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We show how Loop Quantum Cosmology can be derived as an effective semiclassical description of Loop Quantum Gravity. Using the tools of QRLG, a gauge fixed version of LQG, we take the coherent states of the fundamental microscopic theory…

广义相对论与量子宇宙学 · 物理学 2014-10-20 Emanuele Alesci , Francesco Cianfrani

We use the scalar model with quartic interaction to illustrate how a nonperturbative variational technique combined with renormalization group (RG) properties efficiently resums perturbative expansions in thermal field theories. The…

高能物理 - 唯象学 · 物理学 2016-01-27 J. -L. Kneur , M. B. Pinto

Quantum control is concerned with the realisation of desired dynamics in quantum systems, serving as a linchpin for advancing quantum technologies and fundamental research. Analytic approaches and standard optimisation algorithms do not…

量子物理 · 物理学 2025-05-29 Jan Ole Ernst , Aniket Chatterjee , Tim Franzmeyer , Axel Kuhn

By performing an analysis in moment space using high statistics DIS world data, we extract the values of both the QCD parameter $\Lambda^{(4)}_{\bar{MS}}$ up to NLO and of the power corrections to the proton structure function, $F_2$. At…

高能物理 - 唯象学 · 物理学 2009-10-31 S. Liuti

We study the consistency of having Lorentz invariance as a low energy approximation within the quantum field theory framework. A model with a scalar and a fermion field is used to show how a Lorentz invariance violating high momentum scale,…

高能物理 - 理论 · 物理学 2017-06-05 J. L. Cortes , J. Lopez-Sarrion

We present the status and update of a new approach to quantum general relativity as formulated by Feynman from the Einstein-Hilbert action wherein amplitude-based resummation techniques are applied to the theory's loop corrections to yield…

广义相对论与量子宇宙学 · 物理学 2008-10-09 B. F. L. Ward

The quantum contributions to the gravitational action are relatively easy to calculate in the higher derivative sector of the theory. However, the applications to the post-inflationary cosmology and astrophysics require the corrections to…

宇宙学与河外天体物理 · 物理学 2015-06-04 Julio C. Fabris , Paulo L. C. de Oliveira , Davi C. Rodrigues , Ilya L. Shapiro , A. M. Velasquez-Toribio

We show that, by using amplitude-based resummation techniques for Feynman's formulation of Einstein's theory, we get quantum field theoretic 'first principles' predictions for the UV fixed-point values of the dimensionless gravitational and…

广义相对论与量子宇宙学 · 物理学 2009-10-13 B. F. L. Ward

Measurement and estimation of parameters are essential for science and engineering, where one of the main quests is to find systematic schemes that can achieve high precision. While conventional schemes for quantum parameter estimation…

量子物理 · 物理学 2021-04-29 Han Xu , Junning Li , Liqiang Liu , Yu Wang , Haidong Yuan , Xin Wang

The intrinsic unsharpness of a quantum observable is studied by introducing the notion of resolution width. This quantification of accuracy is shown to be closely connected with the possibility of making approximately repeatable…

量子物理 · 物理学 2009-03-18 C. Carmeli , T. Heinonen , A. Toigo

Within loop quantum gravity we construct a coarse-grained approximation for the Einstein-Maxwell theory that yields effective Maxwell equations in flat spacetime comprising Planck scale corrections. The corresponding Hamiltonian is defined…

高能物理 - 理论 · 物理学 2009-11-07 Jorge Alfaro , Hugo A. Morales-Técotl , Luis F. Urrutia

In the inflationary scenario of loop quantum cosmology in the presence of inverse-volume corrections, we give analytic formulas for the power spectra of scalar and tensor perturbations convenient to compare with observations. Since…

宇宙学与河外天体物理 · 物理学 2015-03-18 Martin Bojowald , Gianluca Calcagni , Shinji Tsujikawa

Quantum many-body theory has witnessed tremendous progress in various fields, ranging from atomic and solid-state physics to quantum chemistry and nuclear structure. Due to the inherent computational burden linked to the ab initio treatment…

We consider the k=1 Friedman-Lemaitre-Robertson-Walker (FLRW) model within loop quantum cosmology (LQC), from the perspective of the two available quantization prescriptions. We focus our attention on the existence of the so called `inverse…

广义相对论与量子宇宙学 · 物理学 2016-04-28 Alejandro Corichi , Asieh Karami

Through defining irreducible loop integrals (ILIs), a set of consistency conditions for the regularized (quadratically and logarithmically) divergent ILIs are obtained to maintain the generalized Ward identities of gauge invariance in…

高能物理 - 理论 · 物理学 2009-11-07 Yue-Liang Wu

We discuss the possible appearance of several rather exotic phenomena in quantum gravity, including UV/IR mixing, novel modifications of infrared phenomenology that extend effective field theory approaches, and the relaxation of the usual…

The issue of Lorentz fine-tuning in effective theories containing higher-order operators is studied. To this end, we focus on the Myers-Pospelov extension of QED with dimension-five operators in the photon sector and standard fermions. We…

高能物理 - 唯象学 · 物理学 2015-05-18 Carlos M. Reyes , Sebastian Ossandon , Camilo Reyes

We derive the primordial power spectra and spectral indexes of the density fluctuations and gravitational waves in the framework of loop quantum cosmology (LQC) with holonomy and inverse-volume corrections, by using the uniform asymptotic…

广义相对论与量子宇宙学 · 物理学 2015-08-04 Tao Zhu , Anzhong Wang , Gerald Cleaver , Klaus Kirsten , Qin Sheng , Qiang Wu

In this paper, we propose a general analysis framework for inexact power iteration, which can be used to efficiently solve high dimensional eigenvalue problems arising from quantum many-body problems. Under the proposed framework, we…

数值分析 · 数学 2018-06-29 Jianfeng Lu , Zhe Wang

The quark form factor is known to exponentiate within the framework of dimensionally regularized perturbative QCD. The logarithm of the form factor is expressed in terms of integrals over the scale of the running coupling. I show that these…

高能物理 - 唯象学 · 物理学 2009-10-31 Lorenzo Magnea