An elementary introduction to loop quantum gravity

Abstract

An introduction to loop quantum gravity is given, focussing on the fundamental aspects of the theory, different approaches to the dynamics, as well as possible future directions. It is structured in five lectures, including exercises, and requires only little prior knowledge of quantum mechanics, gauge theory, and general relativity. The main aim of these lectures is to provide non-experts with an elementary understanding of loop quantum gravity and to evaluate the state of the art of the field. Technical details are avoided wherever possible.

48+14 pages, 8 figures

References in corpus (30)

• Quantum Nature of the Big Bang: Improved dynamics
• LQG vertex with finite Immirzi parameter
• Black hole evaporation: A paradigm
• Polyhedra in loop quantum gravity
• Algebraic Quantum Gravity (AQG) I. Conceptual Setup
• Spherically Symmetric Quantum Geometry: States and Basic Operators
• Gravity quantized
• The complete LQG propagator: I. Difficulties with the Barrett-Crane vertex
• The LHC String Hunter's Companion
• Large scale effective theory for cosmological bounces
• Fast Radio Bursts and White Hole Signals
• The complete LQG propagator: II. Asymptotic behavior of the vertex
• Lorentz covariance of loop quantum gravity
• Entanglement Entropy in Loop Quantum Gravity
• Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum gravity
• Stable cosmological models driven by a free quantum scalar field
• Exact solutions for Big Bounce in loop quantum cosmology
• Relating loop quantum cosmology to loop quantum gravity: Symmetric sectors and embeddings
• Hamiltonian operator for loop quantum gravity coupled to a scalar field
• Reconstructing AdS/CFT
• Consistent Probabilities in Wheeler-DeWitt Quantum Cosmology
• Renormalization of an Abelian Tensor Group Field Theory: Solution at Leading Order
• Towards Loop Quantum Gravity without the time gauge
• A quantum reduction to Bianchi I models in loop quantum gravity
• A symmetric scalar constraint for loop quantum gravity
• Wheeler-DeWitt quantization and singularities
• Loop Quantum Cosmology from Loop Quantum Gravity
• Geometric asymptotics for spin foam lattice gauge gravity on arbitrary triangulations
• A quantum reduction to spherical symmetry in loop quantum gravity
• On background-independent renormalization of spin foam models

Cited by in corpus (13)

• Constraining the loop quantum gravity parameter space from phenomenology
• Thermal representations in group field theory: squeezed vacua and quantum gravity condensates
• Scalar curvature operator for models of loop quantum gravity on a cubical graph
• Towards quantum gravity with neural networks: Solving the quantum Hamilton constraint of U(1) BF theory
• Introduction to SU(2) recoupling theory and graphical methods for loop quantum gravity
• Graph coherent states for loop quantum gravity
• Generalized Interacting Dark Energy Model and Loop Quantum Cosmology
• Intertwiner Entanglement Excitation and Holonomy Operator
• The Physical Relevance of the Fiducial Cell in Loop Quantum Cosmology
• Spherically-symmetric geometries in a matter reference frame as quantum gravity condensates
• On the Role of Fiducial Structures in Minisuperspace Reduction and Quantum Fluctuations in LQC
• Local and Nonlocal Thermal Field Theory
• A Loop Quantum Gravity Inspired Action for the Bosonic String and Emergent Dimensions at Large Scales