@article{oai:gifu-cwc.repo.nii.ac.jp:00000405, author = {瀬尾, 幸市 and Seo, kouichi}, journal = {岐阜市立女子短期大学研究紀要, Bulletin of Gifu City Women's College}, month = {}, note = {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., 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.}, pages = {73--84}, title = {Evaluation of the Third Heat Kernel Coefficient in a Dirac Field Theory by Mathematica}, volume = {53}, year = {2003}, yomi = {セオ, コウイチ} }