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The availability of computational modeling tools for subatomic physics (Form, FeynArts, FormCalc, and FeynCalc) has made it possible to perform sophisticated calculations in perturbative quantum field theory. We have adapted these packages…

Computational Physics · Physics 2010-02-05 A. Aleksejevs , M. Butler

The ability to represent perturbative expansions of interacting quantum field theories in terms of simple diagrammatic rules has revolutionized calculations in particle physics (and elsewhere). Moreover, these rules are readily automated, a…

General Relativity and Quantum Cosmology · Physics 2024-07-30 Sergio Sevillano Muñoz , Edmund J. Copeland , Peter Millington , Michael Spannowsky

We present SubTropica, a Mathematica package that performs symbolic integration of multi-polylogarithmic integrals using recent advances in tropical geometry. It focuses on the class of linearly-reducible Euler integrals, such as Feynman…

High Energy Physics - Theory · Physics 2026-04-24 Mathieu Giroux , Sebastian Mizera , Giulio Salvatori

In many-particle problems involving interacting fermions or bosons, the most natural language for expressing the Hamiltonian, the observables, and the basis states is the language of the second-quantization operators. It thus appears…

Quantum Physics · Physics 2015-05-28 Rok Zitko

We present a new tool for editing Feynman diagrams as well as several extensions in version 5.3 of the package FormCalc for the calculation of Feynman diagrams.

High Energy Physics - Phenomenology · Physics 2009-04-14 T. Hahn , J. I. Illana

A major challenge in light-matter simulations is bridging the disparate time and length scales of electrodynamics and molecular dynamics. Current computational approaches often rely on heuristic approximations of either the electromagnetic…

Computational Physics · Physics 2026-02-27 Xinwei Ji , Andres Felipe Bocanegra Vargas , Gang Meng , Tao E. Li

We describe an additional module for the Mathematica package FeynRules that allows for an easy building of any N=1 supersymmetric quantum field theory, directly in superspace. After the superfield content of a specific model has been…

High Energy Physics - Phenomenology · Physics 2015-05-27 Claude Duhr , Benjamin Fuks

The FDC is a general-purpose program package for Feynman Diagram Calculation. We outline previous successes in calculations and focus on its recent progress about automatic deduction the Feynman rules for first principle model, especially…

High Energy Physics - Phenomenology · Physics 2009-11-10 Jian-Xiong Wang

Mathematical formulae represent complex semantic information in a concise form. Especially in Science, Technology, Engineering, and Mathematics, mathematical formulae are crucial to communicate information, e.g., in scientific papers, and…

Digital Libraries · Computer Science 2018-04-16 Moritz Schubotz , Andre Greiner-Petter , Philipp Scharpf , Norman Meuschke , Howard Cohl , Bela Gipp

Starting from the basic level of mathematica here we illustrate how to use a mathematica notebook and write a program in the notebook. Next, we investigate elaborately the way of linking of external programs with mathematica, so-called the…

Mathematical Software · Computer Science 2015-10-29 Santanu K. Maiti

The Functional Machine Calculus (FMC), recently introduced by the authors, is a generalization of the lambda-calculus which may faithfully encode the effects of higher-order mutable store, I/O and probabilistic/non-deterministic input.…

Logic in Computer Science · Computer Science 2023-02-07 Chris Barrett , Willem Heijltjes , Guy McCusker

We give a brief introduction to FORM, a symbolic programming language for massive batch operations, designed by J.A.M. Vermaseren. In particular, we stress various methods to efficiently use FORM under the UNIX operating system. Several…

Symbolic Computation · Computer Science 2007-11-01 Michael M. Tung

Physics makes powerful use of mathematics, yet the way this use is made is often poorly understood. Professionals closely integrate their mathematical symbology with physical meaning, resulting in a powerful and productive structure. But…

Physics Education · Physics 2010-02-03 Edward F. Redish , Ayush Gupta

We introduce FunKit, a Mathematica package for the derivation and tracing of functional equations from arbitrary master equations. FunKit provides an expression vocabulary and a set of rules that allow for derivations in any given field…

High Energy Physics - Phenomenology · Physics 2026-05-29 Franz R. Sattler

Nowadays the Science progress depends on the numerical calculus, due to the possibility of obtention of solutions using simulations which would be impracticable, or even impossible, to be analitically obtained. In this aspect, it becomes…

Physics Education · Physics 2017-11-28 Hercules A. Oliveira , Caio V. Vieira , Tiago Kroetz

The FormCalc package automates the computation of FeynArts amplitudes up to one loop including the generation of a Fortran code for the numerical evaluation of the squared matrix element. Major new or enhanced features in Version 5 are:…

High Energy Physics - Phenomenology · Physics 2009-11-11 T. Hahn , M. Rauch

We introduce \textsc{qcmath}, a user-friendly quantum chemistry software tailored for electronic structure calculations, implemented using the Wolfram Mathematica language and available at \url{https://github.com/LCPQ/qcmath}. This…

Chemical Physics · Physics 2023-09-01 Enzo Monino , Antoine Marie , Pierre-François Loos

We present a software package DiracQ, for use in quantum many-body Physics. It is designed for helping with typical algebraic manipulations that arise in quantum Condensed Matter Physics and Nuclear Physics problems, and also in some…

Strongly Correlated Electrons · Physics 2026-01-16 John G. Wright , B. Sriram Shastry

During the last decade we have witnessed an impressive development in so-called interpreted languages and computational environments such as Maple, Mathematica, IDL, Matlab etc. Problems which until recently were typically solved on…

Physics Education · Physics 2007-05-23 Arnt Inge Vistnes , M. Hjorth-Jensen

We describe the implementation of the renormalized complex MSSM (cMSSM) in the diagram generator FeynArts and the calculational tool FormCalc. This extension allows to perform UV-finite one-loop calculations of cMSSM processes almost fully…

High Energy Physics - Phenomenology · Physics 2015-06-17 T. Fritzsche , T. Hahn , S. Heinemeyer , F. von der Pahlen , H. Rzehak , C. Schappacher