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The heat kernel in Riemann normal coordinates and multiloop Feynman graphs in curved spacetime

  • Igor Carneiro,
  • Gero von Gersdorff

摘要

We present a formalism for computing arbitrary scalar multi-loop Feynman graphs in curved spacetime using the heat kernel approach. To this end, we compute the off-diagonal components of the heat kernel in Riemann normal coordinates up to second order in the curvature.