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Calculation of Heat-Kernel Coefficients and Usage of Computer Algebra
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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.
Forward citations
Cited by 2 Pith papers
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Background Fields Meet the Heat Kernel: Gauge Invariance and RGEs without diagrams
A heat kernel plus background field method computes gauge-invariant beta functions and anomalous dimensions without diagrams by treating open and closed derivatives consistently.
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Higher-dimensional operators and Polyakov loop in hot Scalar QED from the heat kernel
Computes dimension-six operators in finite-temperature massive scalar QED via heat kernel methods and evaluates their combined effect with the Polyakov loop on first-order phase transition thermodynamics.
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