New Algorithm for Tensor Calculation in Field Theories

Shoichi Ichinose ()
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Shoichi Ichinose: Department of Physics, University of Shizuoka, Yada 52-1, Shizuoka 422-8526, Japan

International Journal of Modern Physics C (IJMPC), 1998, vol. 09, issue 02, 243-264

Abstract: Tensor calculation of suffix-contraction is carried out by a C-program. Tensors are represented graphically, and the algorithm makes use of the topology of the graphs. Classical and quantum gravity, in the weak-field perturbative approach, is a special interest. Examples of the leading order calculation of some general invariants such asRμνλσRμνλσare given. Application to Weyl anomaly calculation is also discussed.

Keywords: Computer Algebra; General Relativity; Tensor Calculation; Suffix Contraction; Graphical Representation; Topology of Graph (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1142/S0129183198000182

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