Calculation of Heat-Kernel Coefficients and Usage of Computer Algebra

Physics – High Energy Physics – High Energy Physics - Phenomenology

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12 pages, LaTeX, no figures. Extended version of contribution to AIHENP'95, Pisa, April 3-8, 1995

Scientific paper

10.1016/0010-4655(96)00031-8

The calculation of heat-kernel coefficients with the classical DeWitt algorithm has been discussed. We present the explicit form of the coefficients up to $h_5$ in the general case and up to $h_7^{min}$ for the minimal parts. The results are compared with the expressions in other papers. A method to optimize the usage of memory for working with large expressions on universal computer algebra systems has been proposed.

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