Calculation of Heat-Kernel Coefficients and Usage of Computer Algebra

A. A. Bel'kov; A. V. Lanyov; A. Schaale

doi:10.1016/0010-4655(96)00031-8

Calculation of Heat-Kernel Coefficients and Usage of Computer Algebra

High Energy Physics - Phenomenology 2011-04-15 v1

Authors: A. A. Bel'kov , A. V. Lanyov , A. Schaale

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Abstract

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.

Keywords

heat-kernel coefficients DeWitt algorithm computer algebra explicit form memory optimization

Cite

@article{arxiv.hep-ph/9506237,
  title  = {Calculation of Heat-Kernel Coefficients and Usage of Computer Algebra},
  author = {A. A. Bel'kov and A. V. Lanyov and A. Schaale},
  journal= {arXiv preprint arXiv:hep-ph/9506237},
  year   = {2011}
}

Comments

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

Calculation of Heat-Kernel Coefficients and Usage of Computer Algebra

Abstract

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