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Feynmf is a LaTeX package for easy drawing of professional quality Feynman diagrams with Metafont (or Metapost). Feynmf lays out most diagrams satisfactorily from the structure of the graph without any need for manual intervention.…

High Energy Physics - Phenomenology · Physics 2009-10-28 Thorsten Ohl

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

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

We give a concise and pedagogical introduction to Feynman diagrams. After discussing a toy model which requires only undergraduate mathematics, we focus on relativistic quantum field theory. We review the derivation of Feynman rules from…

High Energy Physics - Phenomenology · Physics 2025-01-16 Stefan Weinzierl

A computer program has been developed which generates Feynman graphs automatically for scattering and decay processes in non-Abelian gauge theory of high-energy physics. A new acceleration method is presented for both generating and…

High Energy Physics - Theory · Physics 2009-10-28 Toshiaki Kaneko

In quantum electrodynamics, optical processes are theoretically described by double-sided Feynman diagrams. This formalism is powerful in the case of molecules but proves inappropriate to account for light-matter interactions within complex…

Optics · Physics 2019-06-10 T. Noblet , C. Humbert

Applications of decision diagrams in quantum circuit analysis have been an active research area. Our work introduces FeynmanDD, a new method utilizing standard and multi-terminal decision diagrams for quantum circuit simulation and…

Quantum Physics · Physics 2025-09-11 Ziyuan Wang , Bin Cheng , Longxiang Yuan , Zhengfeng Ji

These lectures are intended to provide the theoretical basis of describing high-energy particle collisions at a level appropriate to graduate students in experimental high energy physics. They are supposed to be familiar with quantum…

High Energy Physics - Phenomenology · Physics 2016-08-09 Z. Trócsányi

We present STR (Star-Triangle Relations), a Mathematica package designed to solve Feynman integrals by means of the method of uniqueness in any Euclidean spacetime dimension. We provide a set of tools to draw Feynman diagrams and interact…

High Energy Physics - Theory · Physics 2020-08-26 Michelangelo Preti

We present SmeftFR, a Mathematica package designed to generate the Feynman rules for the Standard Model Effective Field Theory (SMEFT) including the complete set of gauge invariant operators up to dimension~6. Feynman rules are generated…

High Energy Physics - Phenomenology · Physics 2019-12-02 A. Dedes , M. Paraskevas , J. Rosiek , K. Suxho , L. Trifyllis

A flagship application of quantum computers is the simulation of other quantum systems, including quantum field theories. In this article, we show how quantum computers can be employed to naturally calculate Feynman diagrams and their…

High Energy Physics - Phenomenology · Physics 2025-07-11 Herschel A. Chawdhry , Mathieu Pellen , Simon Williams

Particle Dobble is an open-access, gamified learning tool designed to address persistent misconceptions in particle physics education by symbolically representing elements of the Standard Model. Aimed at upper secondary and introductory…

Physics Education · Physics 2026-03-02 Lukas Mientus , Anna Ruechel , Karsten Kalke , Andreas Borowski

Mathematical reasoning with algebraic and graphical representations is essential for success in physics courses. Many problems require students to fluently move between algebraic and graphical representations. We developed a freely…

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 introduce a novel compositional description of Feynman diagrams, with well-defined categorical semantics as morphisms in a dagger-compact category. Our chosen setting is suitable for infinite-dimensional diagrammatic reasoning,…

Quantum Physics · Physics 2022-05-03 Razin A. Shaikh , Stefano Gogioso

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

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

Gamification of quantum theory can provide new inroads into the subject: by allowing users to experience simulated worlds that manifest obvious quantum behaviors they can potentially build intuition for quantum phenomena. The Qubit Factory…

Physics Education · Physics 2024-06-19 Glen Evenbly

Diagrammatic approaches to perturbation theory transformed the practicability of calculations in particle physics. In the case of extended theories of gravity, however, obtaining the relevant diagrammatic rules is non-trivial: we must…

High Energy Physics - Phenomenology · Physics 2024-10-22 Andrei Lazanu , Peter Millington , Sergio Sevillano Muñoz

We present a method for a recursive graphical construction of Feynman diagrams with their correct multiplicities in quantum electrodynamics. The method is first applied to find all diagrams contributing to the vacuum energy from which all…

High Energy Physics - Theory · Physics 2009-10-31 M. Bachmann , H. Kleinert , A. Pelster