Open AccessPosted Content
Reduze 2 - Distributed Feynman Integral Reduction
A. von Manteuffel,C. Studerus +1 more
Reads0
Chats0
TLDR
Reduze as mentioned in this paper is a computer program for reducing Feynman integrals to master integrals employing a variant of Laporta's reduction algorithm, which is based on graph and matroid based algorithms.Abstract:
Reduze is a computer program for reducing Feynman integrals to master integrals employing a variant of Laporta's reduction algorithm. This article describes version 2 of the program. New features include the distributed reduction of single topologies on multiple processor cores. The parallel reduction of different topologies is supported via a modular, load balancing job system. Fast graph and matroid based algorithms allow for the identification of equivalent topologies and integrals.read more
Citations
More filters
Journal ArticleDOI
FIRE5: A C++ implementation of Feynman Integral REduction
TL;DR: The C++ version of FIRE is presented — a powerful program performing Feynman integral reduction to master integrals that can be treated as a task to solve a huge system of sparse linear equations with polynomial coefficients.
Journal ArticleDOI
Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
TL;DR: These algorithms for symbolic integration of hyperlogarithms multiplied by rational functions are implemented in Maple and their application to the computation of Feynman integrals is discussed.
Posted Content
Presenting LiteRed: a tool for the Loop InTEgrals REDuction
TL;DR: LiteRed as discussed by the authors performs the heuristic search of the symbolic IBP reduction rules for loop integrals and implements several convenient tools for the search of symmetry relations, construction of the differential equations and dimensional recurrence relations.
Journal ArticleDOI
Kira—A Feynman integral reduction program
TL;DR: A new implementation of the Laporta algorithm to reduce scalar multi-loop integrals appearing in quantum field theoretic calculations to a set of master integrals is presented by using an additional algorithm based on modular arithmetic to remove linearly depen- dent equations from the system of equations arising from integration-by-parts and Lorentz identities.
References
More filters
Journal ArticleDOI
Regularization and Renormalization of Gauge Fields
Gerard 't Hooft,M.J.G. Veltman +1 more
TL;DR: In this article, a new regularization and renormalization procedure for gauge theories is presented, which is particularly well suited for the treatment of gauge theories and is transparent when anomalies such as the Bell-Jackiw-Adler anomaly may occur.
Journal ArticleDOI
Integration by parts: The algorithm to calculate β-functions in 4 loops
K.G. Chetyrkin,F.V. Tkachov +1 more
TL;DR: In this paper, it was proved that the counterterm for an arbitrary 4-loop Feynman diagram in an arbitrary model is calculable within the minimal subtraction scheme in terms of rational numbers and the Riemann ζ-function in a finite number of steps via a systematic "algebraic" procedure involving neither integration of elementary, special, or any other functions, nor expansions in and summation of infinite series of any kind.
Journal ArticleDOI
Generating Feynman Diagrams and Amplitudes with FeynArts 3
TL;DR: The Mathematica package FeynArts as discussed by the authors is used for the generation and visualization of Feynman diagrams and amplitudes, with three levels, user-defined model files, and support for supersymmetric models.
Journal ArticleDOI
Practical graph isomorphism, II
Brendan D. McKay,Adolfo Piperno +1 more
TL;DR: Traces as mentioned in this paper is a graph isomorphism algorithm based on the refinement-individualization paradigm, and it is implemented in several of the key implementations of the program nauty.
Journal ArticleDOI
Automatic Feynman graph generation
TL;DR: A general method is devised for the automatic generation of Feynman diagrams in gauge (and other) field theories and the performance of an implemented computer program is described.
Related Papers (5)
Integration by parts: The algorithm to calculate β-functions in 4 loops
K.G. Chetyrkin,F.V. Tkachov +1 more