Evaluation of the Third Heat Kernel Coefficient in a Dirac Field Theory by Mathenatica

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概要

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• 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.

• 岐阜市立女子短期大学の論文

著者

• 瀬尾 幸一

  岐阜市立女子短期大学国際文化学科

関連論文

• Evaluation of Trace Anomalies in 6 Space-Time Dimensions by Mathematica
• Evaluation of the Third Heat Kernel Coefficient in a Dirac Field Theory by Mathenatica

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