An Irreducible Form for the Asymptotic Expansion Coefficients of the Heat Kernel of Fermions

Computer Science

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Scientific paper

We consider the asymptotic coefficients of the heat kernel for a fermion of spin (1)/(2) interacting with all types of non-abelian boson fields, i.e. totally antisymmetric tensor fields, in even dimensional Riemannian space. The coefficients are decomposed by irreducible matrices which are the totally antisymmetric product of the γ-matrices. The form of the coefficients given in our method is useful to evaluate some fermionic anomalies.

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