Results 51 to 60 of about 1,109,861 (332)
Invited review: The new spin foam models and quantum gravity [PDF]
In this article, we give a systematic definition of the recently introduced spin foam models for four-dimensional quantum gravity, reviewing the main results on their semiclassical limit on fixed discretizations.
Alejandro Perez
doaj +2 more sources
Quantum gravity at the fifth root of unity
We consider quantum transition amplitudes, partition functions and observables for 3D spin foam models within SU(2)quantum group deformation symmetry, where the deformation parameter is postulated to be a complex fifth root of unity.
Marcelo Amaral +2 more
doaj +1 more source
Hopf link volume simplicity constraints in spin foam models [PDF]
In this article we consider specific bivector geometries which arise in the large-spin limit of the extension of the Engle–Pereira–Rovelli–Livine spin foam model for quantum gravity by Kaminski, Kisielowski and Lewandowski.
Mehdi Assanioussi, Benjamin Bahr
semanticscholar +1 more source
Monte Carlo algorithm for spin foam intertwiners [PDF]
Monte Carlo algorithms are barely considered in spin foam quantum gravity. Due to the quantum nature of spin foam amplitudes one cannot readily apply them, and the present sign problem is a threat to convergence and thus efficiency.
S. Steinhaus
semanticscholar +1 more source
Spin foam quantization and anomalies [PDF]
32 ...
Bojowald, Martin, Perez, Alejandro
openaire +2 more sources
Efficient tensor network algorithms for spin foam models [PDF]
Numerical computations and methods have become increasingly crucial in the study of spin foam models across various regimes. This paper adds to this field by introducing new algorithms based on tensor network methods for computing amplitudes, focusing on
Seth K. Asante, S. Steinhaus
semanticscholar +1 more source
Numerical analysis of spin foam dynamics and the flatness problem [PDF]
In this paper, we apply a recently proposed numerical algorithm for finding stationary phase points in spin foam amplitudes. We study a spin foam amplitude with three vertices and a bulk face in 4d BF theory.
P. Donà, F. Gozzini, Giorgio Sarno
semanticscholar +1 more source
While the use of spin networks has greatly improved our understanding of the kinematical aspects of quantum gravity, the dynamical aspects remain obscure. To address this problem, we define the concept of a `spin foam' going from one spin network to another. Just as a spin network is a graph with edges labeled by representations and vertices labeled by
openaire +3 more sources
Numerical study of the Lorentzian Engle-Pereira-Rovelli-Livine spin foam amplitude [PDF]
The Lorentzian EPRL spin foam amplitude for loop quantum gravity is a multi-dimensional non-compact integral of highly oscillating functions. Using a method based on the decomposition of Clebsch-Gordan coefficients for the unitary infinite-dimensional ...
P. Donà +3 more
semanticscholar +1 more source
so(4) Plebanski Action and Relativistic Spin Foam Model [PDF]
In this note we study the correspondence between the ``relativistic spin foam'' model introduced by Barrett, Crane and Baez and the so(4) Plebanski action.
Baez J +16 more
core +2 more sources

