Heat Kernel Expansion for Operators in Spaces with Metric Incompatible with Connection

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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13 pages, LaTeX, no figures

Scientific paper

A method for calculation of the DWSG coefficients for operators in spaces with metric incompatible with connection is suggested based on a generalization of the pseudodifferential operators technique. By using the proposed method, the lowest DWSG coefficients are calculated for minimal operators of the second and fourth order and for nonminimal operators of the type $H^{\mu\nu} = - g^{\mu\nu} g_{\alpha\beta}\nabla^{\alpha}\nabla^{\beta} + a\nabla^{\mu}\nabla^{\nu} + X^{\mu\nu}$ in spaces with metric incompatible with connection.

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