Symbolic Computation in Theoretical Physics with Python

Physics
Computational Physics
Part 1: Open-source libraries

Introduction

Symbolic computation simplifies complex equations and helps solve problems in various fields. Python and open-source tools like SageMath make it easier to work on quantum field theory, general relativity, and beyond.

Main libraries

  • SageMath A comprehensive system for algebra, calculus, and numerical analysis. It’s widely used for symbolic computation in physics.
  • Cadabra A tool for tensor calculations, especially in general relativity. It simplifies complex tensor equations.
  • EinsteinPy A Python library for general relativity, with tools to work with Einstein’s equations and relativistic phenomena.

Other libraries

  • PyRate
    • A Python library for the computation of renormalization group equations for general, non-supersymmetric gauge theories.
  • munuSSM
    • A Python package for studying the phenomenology of the μ-from-ν Supersymmetric Standard Model (μνSSM).
  • Wilson
    • A framework for effective field theory calculations in lattice gauge theory.
  • Flavio
    • A Python library focused on flavor physics, studying mesons and baryons.
  • TorchPhysics
    • A Python library of deep learning methods for solving differential equations.
  • PyFeyn
    • A Python library for generating and visualizing Feynman diagrams, used in quantum field theory.