Abstract
We present a Mathematica package for the calculation of Wick contractions in quantum field theories — QCT. The package aims at automatically generating code for the calculation of physical matrix elements, suitable for numerical evaluation in a C++ program. To that end commonly used algebraic manipulations for the calculation of matrix elements in lattice QCD are implemented. Program summaryProgram Title: QCTProgram Files doi:http://dx.doi.org/10.17632/4z23nhrmfx.1Licensing provisions: GPLv3Programming language: MathematicaNature of problem: Wick contractions of matrix elements in quantum field theories and in particular in Lattice quantum chromodynamics (Lattice QCD).Solution method: The implementation is based on symbolic manipulations of noncommuting objects in Mathematica. The results can be expressed in various formats, including C++ which allows for fast implementation of correlation functions.Additional comments including restrictions and unusual features: Currently the contractions assume Grassmann valued fields. The program can visualize the contraction in the form of directed graphs.
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