Software for symbolic calculations in high energy physics

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SUMMARY

This discussion focuses on software for symbolic calculations in high energy physics, specifically for handling gamma and sigma matrices, covariant differentiation, and traces. Users have reported difficulties with Maple for convolutions over various indices, prompting the search for alternative software solutions. Recommendations include Mathematica, particularly the Tracer package for "Diracology" and dimensional regularization, as well as FeynCalc, a newer package designed for similar tasks.

PREREQUISITES
  • Understanding of gamma and sigma matrices in high energy physics
  • Familiarity with covariant differentiation and trace operations
  • Basic knowledge of symbolic computation software, particularly Mathematica
  • Awareness of dimensional regularization techniques in quantum field theory
NEXT STEPS
  • Explore the capabilities of the Tracer package for Mathematica in high energy physics calculations
  • Learn how to use FeynCalc for symbolic computations related to particle physics
  • Investigate alternative software options for symbolic calculations, such as Maxima or SymPy
  • Research the implementation of the 't Hooft prescription in dimensional regularization
USEFUL FOR

This discussion is beneficial for theoretical physicists, researchers in high energy physics, and anyone involved in symbolic computation for particle physics, particularly those seeking efficient tools for complex calculations involving gamma matrices and covariant differentiation.

illuminates
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I interest the software, which understands gamma and sigma matrices, that the convolution can go over Lorentz indexs, and over group indexs, which understands what is covariant differentiation, trace.
I tried to use maple, but work goes with difficulty. Although I write convolution over different indexs, maple works with such expressions with difficulty. Maybe is there another program which easy understands what I want from one? (Preferably with the tex syntax and a support forum. But I listen to any recommendations)
 
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I only know mathematica. There are several packages for this kind of things. A very simple one is Tracer, which handles "Diracology", including the rules for dimensional regularization (with the 't Hooft-prescription for the behavior of the "chiral" ##\gamma_5## matrix to implement the correct structure of the chiral anomaly in the Standard model (axial U(1) symmetry broken, vector U(1) intact as it must be in QCD)

http://library.wolfram.com/infocenter/MathSource/2987/

A newer package is

FeynCalc
https://feyncalc.github.io/
 

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