of each optical cable ...