Evaluation of the heat kernel in Riemann - Cartan space

Physics

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Scientific paper

A method for calculating the asymptotic expansion coefficients of the heat kernel associated with a fermion of spin 0264-9381/13/9/008/img1 in an arbitrary-dimensional Riemann - Cartan spacetime is presented. It is shown that the first two coefficients in our approach agree with those given by using the proper time and the normal coordinate methods. In a four-dimensional massless fermion model, the explicit expression of the coefficients is given in the form of separating torsions from the curvature and the covariant differentiation.

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