New Algorithm for Tensor Calculation in Field Theories

Details New Algorithm for Tensor Calculation in Field Theories New Algorithm for Tensor Calculation in Field Theories

1996-08-31

arxiv.org/abs/hep-th/9609014v2

Int.J.Mod.Phys. C9 (1998) 243-264

Physics

High Energy Physics

High Energy Physics - Theory

27 pages, 17 figures, epsbox.sty included, to appear in Int.Jour.Mod.Phys.C

Scientific paper

10.1142/S0129183198000182

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 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 as $R_{\mn\ls}R^{\mn\ls}$ are given. Application to Weyl anomaly calculation is commented.

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