Fast algorithm for calculation of Dirac's gamma-matrices traces

Author:

Ilyin V. A.,Kryukov A. P.,Rodioniov A. Y.,Taranov A. Y.

Abstract

This paper describes a fast algorithm for calculation of traces of Dirac's gamma-matrices proposed by Kennedy and Cvitanovich. Comparison with standard REDUCE calculations shows that Kennedy-Cvitanovich algorithm is preferable when space-time dimension exceeds 4.

Publisher

Association for Computing Machinery (ACM)

Reference10 articles.

1. {Hea87} Hearn A. C. The REDUCE user's manual. Version 3.3 The Rand Publication CP78(Rev. 7/87) USA. {Hea87} Hearn A. C. The REDUCE user's manual. Version 3.3 The Rand Publication CP78(Rev. 7/87) USA.

2. Regularization and renormalization of gauge fields

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1. Automating renormalization of quantum field theories;Proceedings of the 2007 international workshop on Symbolic-numeric computation;2007-07-25

2. TRACER version 1.1;Computer Physics Communications;1993-02

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