DoFun 3.0: Functional equations in Mathematica
arXiv:1908.02760 · doi:10.1016/j.cpc.2019.107058
Abstract
We present version 3.0 of the Mathematica package DoFun for the derivation of functional equations. In this version, the derivation of equations for correlation functions of composite operators was added. In the update, the general workflow was slightly modified taking into account experience with the previous version. In addition, various tools were included to improve the usage experience and the code was partially restructured for easier maintenance.
arXiv comment15 pages, 3 figures; code at https://github.com/markusqh/DoFun; v2: added quick start guide, clarified compatibility with Mathematica versions, agrees with published version
References in corpus (68)
- Exact evolution equation for the effective potential
- Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
- The Infrared Behavior of QCD Green's Functions - Confinement, Dynamical Symmetry Breaking, and Hadrons as Relativistic Bound States
- New Developments in FeynCalc 9.0
- Aspects of the Functional Renormalisation Group
- New features of FORM
- Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
- FORM version 4.0
- Infrared Properties of QCD from Dyson-Schwinger equations
- Baryons as relativistic three-quark bound states
- Group theory factors for Feynman diagrams
- Pinch Technique: Theory and Applications
- Introduction to the functional RG and applications to gauge theories
- Fermion Interactions and Universal Behavior in Strongly Interacting Theories
- Chiral symmetry breaking in continuum QCD
- Landau gauge Yang-Mills correlation functions
- Non-perturbative quark, gluon and meson correlators of unquenched QCD
- Gauge bosons at zero and finite temperature
- xPert: Computer algebra for metric perturbation theory
- From Quarks and Gluons to Hadrons: Chiral Symmetry Breaking in Dynamical QCD
- Towards apparent convergence in asymptotically safe quantum gravity
- Gluonic three-point correlations in pure Landau gauge QCD
- Renormalization Group Approach towards the QCD Phase Diagram
- FeynHelpers: Connecting FeynCalc to FIRE and Package-X
- Symmetric nuclear matter from the strong interaction
- The Universal RG Machine
- The Vacuum Structure of Vector Mesons in QCD
- Infrared singularities in Landau gauge Yang-Mills theory
- On the influence of three-point functions on the propagators of Landau gauge Yang-Mills theory
- A Dyson-Schwinger study of the four-gluon vertex
- Non-perturbative finite-temperature Yang-Mills theory
- Automatic Computation of Feynman Diagrams
- FormTracer - A Mathematica Tracing Package Using FORM
- Critical behavior of the (2+1)-dimensional Thirring model
- On gluon and ghost propagators in linear covariant gauges
- Algorithmic derivation of functional renormalization group equations and Dyson-Schwinger equations
- Fierz-complete NJL model study III: Emergence from quark-gluon dynamics
- FORM version 4.2
- Two- and three-point functions in two-dimensional Landau-gauge Yang-Mills theory: Continuum results
- Correlation functions of three-dimensional Yang-Mills theory from the FRG
- Recent developments in bound-state calculations using the Dyson-Schwinger and Bethe-Salpeter equations
- Finite temperature spectral functions in the O(N)-model
- Algorithmic derivation of Dyson-Schwinger Equations
- Fierz-complete NJL model study: fixed points and phase structure at finite temperature and density
- Correlation functions of three-dimensional Yang-Mills theory from Dyson-Schwinger equations
- Infrared Behavior of Three-Point Functions in Landau Gauge Yang-Mills Theory
- Fierz-complete NJL model study II: towards the fixed-point and phase structure of hot and dense two-flavor QCD
- Infrared analysis of Dyson-Schwinger equations taking into account the Gribov horizon in Landau gauge
- Bound state properties from the Functional Renormalisation Group
- On non-primitively divergent vertices of Yang-Mills theory
- CrasyDSE: A framework for solving Dyson-Schwinger equations
- On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge
- Self-consistent Spectral Functions in the Model from the FRG
- Features of ghost-gluon and ghost-quark bound states related to BRST quartets
- Spurious divergences in Dyson-Schwinger equations
- On the Infrared Behavior of Landau Gauge Yang-Mills Theory with a Fundamentally Charged Scalar Field
- Dense two-color QCD from Dyson-Schwinger equations
- Low-energy limit of the quark-meson model from the functional renormalization group approach
- Phase structure and propagators at nonvanishing temperature for QCD and QCD-like theories
- Vertex functions of Coulomb gauge Yang--Mills theory
- Dynamical generation of low-energy couplings from quark-meson fluctuations
- HEPMath 1.4: A Mathematica Package for Semi-Automatic Computations in High Energy Physics
- A study of the influence of the gauge group on the Dyson-Schwinger equations for scalar-Yang-Mills systems
- FlowPy - a numerical solver for functional renormalization group equations
- An exploratory study of Yang-Mills three-point functions at non-zero temperature
- Precision Calculations for Future Colliders
- Exploring the Tan contact term in Yang-Mills theory
- Track 3: Computations in theoretical physics -- techniques and methods
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- The nonperturbative functional renormalization group and its applications
- Quantum gravity: a fluctuating point of view
- QCD at finite temperature and density within the fRG approach: An overview
- Correlation functions of Landau gauge Yang-Mills theory
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- The Asymptotically Safe Standard Model: From quantum gravity to dynamical chiral symmetry breaking
- Higher spin glueballs from functional methods
- Dense two-color QCD from Dyson-Schwinger equations
- Are there ALPs in the asymptotically safe landscape?
- Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators
- Fluctuation-induced higher-derivative couplings and infrared dynamics of the Quark-Meson-Diquark Model
- The analytic structure of three-point functions from contour deformations
- Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
- Weakly-interacting Bose-Bose mixtures from the functional renormalisation group
- The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
- Functional renormalization of QCD in dimensions: four-fermion interactions from quark-gluon dynamics
- Dynamical symmetry breaking in Georgi-Glashow chiral-gauge theories
- Exploring the Tan contact term in Yang-Mills theory
- Functional-renormalization-group approach to strongly coupled Bose-Fermi mixtures in two dimensions