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2022

Complex Saddles and Euclidean Wormholes in the Lorentzian Path Integral

Loges, Gregory J., Shiu, Gary, Sudhir, Nidhi

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We study complex saddles of the Lorentzian path integral for 4D axion gravity and its dual description in terms of a 3-form flux, which include the Giddings-Strominger Euclidean wormhole.

Transition amplitudes are computed using the Lorentzian path integral and with the help of Picard-Lefschetz theory.
The number and nature of saddles is shown to qualitatively change in the presence of a bilocal operator that could arise, for example, as a result of considering higher-topology transitions.
We also analyze the stability of the Giddings-Strominger wormhole in the 3-form picture, where we find that it represents a perturbatively stable Euclidean saddle of the gravitational path integral.

Complex Saddles and Euclidean Wormholes in the Lorentzian Path Integral · Around

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