New Algorithm for Tensor Calculation in Field Theories

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 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.

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

References in corpus (2)

• Geometric Classification of Conformal Anomalies in Arbitrary Dimensions
• Trace Anomalies and Cocycles of Weyl and Diffeomorphisms Groups

Cited by in corpus (2)

• Weyl Anomaly in Higher Dimensions and Feynman Rules in Coordinate Space
• Weak Field Expansion of Gravity: Graphs, Matrices and Topology