PIRSA:26030086

Introduction to Loop Quantum Gravity

Kogios, A. (2026). Introduction to Loop Quantum Gravity. Perimeter Institute. https://pirsa.org/26030086

Kogios, Athanasios. Introduction to Loop Quantum Gravity. Perimeter Institute, Mar. 16, 2026, https://pirsa.org/26030086 

          @misc{ pirsa_PIRSA:26030086,
            doi = {10.48660/26030086},
            url = {https://pirsa.org/26030086},
            author = {Kogios, Athanasios},
            keywords = {Other},
            language = {en},
            title = {Introduction to Loop Quantum Gravity},
            publisher = {Perimeter Institute},
            year = {2026},
            month = {mar},
            note = {PIRSA:26030086 see, \url{https://pirsa.org}}
          }

Athanasios Kogios Perimeter Institute for Theoretical Physics

Talk numberPIRSA:26030086
DOI10.48660/26030086
Collection
Talk Type Scientific Series
Subject

Abstract

As part of deepening my background in Loop Quantum Gravity, I will give a brief introduction to the canonical formulation of the theory. I will outline the motivation for choosing appropriate classical variables—specifically the Ashtekar–Barbero connection and densitized triad—and explain how these variables enable a non‑perturbative, background‑independent quantization. I will then sketch the structure of the resulting quantum theory following the Dirac's quantization scheme, focusing on the implementation of the Gauss, spatial diffeomorphism, and Hamiltonian constraints. Finally, I will discuss how the physical states that emerge from this framework are naturally represented by abstract spin networks, highlighting their geometric interpretation and their role as the kinematical foundation of Loop Quantum Gravity. Time permitting, I will also give an overview of the current status of the canonical program and some of the main open problems in the field.