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Derivative expansion of the heat kernel in curved space

L. L. Salcedo

  • Departamento de Física Atómica, Molecular y Nuclear, Universidad de Granada, E-18071 Granada, Spain

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Phys. Rev. D 76, 044009 – Published 8 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.044009

Abstract

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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Phys. Rev. D 76, 044009– Published 8 August, 2007
  • Received 14 June 2007

© 2007 American Physical Society

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