New Proposal for Renormalisation Group Equations on Curved Spacetimes

Explore a groundbreaking lecture on renormalisation group equations for curved spacetimes. Delve into recent research findings from a collaboration with Edoardo d'Angelo, Nicolo Drago, and Nicola Pinamonti. Examine the formulation of a flow equation similar to the Wetterich equation, applicable to arbitrary globally hyperbolic spacetimes and field theories with normally hyperbolic equations of motion. Discover the advantage of this equation's formulation in an arbitrary Hadamard state, overcoming the obstacle of non-existent unique vacuums. Journey through key concepts including local functions, variation, Green functions, positive conditions, interacting fields, global time functions, and the Functional Renormalization Group (FRG). Gain insights into the cutting-edge developments in perturbative algebraic quantum field theory and its applications in curved spacetime scenarios.

Introduction
Presentation
Outline
Local functions
Variation
Green functions
Positive conditions
Defining interacting fields
Formula for interacting fields
Global time function
FRG
Bottom line