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Asymptotic behaviours of the heat kernel in covariant perturbation theory

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arxiv gr-qc/9404063 v1 pith:SPLXSV5J submitted 1994-04-29 gr-qc

A.O.Barvinsky , Yu.V.Gusev , G.A.Vilkovisky , V.V.Zhytnikov This is my paper · ORCID
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keywords heatkernelactionasymptoticbehaviourscurvatureeffectivelate-time
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abstract

The trace of the heat kernel is expanded in a basis of nonlocal curvature invariants of $N$th order. The coefficients of this expansion (the nonlocal form factors) are calculated to third order in the curvature inclusive. The early-time and late-time asymptotic behaviours of the trace of the heat kernel are presented with this accuracy. The late-time behaviour gives the criterion of analyticity of the effective action in quantum field theory. The latter point is exemplified by deriving the effective action in two dimensions.

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Cited by 2 Pith papers

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  1. Unveiling horizons in quantum critical collapse

    gr-qc 2025-09 unverdicted novelty 7.0 of 10

    Semiclassical quantum corrections in critical collapse yield a finite mass gap and transition from classical Type II to quantum Type I behavior, providing a quantum enforcement of weak cosmic censorship.

  2. The Speed of Gravity

    hep-th 2019-09 conditional novelty 6.0 of 10

    In the standard effective field theory of gravity, gravitational waves on cosmological backgrounds propagate at a speed differing from unity, and analyticity arguments favor superluminal speed relative to matter.

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