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In perturbative calculations, e.g., in the setting of Quantum Chromodynamics (QCD) one aims at the evaluation of Feynman integrals. Here one is often faced with the problem to simplify multiple nested integrals or sums to expressions in…

Symbolic Computation · Computer Science 2018-09-18 Johannes Blümlein , Carsten Schneider

Version 3 of FORM is introduced. It contains many new features that are inspired by current developments in the methodology of computations in quantum field theory. A number of these features is discussed in combination with examples. In…

Mathematical Physics · Physics 2007-05-23 J. A. M. Vermaseren

Numerical simulation is an important non-perturbative tool to study quantum field theories defined in non-commutative spaces. In this contribution, a selection of results from Monte Carlo calculations for non-commutative models is…

High Energy Physics - Theory · Physics 2016-11-21 Marco Panero

We present the Feynman integral reduction program Kira 1.2 and describe its new features and other changes w.r.t. the previous versions. The main new features include a much faster equation generator, more flexible seed specification…

High Energy Physics - Phenomenology · Physics 2018-12-05 Philipp Maierhöfer , Johann Usovitsch

We present version 3 of Kira, a Feynman integral reduction program for high-precision calculations in quantum field theory and gravitational-wave physics. Building on previous versions, Kira 3 introduces optimized seeding and equation…

High Energy Physics - Phenomenology · Physics 2025-05-27 Fabian Lange , Johann Usovitsch , Zihao Wu

This paper describes the Mathematica package FeynArts used for the generation and visualization of Feynman diagrams and amplitudes. The main features of version 3 are: generation of diagrams at three levels, user-definable model files,…

High Energy Physics - Phenomenology · Physics 2009-10-31 T. Hahn

This paper describes a package for calculations of expressions with Dirac matrixes. Advantages to existing similar packages are described. MatrixExp package is intended for simplification of complex expressions involving $\gamma$-matrixes,…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. A. Poghosyan

GroupMath is a Mathematica package which performs several calculations related to semi-simple Lie algebras and the permutation groups, both of which are important in particle physics as well as in other areas of research.

High Energy Physics - Theory · Physics 2021-07-28 Renato M. Fonseca

We present an open-source computer program written in Python language for quantum measurement and related issues. In our program, quantum states and operators, including quantum gates, can be developed into a quantum-object function…

Quantum Physics · Physics 2021-03-17 Le Bin Ho , Kieu Quang Tuan , Hung Q. Nguyen

FeAmGen.jl is a Julia package designed to generate Feynman diagrams and their corresponding amplitudes for various processes in particle physics. Utilizing the models in the Universal Feynman Output (UFO) format and Qgraf for diagram…

High Energy Physics - Phenomenology · Physics 2024-05-10 Quan-feng Wu , Zhao Li

Kwant is a Python package for numerical quantum transport calculations. It aims to be an user-friendly, universal, and high-performance toolbox for the simulation of physical systems of any dimensionality and geometry that can be described…

Mesoscale and Nanoscale Physics · Physics 2015-10-12 Christoph W. Groth , Michael Wimmer , Anton R. Akhmerov , Xavier Waintal

Many interesting and useful symbolic computation algorithms manipulate mathematical expressions in mathematically meaningful ways. Although these algorithms are commonplace in computer algebra systems, they can be surprisingly difficult to…

Logic in Computer Science · Computer Science 2019-05-07 Jacques Carette , William M. Farmer

FormCalc is a matrix-element generator that turns FeynArts amplitudes up to one loop into a Fortran code for computing the squared matrix element. The generated code can be run with FormCalc's own driver programs or used with other…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. Hahn

We present a new program package for calculating one-loop Feynman integrals, based on a new method avoiding Feynman parametrization and the contraction due to Passarino and Veltman. The package is calculating one-, two- and three-point…

High Energy Physics - Phenomenology · Physics 2007-05-23 Lars Brucher , Johannes Franzkowski

We introduce SOFIA, a Mathematica package that automatizes the computation of singularities of Feynman integrals, based on new theoretical understanding of their analytic structure. Given a Feynman diagram, SOFIA generates a list of…

High Energy Physics - Theory · Physics 2026-01-16 Miguel Correia , Mathieu Giroux , Sebastian Mizera

The qft++ package is a library of C++ classes that facilitate numerical (not algebraic) quantum field theory calculations. Mathematical objects such as matrices, tensors, Dirac spinors, polarization and orbital angular momentum tensors,…

High Energy Physics - Phenomenology · Physics 2015-05-13 M. Williams

We describe QWalk, a new computational package capable of performing Quantum Monte Carlo electronic structure calculations for molecules and solids with many electrons. We describe the structure of the program and its implementation of…

Computational Physics · Physics 2007-10-25 Lucas K. Wagner , Michal Bajdich , Lubos Mitas

This short note proposes a symbolic approach for representing and reasoning about quantum circuits using complex, vector or matrix-valued Boolean expressions. A major benefit of this approach is that it allows us to directly borrow the…

Quantum Physics · Physics 2020-10-08 Mingsheng Ying , Zhengfeng Ji

We present trainsum, a versatile Python package for doing computations with multidimensional quantics tensor trains: https://github.com/fh-igd-iet/trainsum. Using the Array API standard together with opt_einsum, trainsum allows the…

Mathematical Software · Computer Science 2026-02-25 Paul Haubenwallner , Matthias Heller

We present the VECMA toolkit (VECMAtk), a flexible software environment for single and multiscale simulations that introduces directly applicable and reusable procedures for verification, validation (V&V), sensitivity analysis (SA) and…