Evaluation of the heat kernel in Riemann - Cartan space using the covariant Taylor expansion method

Details Evaluation of the heat kernel in Riemann - Cartan space using the covariant Taylor expansion method Evaluation of the heat kernel in Riemann - Cartan space using the covariant Taylor expansion method

Oct 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cqgra..14.2853y&link_type=abstract

Classical and Quantum Gravity, Volume 14, Issue 10, pp. 2853-2868 (1997).

Computer Science

7

Scientific paper

In order to evaluate the asymptotic expansion coefficients of the heat kernel associated with a fermion of spin 0264-9381/14/10/012/img1 in an arbitrary dimensional Riemann - Cartan spacetime, the limit of application of the covariant Taylor expansion method (Avramidi I G 1989 Teor. Mat. Fiz. 79 219) to the heat kernel is extended. The first three coefficients in the approach are manifestly computed. In the case of a massless fermion of spin 0264-9381/14/10/012/img1 coupled to a vector gauge field in six-dimensional Riemann - Cartan spacetime, the third coefficient which is intimately connected with some anomalies is expressed in the form of arranging it with respect to an irreducible 0264-9381/14/10/012/img3-matrix basis.

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