Quantum Fields - from the Hubble to the Planck Scale

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Software:

Differential Geometry:

Commercial programs like Mathematica, Maple,... either include or offer extensions to perform tensor algebra and analysis. As alternative, I list two simple python programs:

• example for a flat FLRW space-time using differentialGeometry.py; for python 2.
• example for a flat FLRW space-time using differentialGeometry.py; for python 3.

A very versatile package is Cadabra, intended to do symbolic calculations in "field theory". It knows both about differential geometry and stuff like gamma matrices, Grassmann numbers, or Fierz identities.

High-Energy Physics:

Various packages are discussed in Ask et al. arXiv:1209.0297. I keep here an up-dated and commented list of links:

• Extracting Feynman rules from Lagrangians:
  • FeynRules
  • LanHEP
• Calculation of matrix elements, scattering and decay probailities (on parton level):
• MadGraph
• CalcHEP
• Event generator of scattering or decay processes including parton showering and hadronisation:
• Pythia 8 using the Lund string model,
• Herwig++
• Sherpa
• Spectra calculator, RGE evolution:
  • Spheno,
  • Sarah,
  • Softsusy,

Contact.

If you found errors or have suggestions, please send me an email