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In the framework of the method of constraint system quantization, a quantum gravitational system (QGS) with the maximally symmetric geometry is studied. The state vector of the QGS satisfies the set of wave equations which describes the…

General Relativity and Quantum Cosmology · Physics 2019-11-05 V. E. Kuzmichev , V. V. Kuzmichev

In this paper, we studied Einsteinian quartic gravity minimally coupled to electrodynamics in four dimensions. First, by variation action, we obtain the field equations, and by integration, we obtain a nonlinear third-order differential…

General Relativity and Quantum Cosmology · Physics 2022-11-30 S. N. Sajadi , Leila Shahkarami , Farid Charmchi , S. H. Hendi

Previous explorations of the Asymptotic Safety scenario in Quantum Einstein Gravity (QEG) by means of the effective average action and its associated functional renormalization group (RG) equation assumed spacetime manifolds which have no…

High Energy Physics - Theory · Physics 2017-08-23 D. Becker , M. Reuter

The existence of a minimal measurable length is a common feature of various approaches to quantum gravity such as string theory, loop quantum gravity and black-hole physics. In this scenario, all commutation relations are modified and the…

High Energy Physics - Theory · Physics 2012-01-16 Pouria Pedram

The present paper is the companion of [1] in which we proposed a scheme that tries to derive the Quantum Field Theory (QFT) on Curved Spacetimes (CST) limit from background independent Quantum General Relativity (QGR). The constructions of…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Hanno Sahlmann , Thomas Thiemann

Quadratic gravity theories emerge as the low-energy limit of many grand-unified and quantum-gravity theories. We report the first gravitational-wave ringdown constraints on such theories obtained purely from the quasinormal-mode spectra of…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Adrian Ka-Wai Chung , Nicolás Yunes

We review some recent results on entanglement in the Quantum Spherical Model (QSM). The focus lays on the physical results rather than the mathematical details. Specifically, we study several entanglement-related quantities, such…

Statistical Mechanics · Physics 2023-06-28 Sascha Wald , Raul Arias , Vincenzo Alba

Using spin 1/2 particle elastic scattering on a fixed target, in a 1/|x| potential on Euclidean metric, a minimum scattering cross section appears from the spin contribution. Interpreted as semi-classical limit of an earlier proposed…

General Physics · Physics 2008-12-02 Jens Köplinger

Hartree-Fock approximation suffers from two inabilities including i) the divergence of electron Fermi velocity , and ii) existence of bandwidth not confirmed experimentally. Here, we study the effects of minimal length on the ground state…

Other Condensed Matter · Physics 2021-11-02 M. Mohammadi Sabet , H. Moradpour , M. Bahadoran , Amir Hadi ziaie

In the asymptotic safety programme for quantum gravity, it is important to go beyond polynomial truncations. Three such approximations have been derived where the restriction is only to a general function f(R) of the curvature R>0. We…

High Energy Physics - Theory · Physics 2013-01-29 Juergen A. Dietz , Tim R. Morris

We analyze some crucial questions regarding the practical feasibility of quantum simulation for lattice gauge models. Our analysis focuses on two models suitable for the quantum simulation of the Schwinger Hamiltonian, or QED in 1+1…

Quantum Physics · Physics 2014-12-11 Stefan Kühn , J. Ignacio Cirac , Mari-Carmen Bañuls

We present a candidate quantum field theory of gravity with dynamical critical exponent equal to z=3 in the UV. (As in condensed matter systems, z measures the degree of anisotropy between space and time.) This theory, which at short…

High Energy Physics - Theory · Physics 2009-04-22 Petr Horava

In this paper, we study the quantum statistical entropy in a 5D Ricci-flat black string solution, which contains a 4D Schwarzschild-de Sitter black hole on the brane, by using the improved thin-layer method with the generalized uncertainty…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Molin Liu , Yuanxing Gui , Hongya Liu

We construct a well-defined lattice-regularized quantum theory formulated in terms of fundamental fermion and gauge fields, the same type of degrees of freedom as in the Standard Model. The theory is explicitly invariant under local Lorentz…

High Energy Physics - Theory · Physics 2013-05-30 Alexey A. Vladimirov , Dmitri Diakonov

Quantum inequalities bound the extent to which weighted time averages of the renormalized energy density of a quantum field can be negative. They have mostly been proved in flat spacetime, but we need curved-spacetime inequalities to…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Eleni-Alexandra Kontou , Ken D. Olum

We study the quantum geometry of the fuzzy sphere defined as the angular momentum algebra $[x_i,x_j]=2\imath\lambda_p \epsilon_{ijk}x_k$ modulo setting $\sum_i x_i^2$ to a constant, using a recently introduced 3D rotationally invariant…

Quantum Algebra · Mathematics 2020-04-30 Evelyn Lira Torres , Shahn Majid

We give a complete definition of the entanglement gap separating low-energy, topological levels, from high-energy, generic ones, in the "entanglement spectrum" of Fractional Quantum Hall (FQH) states. By removing the magnetic length…

Strongly Correlated Electrons · Physics 2015-05-14 R. Thomale , A. Sterdyniak , N. Regnault , B. Andrei Bernevig

We define a simplified version of Regge quantum gravity where the link lengths can take on only two possible values, both always compatible with the triangle inequalities. This is therefore equivalent to a model of Ising spins living on the…

High Energy Physics - Lattice · Physics 2009-10-22 Tom Fleming , Mark Gross , Ray Renken

The prediction of a minimal length scale by various quantum gravity candidates (such as string/M theory, Doubly Special Relativity, Loop Quantum Gravity and others) have suggested modification of Heisenberg Uncertainty Principle (HUP),…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Gaurav Bhandari , S. D. Pathak , Manabendra Sharma , Anzhong Wang

In the framework of the two-form gravity, which is classically equivalent to the Einstein gravity, the one-loop effective potential for the conformal factor of metric is calculated in the finite volume and in the finite temperature by…

High Energy Physics - Theory · Physics 2015-06-26 Miyuki KATSUKI , Shin'ichi NOJIRI , Akio SUGAMOTO
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