Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Dona, Pietro"'
Publikováno v:
SciPost Phys. 17, 127 (2024)
We introduce a mathematical framework for symmetry-resolved entanglement entropy with a non-abelian symmetry group. To obtain a reduced density matrix that is block-diagonal in the non-abelian charges, we define subsystems operationally in terms of s
Externí odkaz:
http://arxiv.org/abs/2405.00597
Publikováno v:
Phys. Rev. D 109, 106016 (2024)
Quantum gravitational tunneling effects are expected to give rise to a number of interesting observable phenomena, including, in particular, the evolution of black holes at the end of their existence or the emergence of the early universe from a quan
Externí odkaz:
http://arxiv.org/abs/2402.09038
Autor:
Dona, Pietro, Frisoni, Pietropaolo
Publikováno v:
Phys. Rev. D 107, 106008 (2023)
We introduce a strategy to compute EPRL spin foam amplitudes with many internal faces numerically. We work with sl2cfoam-next, the state-of-the-art framework to numerically evaluate spin foam transition amplitudes. We find that uniform sampling Monte
Externí odkaz:
http://arxiv.org/abs/2302.00072
Publikováno v:
Bambi, C., Modesto, L., Shapiro, I. (eds) Handbook of Quantum Gravity. Springer, Singapore 2023
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 $\texttt{sl2cfoam-next}$, the state-of-the-art library to efficiently
Externí odkaz:
http://arxiv.org/abs/2212.14396
Autor:
Dona, Pietro
Publikováno v:
Phys.Rev.D 107 (2023) 6, 066011
Local flatness is a property shared by all the spin foam models. It ensures that the theory's fundamental building blocks are flat by requiring locally trivial parallel transport. In the context of simplicial Lorentzian spin foam theory, we show that
Externí odkaz:
http://arxiv.org/abs/2211.04743
Publikováno v:
Phys.Rev.D 106 (2022) 6, 066022
We numerically estimate the divergence of several two-vertex diagrams that contribute to the radiative corrections for the Lorentzian EPRL spin foam propagator. We compute the amplitudes as functions of a homogeneous cutoff over the bulk quantum numb
Externí odkaz:
http://arxiv.org/abs/2206.14755
Autor:
Dona, Pietro, Frisoni, Pietropaolo
Publikováno v:
Universe 2022, 8(4), 208
Spin foam theory is a concrete framework for quantum gravity where numerical calculations of transition amplitudes are possible. Recently, the field became very active, but the entry barrier is steep, mainly because of its unusual language and notion
Externí odkaz:
http://arxiv.org/abs/2202.04360
Publikováno v:
Phys.Rev.D 104 (2021) 12, 126008
We show that the Euclidean and Lorentzian EPRL vertex amplitudes of covariant Loop Quantum Gravity are related through a ``Wick rotation'' of the real Immirzi parameter to purely imaginary values. Our result follows from the simultaneous analytic con
Externí odkaz:
http://arxiv.org/abs/2106.14672
Publikováno v:
Commun.Math.Phys. 389 (2022) 1, 399-437
We study the semiclassical limit of a class of invariant tensors for infinite-dimensional unitary representations of $\mathrm{SL}(2,\mathbb{C})$ of the principal series, corresponding to generalized Clebsch-Gordan coefficients with $n\geq3$ legs. We
Externí odkaz:
http://arxiv.org/abs/2011.13909
Publikováno v:
Quantum 5, 520 (2021)
The operational formulations of quantum theory are drastically time oriented. However, to the best of our knowledge, microscopic physics is time-symmetric. We address this tension by showing that the asymmetry of the operational formulations does not
Externí odkaz:
http://arxiv.org/abs/2010.05734