Séminaire de Physique Théorique
Information geometry and the quantum effective actionPeter Millington (The University of Manchester, UK)
Tuesday 20 February 2024 11:00 - Salle des séminaires - Salle 1180, bâtiment E2
Résumé :
The quantum effective action is a powerful tool in quantum field theory. It can be used to study continuous symmetry properties, derive quantum-corrected equations of motion for n-point correlation functions, obtain first-principles transport equations, and study renormalization group evolution. In this talk, based on https://arxiv.org/abs/2311.17199, we will take advantage of the definition of the two-particle-irreducible quantum effective action in terms of Legendre transforms of the Schwinger functional to construct an associated Hessian manifold. This approach strongly parallels that of information geometry and provides a geometric interpretation of the effective action and its properties. We will show that this construction allows to recast renormalization group flows in terms of geodesics on the Hessian manifold.
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