Calculation of heat-kernel coefficients and usage of computer algebra

摘要

The calculation of heat-kernel coefficients with the classical De Witt algorithm has been discussed. We present the explicit form of the coefficients up to h(sub 5) in the general case and up to h(sub 7)(sup 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. 20 refs. (Atomindex citation 27:009234)