Calculating Feynman diagrams in 4 and D dimensions -- from Wolfram Library Archive

Title

Calculating Feynman diagrams in 4 and D dimensions

Author

Thomas Hahn

Organization:

Max-Planck-Institute for Physics (Werner-Heisenberg-Institute)

URL:	http://wwwth.mppmu.mpg.de/members/hahn/

Old MathSource #

0209-629

Revision date

1998-08-07

Description

FormCalc calculates and simplifies one-loop Feynman diagrams. It reads amplitudes generated with FeynArts (item 1158) and returns the results in a way well suited for further numerical (or analytical) evaluation.

Internally, FormCalc delegates the hard work (e.g. working out fermionic traces) to FORM by Jos Vermaseren. Thus FormCalc is merely a driver that threads the FeynArts amplitudes through FORM in an appropriate way. The idea is rather simple: FormCalc prepares the symbolic expressions of the diagrams in an input file for FORM, runs FORM, and retrieves the results. This interaction is transparent to the user.

FormCalc combines the speed of FORM with the powerful instruction set of Mathematica and the latter greatly facilitates further processing of the results. Owing to FORM's speed, FormCalc can process, for example, the 1000-odd one-loop diagrams of elastic W-W scattering in the Standard Model in about 10 minutes on an ordinary Pentium PC.

Subject

Science > Physics > Quantum Physics

Keywords

Perturbative calculations, Quantum field theory, Dimensional Regularization, Dimensional Reduction, Constrained Differential Renormalization

Related items

	Automatic loop calculations with FeynArts, FormCalc, and LoopTools [in Articles]
	Generating and Calculating One-loop Feynman Diagrams with FeynArts, FormCalc, and LoopTools [in Articles]
	Generating Feynman Diagrams and Amplitudes with FeynArts 3 [in Articles]
	Generating Feynman Graphs and Amplitudes with FeynArts [in MathSource: Packages and Programs]

Downloads

FCLT12Guide.ps.gz (109.4 KB) - FormCalc manual

FormCalc12.tar.gz (149.6 KB) - FormCalc package

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