Spinfoams and high performance computing
arXiv:2212.14396 · doi:10.1007/978-981-19-3079-9_100-1
Abstract
Numerical methods are a powerful tool for doing calculations in spinfoam theory. We review the major frameworks available, their definition, and various applications. We start from , the state-of-the-art library to efficiently compute EPRL spin foam amplitudes based on the booster decomposition. We also review two alternative approaches based on the integration representation of the spinfoam amplitude: Firstly, the numerical computations of the complex critical points discover the curved geometries from the spinfoam amplitude and provides important evidence of resolving the flatness problem in the spinfoam theory. Lastly, we review the numerical estimation of observable expectation values based on the Lefschetz thimble and Markov-Chain Monte Carlo method, with the EPRL spinfoam propagator as an example.
arXiv comment33 pages, 11 figures. Invited chapter for the book "Handbook of Quantum Gravity" (Eds. C. Bambi, L. Modesto and I.L. Shapiro, Springer Singapore, expected in 2023)
References in corpus (47)
- LQG vertex with finite Immirzi parameter
- A new spinfoam vertex for quantum gravity
- A New Spin Foam Model for 4d Gravity
- High density QCD on a Lefschetz thimble?
- Lorentzian spin foam amplitudes: graphical calculus and asymptotics
- On the semiclassical limit of 4d spin foam models
- Graviton propagator from background-independent quantum gravity
- LQG propagator from the new spin foams
- A Monte Carlo algorithm for simulating fermions on Lefschetz thimbles
- Numerical evidence for a phase transition in 4d spin foam quantum gravity
- Spin foam models for quantum gravity from lattice path integrals
- Self-Energy of the Lorentzian EPRL-FK Spin Foam Model of Quantum Gravity
- Fast and accurate evaluation of Wigner 3j, 6j, and 9j symbols using prime factorisation and multi-word integer arithmetic
- Effective Spin Foam Models for Four-Dimensional Quantum Gravity
- Effective Spin Foam Models for Lorentzian Quantum Gravity
- Lorentzian spinfoam propagator
- Face amplitude of spinfoam quantum gravity
- Asymptotics of Spinfoam Amplitude on Simplicial Manifold: Lorentzian Theory
- Hypercuboidal renormalization in spin foam quantum gravity
- Holonomy spin foam models: Asymptotic geometry of the partition function
- Regularization and finiteness of the Lorentzian LQG vertices
- Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory
- Four-dimensional Quantum Gravity with a Cosmological Constant from Three-dimensional Holomorphic Blocks
- Boosting Wigner's nj-symbols
- Complex critical points and curved geometries in four-dimensional Lorentzian spinfoam quantum gravity
- A high-performance code for EPRL spin foam amplitudes
- Spinfoam on Lefschetz Thimble: Markov Chain Monte-Carlo Computation of Lorentzian Spinfoam Propagator
- Semiclassical Analysis of Spinfoam Model with a Small Barbero-Immirzi Parameter
- On Spinfoam Models in Large Spin Regime
- Discrete gravity dynamics from effective spin foams
- Asymptotics of lowest unitary SL(2,C) invariants on graphs
- Path Integral Representation of Lorentzian Spinfoam Model, Asymptotics, and Simplicial Geometries
- Asymptotic analysis of spin foam amplitude with timelike triangles
- Asymptotic analysis of the EPRL model with timelike tetrahedra
- Einstein Equation from Covariant Loop Quantum Gravity in Semiclassical Continuum Limit
- Worldvolume approach to the tempered Lefschetz thimble method
- How-To compute EPRL spin foam amplitudes
- Addendum: EPRL/FK Asymptotics and the Flatness Problem
- A complex path around the sign problem
- 4d Quantum Geometry from 3d Supersymmetric Gauge Theory and Holomorphic Block
- Primordial fluctuations from quantum gravity
- Covariant Loop Quantum Gravity, Low Energy Perturbation Theory, and Einstein Gravity with High Curvature UV Corrections
- Numerical computations of next-to-leading order corrections in spinfoam large- asymptotics
- Infrared divergences in the EPRL-FK Spin Foam model
- Analytic Continuation of Spin foam Models
- Reweighting Lefschetz Thimbles
- Numerical analysis of the self-energy in covariant Loop Quantum Gravity
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