Ten questions on Group Field Theory (and their tentative answers)

Abstract

We provide a short and non-technical summary of our current knowledge and some possible perspectives on the group field theory formalism for quantum gravity, in the form of a (partial) FAQ (with answers). Some of the questions and answers relate to aspects of the formalism that concern loop quantum gravity. This summary also aims at giving a brief, rough guide to the recent literature on group field theory (and tensor models).

10 pages; contribution to the proceedings of the Loops'11 conference (CSIC, Madrid, Spain, 23-28 May 2011); to be published by Journal of Physics: Conference Series (JPCS)

References in corpus (12)

• Group field theory with non-commutative metric variables
• The 1/N expansion of colored tensor models
• Group field theory and simplicial gravity path integrals: A model for Holst-Plebanski gravity
• Group field theory renormalization - the 3d case: power counting of divergences
• Lost in Translation: Topological Singularities in Group Field Theory
• 3d Spinfoam Quantum Gravity: Matter as a Phase of the Group Field Theory
• Quantum Corrections in the Group Field Theory Formulation of the EPRL/FK Models
• Towards classical geometrodynamics from Group Field Theory hydrodynamics
• A quantum field theory of simplicial geometry and the emergence of spacetime
• A Renormalizable 4-Dimensional Tensor Field Theory
• Gravity as an emergent phenomenon: a GFT perspective
• On the depth of quantum space

Cited by in corpus (51)

• Homogeneous cosmologies as group field theory condensates
• Quantum Cosmology from Group Field Theory Condensates: a Review
• Functional Renormalisation Group Approach for Tensorial Group Field Theory: a Rank-3 Model
• The Tensor Track, III
• Just Renormalizable TGFT's on U(1)^d with Gauge Invariance
• Flowing in Group Field Theory Space: a Review
• The Schwinger Dyson equations and the algebra of constraints of random tensor models at all orders
• Invitation to Random Tensors
• Cosmological implications of interacting Group Field Theory models: cyclic Universe and accelerated expansion
• The Multi-Orientable Random Tensor Model, a Review
• Functional Renormalisation Group analysis of Tensorial Group Field Theories on ${\mathbb{R}}^d$
• Group field theories for all loop quantum gravity
• Quantization maps, algebra representation and non-commutative Fourier transform for Lie groups
• Functional Renormalization Group Approach for Tensorial Group Field Theory: A Rank-6 Model with Closure Constraint
• Quantum cosmology from quantum gravity condensates: cosmological variables and lattice-refined dynamics
• Functional Renormalisation Group analysis of a Tensorial Group Field Theory on ${\mathbb{R}}^3$
• Cosmological perturbations from full quantum gravity
• Asymptotic safety in three-dimensional SU(2) Group Field Theory: evidence in the local potential approximation
• Quantum gravity and gravitational-wave astronomy
• Emergence of a low spin phase in group field theory condensates
• Renormalizable Group Field Theory beyond melonic diagrams: an example in rank four
• Generalized quantum gravity condensates for homogeneous geometries and cosmology
• Renormalization of an Abelian Tensor Group Field Theory: Solution at Leading Order
• Group field theory and its cosmology in a matter reference frame
• Uniqueness of canonical tensor model with local time
• Impact of nonlinear effective interactions on GFT quantum gravity condensates
• Relational evolution of effectively interacting GFT quantum gravity condensates
• An elementary introduction to loop quantum gravity
• Group Field theory and Tensor Networks: towards a Ryu-Takayanagi formula in full quantum gravity
• Inhomogeneous universe from group field theory condensate
• Ultraviolet-complete quantum field theories with fractional operators
• Dynamics of anisotropies close to a cosmological bounce in quantum gravity
• Identifying cosmological perturbations in group field theory condensates
• Symmetry breaking in tensor models
• Fisher Metric, Geometric Entanglement and Spin Networks
• Can we see quantum gravity? Photons in the asymptotic-safety scenario
• Group Field Theory and Holographic Tensor Networks: Dynamical Corrections to the Ryu-Takayanagi formula
• Ward-constrained melonic renormalization group flow for the rank-four ${\varphi }^6$ tensorial group field theory
• Phase Transition in Tensor Models
• Ryu-Takayanagi Formula for Symmetric Random Tensor Networks
• Renormalization of a tensorial field theory on the homogeneous space SU(2)/U(1)
• Flowing in discrete gravity models and Ward identities: A review
• Path integral and conformal instability in nonlocal quantum gravity
• Stochastic dynamics for Group Field Theories
• Quantum gravity and gravitational-wave astronomy
• Hilbert space formalisms for group field theory
• Aspects of quantum gravity
• Weighting bubbles in group field theory
• Closer look at cosmological consequences of interacting group field theory
• Anomalous higher order Ward identities in tensorial group field theories without closure constraint
• Cosmological implications of the hydrodynamical phase of group field theory