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The nature of the classical canonical phase-space variables for gravity suggests that the associated quantum field operators should obey affine commutation relations rather than canonical commutation relations. Prior to the introduction of…

广义相对论与量子宇宙学 · 物理学 2014-11-17 John R. Klauder

We discuss applications of perturbative quantum gravity in the theory of very early quantum Universe and quantum cosmology. Consistency of the theoretical formalism for quantum effects of matter and correspondence with observational status…

高能物理 - 理论 · 物理学 2023-02-07 Andrei O. Barvinsky , Alexander Yu. Kamenshchik

In these Lectures a method is described to analyze the effect of quantum fluctuations on topological defect backgrounds up to the one-loop level. The method is based on the spectral heat kernel/zeta function regularization procedure, and it…

高能物理 - 理论 · 物理学 2014-11-20 J. Mateos Guilarte , A. Alonso-Izquierdo , W. Garcia Fuertes , M. de la Torre Mayado , M. J. Senosiain

Strongly-coupled Quantum Field Theories (QFTs) are ubiquitous in high energy physics and many-body physics, yet our ability to do precise computations in such systems remains limited. Hamiltonian Truncation is a method for doing…

高能物理 - 理论 · 物理学 2022-01-28 A. Liam Fitzpatrick , Emanuel Katz

The early universe provides an opportunity for quantum gravity to connect to observation by explaining the large-scale structure of the Universe. In the group field theory (GFT) approach, a macroscopic universe is described as a GFT…

广义相对论与量子宇宙学 · 物理学 2018-12-05 Steffen Gielen , Daniele Oriti

We study point particles in 2+1 dimensional first order gravity using a triangulation to fix the connection and frame-field. The Hamiltonian is reduced to a boundary term which yields the total mass. The triangulation is dynamical with…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Jonathan Ziprick

We describe the idea of studying quantum gravity by means of dynamical triangulations and give examples of its implementation in 2, 3 and 4 space time dimensions. For $d=2$ we consider the generic hermitian 1-matrix model. We introduce the…

高能物理 - 理论 · 物理学 2007-05-23 C. F. Kristjansen

We study the effects of quantum fluctuations on the event horizon area and their implications for corrections to the Bekenstein-Hawking entropy. These quantum corrections are incorporated into the framework of large-scale gravitational…

高能物理 - 理论 · 物理学 2025-01-08 Alireza Maleki , Ahmad Sheykhi

One can try to define the theory of quantum gravity as the sum over geometries. In two dimensions the sum over {\it Euclidean} geometries can be performed constructively by the method of {\it dynamical triangulations}. One can define a {\it…

广义相对论与量子宇宙学 · 物理学 2017-08-23 J. Ambjorn

We compute numerically the time evolution of simple semiclassical states describing homogeneous and isotropic spatial geometries in quantum-reduced loop gravity under a deparametrized formulation of the dynamics, in which a reference matter…

广义相对论与量子宇宙学 · 物理学 2026-04-02 Ilkka Mäkinen

We present a theory of tunnelling geometries originating from the no-boundary quantum state of Hartle and Hawking. We reformulate the no-boundary wavefunction in the representation of true physical variables and calculate it in the one-loop…

广义相对论与量子宇宙学 · 物理学 2011-07-19 A. O. Barvinsky , A. Yu. Kamenshchik

We study a (1+1)-dimensional quantum circuit consisting of Haar-random unitary gates and projective measurements that conserve a total $U(1)$ charge and thus have $U(1)$ symmetry. In addition to a measurement-induced entanglement transition…

无序系统与神经网络 · 物理学 2023-01-31 Hisanori Oshima , Yohei Fuji

We evoke situations where large fluctuations in the entropy are induced, our main example being a spacetime containing a potential black hole whose formation depends on the outcome of a quantum mechanical event. We argue that the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Rafael Sorkin , Daniel Sudarsky

The inhomogeneous fluctuations that underlie structure formation - galaxies and CMB hotspots - might have been seeded by quantum cosmological fluctuations, as magnified by some inflationary mechanism. The Halliwell-Hawking model for these,…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Edward Anderson

Recent developments in gravitational path integrals indicate that the nonperturbative physical Hilbert space of a closed universe is one-dimensional within each superselection sector. This raises a basic puzzle: how can a unique…

高能物理 - 理论 · 物理学 2026-03-03 Yasunori Nomura , Tomonori Ugajin

Adopting the premise that the expected value of the quantum fluctuating metric is linear, i.e., $\langle g^{\mu\nu}\rangle=\alpha g^{\mu\nu}$, we analyze the modified gravity theory induced by the Einstein-Hilbert action coupled to a matter…

广义相对论与量子宇宙学 · 物理学 2024-06-18 C. A. S. Almeida , F. C. E. Lima

Quantum fluctuations in spacetime can, in some cases, lead to distortion in astronomical images of faraway objects. In particular, a stochastic model of quantum gravity predicts an accumulated fluctuation in the path length $\Delta L$ with…

广义相对论与量子宇宙学 · 物理学 2024-05-24 Vincent S. H. Lee , Kathryn M. Zurek , Yanbei Chen

Extending hyperuniformity from classical to quantum fluctuations in electron systems yields a framework that identifies quantum phase transitions and reveals underlying gap structures through the quantum weight. We study long-wavelength…

强关联电子 · 物理学 2026-01-27 Junmo Jeon , Shiro Sakai

The effect of quantum fluctuations on a nearly flat, nonrelativistic two-dimensional membrane with extrinsic curvature stiffness and tension is investigated. The renormalization group analysis is carried out in first-order perturbative…

凝聚态物理 · 物理学 2009-10-31 M. E. S. Borelli , H. Kleinert , Adriaan M. J. Schakel

One of the fundamental challenges for quantum cosmology is to explain the emergence of our macroscopic Universe from physics at the Planck scale. In the group field theory (GFT) approach to quantum gravity, such a macroscopic universe…

广义相对论与量子宇宙学 · 物理学 2019-02-12 Steffen Gielen