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We construct gravitational modifications that go beyond Horndeski, namely theories with extended nonminimal derivative couplings, in which the coefficient functions depend not only on the scalar field but also on its kinetic energy. Such…

广义相对论与量子宇宙学 · 物理学 2017-03-01 Tiberiu Harko , Francisco S. N. Lobo , Emmanuel N. Saridakis , Minas Tsoukalas

Loop quantum cosmology (LQC) provides promising resolutions to the trans-Planckian issue and initial singularity arising in the inflationary models of general relativity. In general, due to different quantization approaches, LQC involves…

广义相对论与量子宇宙学 · 物理学 2015-12-10 Tao Zhu , Anzhong Wang , Gerald Cleaver , Klaus Kirsten , Qin Sheng , Qiang Wu

In the loop approach to the quantisation of gravity, one uses a Hilbert space which is too singular for some operators to be realised as derivatives. This is usually addressed by instead using finite difference operators at the Planck…

广义相对论与量子宇宙学 · 物理学 2009-12-17 Robert C. Helling

The relationship between classical and quantum theory is of central importance to the philosophy of physics, and any interpretation of quantum mechanics has to clarify it. Our discussion of this relationship is partly historical and…

量子物理 · 物理学 2007-05-23 N. P. Landsman

In this paper, we investigate the connection between Classical and Quantum Mechanics by dividing Quantum Theory in two parts: - General Quantum Axiomatics (a system is described by a state in a Hilbert space, observables are self-adjoint…

量子物理 · 物理学 2009-11-07 H. Bergeron

In contrast to scalar and tensor modes, vector modes of linear perturbations around an expanding Friedmann--Robertson--Walker universe decay. This makes them largely irrelevant for late time cosmology, assuming that all modes started out at…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Martin Bojowald , Golam Mortuza Hossain

We investigate three issues that have been discussed in the context of inflation: Fading of the importance of quantum non-commutativity; the phenomenon of quantum squeezing; and the ability to approximate the quantum state by a distribution…

广义相对论与量子宇宙学 · 物理学 2020-11-13 Abhay Ashtekar , Alejandro Corichi , Aruna Kesavan

A four dimensional scalar field theory with quartic and of higher power interactions suffers the triviality issue at the quantum level. This is due to coupling constants that, contrary to the physical expectations, seem to grow without a…

高能物理 - 理论 · 物理学 2013-05-30 Artur R. Pietrykowski

We study the deformation of the horizon-vicinity geometry caused by quantum gravitational effects. Departure from the semi-classical picture is noted, and the fact that the matter part of the action comes at a higher order in Newton's…

高能物理 - 理论 · 物理学 2018-02-14 I. Y. Park

Several new results regarding the quantum cosmology of the quadratic gravity theory derived from the heterotic string effective action are presented. After describing techniques for solving the Wheeler-De Witt equation with appropriate…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Simon Davis , Hugh Luckock

The calculation of higher-order corrections in Quantum Field Theories is a challenging task. In particular, dealing with multiloop and multileg Feynman amplitudes leads to severe bottlenecks and a very fast scaling of the computational…

高能物理 - 唯象学 · 物理学 2023-05-16 German F. R. Sborlini

In loop quantum cosmology, the universe avoids a big bang singularity and undergoes an early and short super-inflation phase. During super-inflation, non-perturbative quantum corrections to the dynamics drive an inflaton field up its…

天体物理学 · 物理学 2011-02-23 Shinji Tsujikawa , Parampreet Singh , Roy Maartens

We explore the extension of quantum cosmology outside the homogeneous approximation, using the formalism of loop quantum gravity. We introduce a model where some of the inhomogeneous degrees of freedom are present, providing a tool for…

广义相对论与量子宇宙学 · 物理学 2008-12-18 Carlo Rovelli , Francesca Vidotto

Cosmological correlators from inflation are often generated at tree level and hence loop contributions are bounded to be small corrections by perturbativity. Here we discuss a scenario where this is not the case. Recently, it has been shown…

高能物理 - 理论 · 物理学 2023-11-08 Mang Hei Gordon Lee , Ciaran McCulloch , Enrico Pajer

With the goal in mind of deriving a method to compute quantum corrections for the real-time evolution in quantum field theory, we analyze the problem from the perspective of the Wigner function. We argue that this provides the most natural…

数学物理 · 物理学 2013-05-30 Antonio González-Arroyo , Fermín Nuevo

In loop quantum cosmology, non-perturbative quantum gravity effects lead to the resolution of the big bang singularity by a quantum bounce without introducing any new degrees of freedom. Though fundamentally discrete, the theory admits a…

广义相对论与量子宇宙学 · 物理学 2010-05-12 Gonzalo J. Olmo , Parampreet Singh

Loop quantum cosmology is an application of recent developments for a non-perturbative and background independent quantization of gravity to a cosmological setting. Characteristic properties of the quantization such as discreteness of…

天体物理学 · 物理学 2009-11-13 Martin Bojowald

A modified form of non-locally corrected theory of gravity is investigated in the context of cosmology and the Newtonian limit. This form of non-local correction to classic Einstein-Hilbert action can be locally represented by a…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Dao-Jun Liu , Bin Yang , Xing-Hua Jin

Here, cosmology of the late and future universe is obtained from $f(R)$-gravity with non-linear curvature terms $R^2$ and $R^3$ ($R$ being the Ricci scalar curvature). It is different from $f(R)$-dark enrgy models, where non-linear…

广义相对论与量子宇宙学 · 物理学 2009-09-17 S. K. Srivastava

Consistent dynamics which couples classical and quantum degrees of freedom exists, provided it is stochastic. This dynamics is linear in the hybrid state, completely positive and trace preserving. One application of this is to study the…

量子物理 · 物理学 2023-01-04 Jonathan Oppenheim , Carlo Sparaciari , Barbara Šoda , Zachary Weller-Davies