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Diagrams are widely used in teaching computer science courses. They are useful in subjects such as automata and formal languages, data structures, etc. These diagrams, often drawn by students during exams or assignments, vary in structure,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Ethan Young , Zichun Wang , Aiden Taylor , Chance Jewell , Julian Myers , Satya Sri Rajiteswari Nimmagadda , Anthony White , Aniruddha Maiti , Ananya Jana

We present the manual for FeynMaster 2.1, a multitasking software for particle physics studies. This new version includes additional functions and is compatible with recent versions of related software. It can be downloaded in…

High Energy Physics - Phenomenology · Physics 2025-04-03 Duarte Fontes , Jorge C. Romão

FeynRules is a Mathematica-based package which addresses the implementation of particle physics models, which are given in the form of a list of fields, parameters and a Lagrangian, into high-energy physics tools. It calculates the…

High Energy Physics - Phenomenology · Physics 2014-05-30 Adam Alloul , Neil D. Christensen , Celine Degrande , Claude Duhr , Benjamin Fuks

A set of programs is presented for automatically generating and calculating Feynman diagrams. Diagrams are generated with FeynArts, then algebraically simplified using a combination of Mathematica and FORM implemented in the package…

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

In this short note we give some code to represent Diestel-Leader graphs in 3D. The code is written in TikZ.

General Mathematics · Mathematics 2023-01-24 Amandine Escalier

We present a new interface called FeynHelpers that connects FeynCalc, a Mathematica package for symbolic semi-automatic evaluation of Feynman diagrams and calculations in quantum field theory (QFT) to Package-X and FIRE. The former provides…

Computational Physics · Physics 2018-01-30 Vladyslav Shtabovenko

In this note we report on the new version of FeynCalc, a Mathematica package for symbolic semi-automatic evaluation of Feynman diagrams and algebraic expressions in quantum field theory. The main features of version 9.0 are: improved tensor…

High Energy Physics - Phenomenology · Physics 2018-01-30 Vladyslav Shtabovenko , Rolf Mertig , Frederik Orellana

Q-circuit is a list of macros that greatly simplifies the construction of quantum circuit diagrams (QCDs) in LaTeX with the help of the Xy-pic package. This tutorial should help the reader acquire the skill to render arbitrary QCDs in a…

Quantum Physics · Physics 2007-05-23 Bryan Eastin , Steven T. Flammia

We give a short introduction to Feynman diagrams, with many exercises. Text is targeted at students who had little or no prior exposure to quantum field theory. We present condensed description of single-particle Dirac equation, free…

Physics Education · Physics 2016-02-15 Kresimir Kumericki

Particle symbols and Feynman diagrams often used in particle physics can be generated by a word document processor. Standard office packages have their built in symbols such as solid-line, dashed-line, arrows, etc. which are also used in…

Data Analysis, Statistics and Probability · Physics 2022-08-12 Orhan Cakir

In this work we report on a new version of FeynCalc, a Mathematica package widely used in the particle physics community for manipulating quantum field theoretical expressions and calculating Feynman diagrams. Highlights of the new version…

High Energy Physics - Phenomenology · Physics 2024-09-02 Vladyslav Shtabovenko , Rolf Mertig , Frederik Orellana

Hand-drawn sketches are a natural and efficient medium for capturing and conveying ideas. Despite significant advancements in controllable natural image generation, translating freehand sketches into structured, machine-readable diagrams…

Artificial Intelligence · Computer Science 2025-08-05 Cheng Tan , Qi Chen , Jingxuan Wei , Gaowei Wu , Zhangyang Gao , Siyuan Li , Bihui Yu , Ruifeng Guo , Stan Z. Li

We present Version 9 of the Feynman-diagram calculator FormCalc and a flexible new suite of shell scripts and Mathematica packages based on FormCalc, which can be adapted and used as a template for calculations.

High Energy Physics - Phenomenology · Physics 2016-12-21 T. Hahn , S. Passehr , C. Schappacher

We consider the general problem of derivation of the Feynman rules for the matrix elements in momentum representation from the given Lagrangian in coordinate space invariant under the transformation of some gauge group. LanHEP package…

High Energy Physics - Phenomenology · Physics 2008-02-03 A. V. Semenov

Three programs are presented for automatically generating and calculating Feynman diagrams: the diagrams are generated with FeynArts, algebraically simplified with FormCalc, and finally evaluated numerically using the LoopTools package. The…

High Energy Physics - Phenomenology · Physics 2011-04-15 T. Hahn

Mathematical knowledge exists in many forms, ranging from informal textbooks and lecture notes to large formal proof libraries, yet moving between these representations remains difficult. Informal texts hide dependencies, while formal…

Human-Computer Interaction · Computer Science 2026-01-23 Elif Uskuplu , Lawrence S. Moss , Valeria de Paiva

Yquant is a LaTeX-only package -- i.e., involving no external programs -- that allows to typeset quantum circuits in a simple and human-readable language. It is inspired by the well-known qasm language and in fact even supports this…

Quantum Physics · Physics 2021-09-07 Benjamin Desef

The LanHEP program version 3.0 for Feynman rules generation from the Lagrangian is described. It reads the Lagrangian written in a compact form, close to the one used in publications. It means that Lagrangian terms can be written with…

High Energy Physics - Phenomenology · Physics 2014-11-18 A. Semenov

This paper is an introduction to the language of Feynman Diagrams. We use Reshetikhin-Turaev graphical calculus to define Feynman diagrams and prove that asymptotic expansions of Gaussian integrals can be written as a sum over a suitable…

Quantum Algebra · Mathematics 2013-09-30 Domenico Fiorenza , Riccardo Murri

An algorithm for the automatic Feynman diagram (FD) generation is presented in this paper. The algorithm starts directly from the definition formula of FD, and is simple in concept and easy for coding. The symmetry factor for each FD is…

High Energy Physics - Phenomenology · Physics 2013-05-14 Bo Xiao , Hao Wang , Shou-hua Zhu