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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…

General Relativity and Quantum Cosmology · Physics 2020-07-21 Pietro Dona , Marco Fanizza , Giorgio Sarno , Simone Speziale

In this work we study a Spin Foam model for 4d Riemannian gravity, and propose a new way of imposing the simplicity constraints that uses the recently developed holomorphic representation. Using the power of the holomorphic integration…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Andrzej Banburski , Lin-Qing Chen , Laurent Freidel , Jeff Hnybida

We suggest that large radiative corrections appearing in the spinfoam framework might be tied to the implicit sum over orientations. Specifically, we show that in a suitably simplified context the characteristic "spike" divergence of the…

General Relativity and Quantum Cosmology · Physics 2013-02-07 Marios Christodoulou , Miklos Långvik , Aldo Riello , Christian Röken , Carlo Rovelli

The intricated combinatorial structure and the non-compactness of the Lorentz group have always made the computation of $SL(2,\mathbb{C})$ EPRL spin foam transition amplitudes a very hard and resource demanding task. With \texttt{sl2cfoam}…

General Relativity and Quantum Cosmology · Physics 2018-09-20 Pietro Dona , Giorgio Sarno

In this work, we investigate hole spin-flip transitions in a single self-assembled InGaAs/GaAs quantum dot. We find the hole wave functions using the 8-band $kp$ model and calculate phonon-assisted spin relaxation rates for the ground-state…

Mesoscale and Nanoscale Physics · Physics 2020-11-11 Mateusz Krzykowski , Krzysztof Gawarecki , Pawel Machnikowski

Just as 3d state sum models, including 3d quantum gravity, can be built using categories of group representations, "2-categories of 2-group representations" may provide interesting state sum models for 4d quantum topology, if not quantum…

High Energy Physics - Theory · Physics 2011-08-23 Aristide Baratin , Derek K. Wise

The topology of a topological material can be encoded in its surface states. These surface states can only be removed by a bulk topological quantum phase transition into a trivial phase. Here we use photoemission spectroscopy to image the…

We propose a new type of state sum model for two-dimensional surfaces that takes into account topology and spin. The definition used - new to the literature - provides a rich class of extended models called spin models. Both examples and…

Quantum Algebra · Mathematics 2014-12-18 Sara Oriana Gomes Tavares

We study the spin dynamics of individual black holes in a binary system. In particular we focus on the polar precession of spins and the possibility of a complete flip of spins with respect to the orbital plane. We perform a full numerical…

General Relativity and Quantum Cosmology · Physics 2016-02-17 Carlos O. Lousto , James Healy , Hiroyuki Nakano

A number of interesting features of the ground states of quantum spin chains are analized with the help of a functional integral representation of the system's equilibrium states. Methods of general applicability are introduced in the…

Condensed Matter · Physics 2009-10-22 Michael Aizenman , Bruno Nachtergaele

Spin foams provide path integrals for quantum gravity, which employ discretizations as regulator. To obtain regulator independent predictions, we must remove these fiducial structures in a suitable refinement limit. In this chapter we…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Seth K. Asante , Bianca Dittrich , Sebastian Steinhaus

Rapidly-rotating black-hole spacetimes outside general relativity are key to many tests of Einstein's theory. We here develop an efficient spectral method to represent such spacetimes analytically, in closed-form, and to high accuracy, in a…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes

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 configuration (j_f, g_{ve}, n_{ef}) in general, there exists a…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Muxin Han , Mingyi Zhang

We provide an algorithm to estimate the divergence degree of the Lorentzian EPRL-FK spin foam amplitudes for arbitrary 2-complexes. We focus on the "self-energy" and "vertex renormalization" diagrams and find an upper bound estimate. We…

General Relativity and Quantum Cosmology · Physics 2024-02-27 Pietro Dona

In this article we discuss an implementation of renormalization group ideas to spin foam models, where there is no a priori length scale with which to define the flow. In the context of the continuum limit of these models, we show how the…

General Relativity and Quantum Cosmology · Physics 2014-09-10 Benjamin Bahr

We present TEOBResumS, a new effective-one-body (EOB) waveform model for nonprecessing (spin-aligned) and tidally interacting compact binaries.Spin-orbit and spin-spin effects are blended together by making use of the concept of centrifugal…

High-fidelity gravitational waveform models are essential for realizing the scientific potential of next-generation gravitational-wave observatories. While highly accurate, state-of-the-art models often rely on extensive phenomenological…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Siddharth Mahesh , Sean T. McWilliams , Zachariah Etienne

A review of the present state of investigations of the pseudospin-electron model (PEM), which is used in the theory of strongly correlated electron systems, is given. The model is used to describe the systems with the locally anharmonic…

Strongly Correlated Electrons · Physics 2016-11-23 Ihor Stasyuk

This paper investigates the pseudo-spin based edge states for flexural waves in a honeycomb perforated phononic plate, which behaves an elastic analogue of the quantum spin Hall effect. We utilize finite element method to analyse the…

Applied Physics · Physics 2018-07-20 Linyun Yang , Kaiping Yu , Ying Wu , Rui Zhao , Shuaishuai Liu

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…

General Relativity and Quantum Cosmology · Physics 2023-03-16 Pietro Dona