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arXiv · 0709.0726

Inducing the Lovelock action

Jan-Peter Boernsen·Anton E. M. van de Ven
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Abstract

We re-analyze a possible ambiguity in the application of dimensional regularization to Einstein-Gauss-Bonnet gravity, arising from the way one treats the Gauss-Bonnet term. It is demonstrated that the addition of such a term to the action gives rise to a non-minimal graviton wave operator, but does not produce new on shell divergences at one loop order in d=4. However, from a d-dimensional perspective the Gauss-Bonnet term is shown to generate new divergences in the form of the six-dimensional Euler density. The conjecture that one would next produce the eight-dimensional Euler term is shown to be false.

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Jan-Peter Boernsen, Anton E. M. van de Ven. 2007-09-05. Inducing the Lovelock action. https://arxiv.org/abs/0709.0726

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