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arxiv: hep-ph/9506237 · v1 · pith:Z5FY3VCRnew · submitted 1995-06-05 · ✦ hep-ph

Calculation of Heat-Kernel Coefficients and Usage of Computer Algebra

classification ✦ hep-ph
keywords coefficientsalgebrabeencalculationcomputerexpressionsheat-kernelusage
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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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  1. Background Fields Meet the Heat Kernel: Gauge Invariance and RGEs without diagrams

    hep-th 2026-04 unverdicted novelty 6.0

    A heat kernel plus background field method computes gauge-invariant beta functions and anomalous dimensions without diagrams by treating open and closed derivatives consistently.