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- W4386295658 abstract "A software for simplification of Dirac matrix polynomials that arise in particle physics problems is implemented. Program Title: dirac CPC Library link to program files: https://doi.org/10.17632/s5w3zyhy58.1 Developer's repository link: https://github.com/skutnii/dirac Licensing provisions: MIT Programming language: C++20 Nature of problem: Particle physics computations require simplification of Dirac matrix polynomials. Non-commutativity and tensorial nature of Dirac matrices makes the task nontrivial. Complexity of the expressions grows quickly with the number of factors making manual computations beyond a few simplest cases unfeasible and highly error-prone. Existing software solutions are either proprietary and highly expensive or have poor if any support for Dirac matrix algebra. Solution method: The problem is solved by considering a representation of Dirac matrix algebra with 5×5 pseudo-matrices - matrices made of the algebra's structure constants. In this representation, multiplication of the original matrices corresponds to multiplication of pseudo-matrices and Lorentz index contraction. The problem then gets reduced to simplification of polynomials in Minkowski metric, Kronecker, and Levi-Civita symbols. Additional comments including restrictions and unusual features: The input and output have -like syntax with single-expression command line input and interactive shell modes. Scripting can be used for batched input processing and advanced formatting of the results. Example scripts demonstrate this feature and provide automated correctness tests. The software supports both rational and floating-point arithmetic." @default.
- W4386295658 created "2023-08-31" @default.
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- W4386295658 date "2024-01-01" @default.
- W4386295658 modified "2023-09-27" @default.
- W4386295658 title "Dirac: A command-line γ-matrix calculator" @default.
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- W4386295658 doi "https://doi.org/10.1016/j.cpc.2023.108901" @default.
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