SU(2) graph invariants, Regge actions and polytopes

DOI10.1088/1361-6382/aaa53azbMath1386.83059arXiv1708.01727OpenAlexW2743801749MaRDI QIDQ4638952

Giorgio Sarno, Pietro Donà, Marco Fanizza, Simone Speziale

Publication date: 2 May 2018

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.01727

zbMATH Keywords

polytopeloop quantum gravitynumerical evaluationcoherent statespin foamsaddle point approximationSU(2) graph invariants

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory (83C27) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (12)

Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory ⋮ 2-vertex Lorentzian spin foam amplitudes for dipole transitions ⋮ Measuring the last burst of non-singular black holes ⋮ Entanglement entropy of physical states in hypercuboidally truncated spin foam quantum gravity ⋮ Searching for classical geometries in spin foam amplitudes: a numerical method ⋮ Hopf link volume simplicity constraints in spin foam models ⋮ Twisted geometries coherent states for loop quantum gravity ⋮ A high-performance code for EPRL spin foam amplitudes ⋮ Poincaré–Plebański formulation of GR and dual simplicity constraints ⋮ Asymptotics of \(\mathrm{SL}(2,\mathbb{C})\) coherent invariant tensors ⋮ The degrees of freedom of area Regge calculus: dynamics, non-metricity, and broken diffeomorphisms ⋮ Infrared divergences in the EPRL-FK spin foam model

Uses Software

• WIGXJPF

Cites Work

• Unnamed Item
• Four-dimensional quantum gravity with a cosmological constant from three-dimensional holomorphic blocks
• The symplectic geometry of polygons in Euclidean space
• \(6j\) symbols for \(u_q(\mathfrak{sl}_2)\) and non-Euclidean tetrahedra
• LQG vertex with finite Immirzi parameter
• Towards the graviton from spinfoams: the complete perturbative expansion of the 3d toy model
• Holomorphic factorization for a quantum tetrahedron
• The asymptotics of an amplitude for the 4-simplex
• Diffeomorphisms and spin foam models
• Deformed spinor networks for loop gravity: towards hyperbolic twisted geometries
• The spin-foam approach to quantum gravity
• TOPOLOGICAL LATTICE MODELS IN FOUR DIMENSIONS
• Semiclassical limits of extended Racah coefficients
• Fast and Accurate Evaluation of Wigner 3$j$, 6$j$, and 9$j$ Symbols Using Prime Factorization and Multiword Integer Arithmetic
• Asymptotics of spinfoam amplitude on simplicial manifold: Lorentzian theory
• Spinor representation for loop quantum gravity
• Discretization independence implies non-locality in 4D discrete quantum gravity
• Boosting Wigner’s nj-symbols
• Loop-Quantum-Gravity Vertex Amplitude
• Semiclassical mechanics of the Wigner 6j-symbol
• Asymptotic analysis of the EPRL model with timelike tetrahedra
• EPRL/FK asymptotics and the flatness problem
• Asymptotics of Wigner 3nj-symbols with small and large angular momenta: an elementary method
• A note on the secondary simplicity constraints in loop quantum gravity
• A new spin foam model for 4D gravity
• Spin-foams for all loop quantum gravity
• Asymptotics of the Wigner 9 j -symbol
• QUANTUM GRAVITY ASYMPTOTICS FROM THE SU(2) 15j-SYMBOL
• Asymptotic analysis of the Engle–Pereira–Rovelli–Livine four-simplex amplitude
• Quantum geometry from phase space reduction
• Lorentzian spin foam amplitudes: graphical calculus and asymptotics
• Asymptotics of relativistic spin networks
• An efficient algorithm for the Riemannian 10 j symbols
• The sub-leading asymptotic behaviour of area correlations in the Barrett–Crane model
• Phase space descriptions for simplicial 4D geometries
• Coherent states, 6j symbols and properties of the next to leading order asymptotic expansions

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