Zakopane lectures on loop gravity

Abstract

These are introductory lectures on loop quantum gravity. The theory is presented in self-contained form, without emphasis on its derivation from classical general relativity. Dynamics is given in the covariant form. Some applications are described.

This is a largely restructured and expanded version of the lectures. In particular, I have added a substantial introductory and orientation Section, a discussion on the justification for the vertex expansion, and more details on the applications. Comments and corrections always very welcome. 34 pages. Many figures

Cited by in corpus (53)

• The Spin Foam Approach to Quantum Gravity
• Black hole fireworks: quantum-gravity effects outside the horizon spark black to white hole tunneling
• The pre-inflationary dynamics of loop quantum cosmology: Confronting quantum gravity with observations
• Planck stars
• Space from Hilbert Space: Recovering Geometry from Bulk Entanglement
• An Extension of the Quantum Theory of Cosmological Perturbations to the Planck Era
• Quantum Cosmology from Group Field Theory Condensates: a Review
• Decorated tensor network renormalization for lattice gauge theories and spin foam models
• SL(2,C) Chern-Simons Theory, a non-Planar Graph Operator, and 4D Loop Quantum Gravity with a Cosmological Constant: Semiclassical Geometry
• Functional Renormalisation Group analysis of Tensorial Group Field Theories on ${\mathbb{R}}^d$
• Towards a double-scaling limit for tensor models: probing sub-dominant orders
• Hamiltonian operator for loop quantum gravity coupled to a scalar field
• Emergence of a low spin phase in group field theory condensates
• Spacetime thermodynamics without hidden degrees of freedom
• Generalized quantum gravity condensates for homogeneous geometries and cosmology
• A proposed proper EPRL vertex amplitude
• In quantum gravity, summing is refining
• Renormalization of an Abelian Tensor Group Field Theory: Solution at Leading Order
• Bohr-Sommerfeld Quantization of Space
• Many-nodes/many-links spinfoam: the homogeneous and isotropic case
• Twistor Networks and Covariant Twisted Geometries
• A curvature operator for LQG
• Loop Quantum Gravity
• Path Integral Representation of Lorentzian Spinfoam Model, Asymptotics, and Simplicial Geometries
• Poincare 2-group and quantum gravity
• Pachner moves in a 4d Riemannian holomorphic Spin Foam model
• Deformations of Polyhedra and Polygons by the Unitary Group
• Classical Setting and Effective Dynamics for Spinfoam Cosmology
• Impact of nonlinear effective interactions on GFT quantum gravity condensates
• Relational evolution of effectively interacting GFT quantum gravity condensates
• On the Implementation of the Canonical Quantum Simplicity Constraint
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Dynamics of anisotropies close to a cosmological bounce in quantum gravity
• Perturbing a quantum gravity condensate
• Learning about Quantum Gravity with a Couple of Nodes
• Bulk amplitude and degree of divergence in 4d spin foams
• A critical look at strings
• Numerical analysis of the self-energy in covariant Loop Quantum Gravity
• Hamiltonian spinfoam gravity
• Pauli-Fierz mass term in modified Plebanski gravity
• Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom
• Coupled intertwiner dynamics: A toy model for coupling matter to spin foam models
• Two-Point Functions on Deformed Spacetime
• The Barrett-Crane model: asymptotic measure factor
• Cosine problem in EPRL/FK spinfoam model
• Gauge symmetry of the 3BF theory for a generic Lie 3-group
• First-order quantum-gravitational correction to Friedmannian cosmology from covariant, holomorphic spinfoam cosmology
• Causal structure in spin-foams
• A simpler way of imposing simplicity constraints
• Studying the EPRL spinfoam self-energy
• A Fock space structure for the diffeomorphism invariant Hilbert space of loop quantum gravity and its applications
• The 3BF theory as a TQFT
• Group field theories generating polyhedral complexes