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We study the stability of quantum motion of classically regular systems in presence of small perturbations. Onthe base of a uniform semiclassical theory we derive the fidelity decay which displays a quite complexbehaviour, from Gaussian to…

Quantum Physics · Physics 2015-06-26 Wen-ge Wang , G. Casati , Baowen Li

In quantum field theory, particle creation occurs, in general, when an intense external field, such as an electromagnetic field, breaks time translational invariance. This leads to an ambiguity in the definition of the vacuum state. In…

High Energy Physics - Theory · Physics 2022-06-24 Álvaro Álvarez-Domínguez , Luis J. Garay , David García-Heredia , Mercedes Martín-Benito

It is shown that the field equations derived from an effective interaction hamiltonian for Maxwell and gravitational fields in the semiclassical approximation of loop quantum gravity using rotational invariant states (such as weave states)…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. N. Kozameh , M. F. Parisi

We discuss the relevance of quantum gravitational corrections to the functional Schr\"odinger equation for the information loss paradox in black hole evaporation. These corrections are found from the Wheeler-DeWitt equation through a…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Claus Kiefer , Rainer Mueller , Tejinder P. Singh

Quantum field theory (QFT) based on the principles of special relativity (SR) and it is in fact the \emph{kinematic theory of fields}. The root assumption is that there is "relativistic description" of \emph{any} isolated quantum system in…

General Physics · Physics 2018-08-02 Peter Leifer

The basic features of a quantum field theory which is Poincar\'e invariant, gauge invariant, finite and unitary to all orders of perturbation theory are reviewed. Quantum gravity is finite and unitary to all orders of perturbation theory.…

High Energy Physics - Theory · Physics 2007-05-23 J. W. Moffat

For pure fourth order (${\cal{L}} \propto R^2$) quantum cosmology the Wheeler-DeWitt equation is solved exactly for the closed homogeneous and isotropic model. It is shown that by imposing as boundary condition that $\Psi = 0$ at the origin…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Pimentel L O , Obregon O

The quantization of unimodular gravity in minisuperspace leads to a time evolution of states generated by the Hamiltonian, as in usual quantum mechanics. We revisit the analysis made in Ref. \cite{unruh}, extending it to phantom scalar…

General Relativity and Quantum Cosmology · Physics 2025-04-17 Júlio C. Fabris , Luiz Filipe Guimarães , Nelson Pinto-Neto , Mahamadou Hamani Daouda

We discuss how to formulate a condition for choosing the vacuum state of a quantum scalar field on a timelike hyperplane in the general boundary formulation (GBF) using the coupling to an Unruh-DeWitt detector. We explicitly study the…

High Energy Physics - Theory · Physics 2015-06-05 Ralf Banisch , Frank Hellmann , Dennis Raetzel

An one-parameter regularization freedom of the Hamiltonian constraint for loop quantum gravity is analyzed. The corresponding spatially flat, homogenous and isotropic model includes the two well-known models of loop quantum cosmology as…

General Relativity and Quantum Cosmology · Physics 2021-11-12 Xiangdong Zhang , Gaoping Long , Yongge Ma

We study the behaviour of quantum field theories defined on a surface $S$ as it tends to a null surface $S_n$. In the case of a real, free scalar field theory the above limiting procedure reduces the system to one with a finite number of…

High Energy Physics - Theory · Physics 2009-10-31 Kumar S. Gupta , Badis Ydri

We study the classical and quantum cosmology of a $(4+d)$-dimensional spacetime minimally coupled to a scalar field and present exact solutions for the resulting field equations for the case where the universe is spatially flat. These…

High Energy Physics - Theory · Physics 2009-11-10 S. Jalalzadeh , F. Ahmadi , H. R. Sepangi

Solutions to a scalar-tensor (dilaton) quantum gravity theory, interacting with quantized matter, are described. Dirac quantization is frustrated by quantal anomalies in the constraint algebra. Progress is made only after the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Roman Jackiw

In this paper it is studied the cosmology of a homogeneous and isotropic spacetime endorsed with a conformally coupled massless scalar field. We find six different solutions of the Friedmann equation that represent six different types of…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Salvador J. Robles-Perez

Generic relevant deformations of Einstein's gravity theory contain additional degrees of freedom that have a multi-facetted stabilization dynamics on curved spacetimes. We show that these relevant degrees of freedom are self-protected…

High Energy Physics - Theory · Physics 2011-05-23 Felix Berkhahn , Dennis D. Dietrich , Stefan Hofmann

We give an introduction into quantum cosmology with emphasis on its conceptual parts. After a general motivation we review the formalism of canonical quantum gravity on which discussions of quantum cosmology are usually based. We then…

General Relativity and Quantum Cosmology · Physics 2022-09-23 Claus Kiefer , Barbara Sandhoefer

The gravity-scalar field system in spherical symmetry provides a natural setting for exploring gravitational collapse and its aftermath in quantum gravity. In a canonical approach, we give constructions of the Hamiltonian operator, and of…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Viqar Husain , Daniel R. Terno

In the background of homogeneous and isotropic flat FLRW space-time, both classical and quantum cosmology has been studied for teleparallel dark energy (DE) model. Using Noether symmetry analysis, not only the symmetry vector but also the…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Dipankar Laya , Roshni Bhaumik , Sourav Dutta , Subenoy Chakraborty

(A) The momentum density conjugate to a bosonic quantum field splits naturally into the sum of a classical component and a nonclassical component. It is shown that the field and the nonclassical component of the momentum density satisfy…

High Energy Physics - Theory · Physics 2007-05-23 Michael J. W. Hall , Kailash Kumar , Marcel Reginatto

Semiclassical gravity couples classical gravity to the quantized matter in meanfield approximation. The meanfield coupling is problematic for two reasons. First, it ignores the quantum fluctuation of matter distribution. Second, it violates…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Lajos Diósi