Computational method evaluates heat kernel coefficients in a Dirac field under gravitational influence, indicating discrepancies with previous results.
A computational method by Mathematica developed by the author is extended to evaluate the third coefficient of the heat kernel for the Dirac field in the gravitational background field. Eight-order derivative of the geodesic parallel displacement biscalar and sixth-order derivative of the geodesic bispinor in the coincidence limit are evaluated and their indices are contracted. The result of the third coefficient partly agrees with Gilkey's one, but there remains some discrepancy. The reason is not traceable at present.
No takes yet. Share an insight, caveat, or question.
セオ et al. (2003) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: