Derivative expansion of the heat kernel in curved space

Details Derivative expansion of the heat kernel in curved space Derivative expansion of the heat kernel in curved space

2007-06-13

arxiv.org/abs/0706.1875v2

Phys.Rev.D76:044009,2007

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figures. Discussion added at the end of section II about the nature of the derivative expansion. To appear in Phy

Scientific paper

10.1103/PhysRevD.76.044009

The heat kernel in curved space-time is computed to fourth order in a strict expansion in the number of covariant derivatives. The computation is made for arbitrary non abelian gauge and scalar fields and for the Riemann connection in the coordinate sector. The expressions obtained hold for arbitrary tensor representations of the matter field. Complete results are presented for the diagonal matrix elements and for the trace of the heat kernel operator. In addition, Chan's formula is extended to curved space-time. As a byproduct, the bosonic effective action is also obtained to fourth order.

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