PIRSA:24050097

A Novel Perspective on the Continuum Limit in Quantum Gravity

Schander, S. (2024). A Novel Perspective on the Continuum Limit in Quantum Gravity. Perimeter Institute. https://pirsa.org/24050097

Schander, Susanne. A Novel Perspective on the Continuum Limit in Quantum Gravity. Perimeter Institute, May. 30, 2024, https://pirsa.org/24050097 

          @misc{ pirsa_PIRSA:24050097,
            doi = {10.48660/24050097},
            url = {https://pirsa.org/24050097},
            author = {Schander, Susanne},
            keywords = {Quantum Gravity},
            language = {en},
            title = {A Novel Perspective on the Continuum Limit in Quantum Gravity},
            publisher = {Perimeter Institute},
            year = {2024},
            month = {may},
            note = {PIRSA:24050097 see, \url{https://pirsa.org}}
          }

Susanne Schander Perimeter Institute for Theoretical Physics

DOI 10.48660/24050097
Collection
Talk Type Scientific Series
Subject

Abstract

Some of the most fundamental challenges in quantum gravity involve determining how to take the continuum limit of the underlying regularized theory and how to preserve the causal structure of space-time. Several approaches to quantum gravity attempt to address these questions, but the technical challenges are substantial.

In this talk, we present a novel approach to a lattice-regularized theory of quantum gravity, using techniques from standard lattice quantum field theories to overcome these challenges. Our approach is inspired by quantum geometrodynamics, the earliest attempt at quantizing gravity. While the original approach suffered from the usual shortcomings pertaining to the multiplication of distributions and consequently failed, we propose a novel lattice regularization that is especially well suited for studying the continuum limit. First, we examine the lattice corrections to the theory and quantize these lattice theories in a manner that ensures the manifest causal structure of space-time. Next, we discuss the constructions involved in obtaining a well-defined continuum limit and explain how our approach can overcome some conceptually unappealing aspects.

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