Promotionsvortrag Physik: Constructive Quantum Field Theory and Quantum Gravity

Ankündigung des Promotionsvortrags von: Frau Anniela Melissa Rodriguez Zarate

In the last 15 years, quantum field theory and general relativity have been remarkably confirmed, earning recognition through several Nobel Prizes. Yet singular spacetimes challenge general rela-tivity: as spacetime curvature blows up, quantum effects can no longer be ignored, motivating the search for a consistent theory of quantum gravity.

My research lies precisely at the interface between gravity and quantum theory and aims to sys-tematically address quantisation ambiguities through renormalisation. In this talk, I will present the Hamiltonian renormalisation programme, a non-perturbative and background-independent frame-work that combines ideas from constructive quantum field theory, multi-resolution analysis, and wavelet theory.

The main focus of the presentation will be the application of this framework to the U(1)^3 model of (3+1)-dimensional Euclidean quantum gravity, which can be viewed as the weak-Newton-coupling limit of loop quantum gravity. I will introduce the central ideas behind the renormalisation pro-gramme, describe the construction of the renormalisation flow, and present the main results ob-tained during my doctoral research, discussing their implications for the resolution of quantisation ambiguities in loop quantum gravity.

(Vortrag auf Englisch)

Dem Vortrag schließt sich eine Diskussion von 15 Minuten an. Vortrag und Diskussion sind öffentlich. Diesen Verfahrensteilen folgt ein nicht öffentliches Rigorosum von 45 Minuten.