The spin-foam approach to quantum gravity

A Perez - Living Reviews in Relativity, 2013 - Springer
This article reviews the present status of the spin-foam approach to the quantization of
gravity. Special attention is payed to the pedagogical presentation of the recently-introduced …

Zakopane lectures on loop gravity

C Rovelli - arXiv preprint arXiv:1102.3660, 2011 - arxiv.org
arXiv:1102.3660v5 [gr-qc] 3 Aug 2011 Page 1 Zakopane lectures on loop gravity Carlo Rovelli
Centre de Physique Théorique de Luminy, Case 907, F-13288 Marseille, EU (Dated: August 4 …

Spinfoam on a Lefschetz thimble: Markov chain Monte Carlo computation of a Lorentzian spinfoam propagator

M Han, Z Huang, H Liu, D Qu, Y Wan - Physical Review D, 2021 - APS
We compute numerically the Lorentzian Engle-Pereira-Rovelli-Livine spinfoam propagator
on a 4-simplex, by adapting the Lefschetz thimble and Markov chain Monte-Carlo methods …

[HTML][HTML] SL (2, C) Chern–Simons theory, a non-planar graph operator, and 4D quantum gravity with a cosmological constant: Semiclassical geometry

HM Haggard, M Han, W Kamiński, A Riello - Nuclear Physics B, 2015 - Elsevier
We study the expectation value of a nonplanar Wilson graph operator in SL (2, C) Chern–
Simons theory on S 3. In particular we analyze its asymptotic behavior in the double-scaling …

Asymptotics of spinfoam amplitude on simplicial manifold: Lorentzian theory

M Han, M Zhang - Classical and Quantum Gravity, 2013 - iopscience.iop.org
This paper studies the large-j asymptotics of the Lorentzian Engle–Pereira–Rovelli–Livine
(EPRL) spinfoam amplitude on a 4D simplicial complex with an arbitrary number of …

Asymptotics of the spin foam amplitude on simplicial manifold: Euclidean theory

M Han, M Zhang - Classical and Quantum Gravity, 2012 - iopscience.iop.org
We study the large-j asymptotics of the Euclidean EPRL/FK spin foam amplitude on a 4D
simplicial complex with arbitrary number of simplices. We show that for a critical …

From general relativity to quantum gravity

A Ashtekar, M Reuter, C Rovelli - arXiv preprint arXiv:1408.4336, 2014 - arxiv.org
In general relativity (GR), spacetime geometry is no longer just a background arena but a
physical and dynamical entity with its own degrees of freedom. We present an overview of …

Lorentzian spinfoam propagator

E Bianchi, Y Ding - Physical Review D—Particles, Fields, Gravitation, and …, 2012 - APS
The two-point correlation function is calculated in the Lorentzian Engle-Pereira-Rovelli-
Livine spinfoam model and shown to match with the one in Regge calculus in a proper limit …

Einstein equation from covariant loop quantum gravity in semiclassical continuum limit

M Han - Physical Review D, 2017 - APS
In this paper we explain how four-dimensional general relativity and, in particular, the
Einstein equation, emerge from the spin-foam amplitude in loop quantum gravity. We …

On spinfoam models in large spin regime

M Han - Classical and Quantum Gravity, 2013 - iopscience.iop.org
We study the semiclassical behavior of Lorentzian Engle–Pereira–Rovelli–Livine (EPRL)
spinfoam model, by taking into account the sum over spins in the large spin regime. We also …