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We introduce a quantum phase space representation for the orientation state of extended quantum objects, using the Euler angles and their conjugate momenta as phase space coordinates. It exhibits the same properties as the standard Wigner…

量子物理 · 物理学 2013-06-11 Timo Fischer , Clemens Gneiting , Klaus Hornberger

The recently proposed loop representation, used previously to find exact solutions to the quantum constraints of general relativity, is here used to quantize linearized general relativity. The Fock space of graviton states and its…

高能物理 - 理论 · 物理学 2010-11-01 Abhay Ashtekar , Carlo Rovelli , Lee Smolin

The metric of a perturbed Robertson-Walker spacetime is characterized by three functions: a scale-factor giving the expansion history and two potentials which generalize the single potential of Newtonian gravity. The Newtonian potential…

宇宙学与河外天体物理 · 物理学 2011-11-22 Edmund Bertschinger

An extension to computational mechanics complexity measure is proposed in order to tackle quantum states complexity quantification. The method is applicable to any $n-$partite state of qudits through some simple modifications. A Werner…

计算物理 · 物理学 2011-10-28 Yuri Campbell , José Roberto Castilho Piqueira

Quantization with coherent states allows to " quantize " any space X of parameters. In the case where X is a phase space, this leads to the usual quantum mechanics. But the procedure is much more general, and does not require a symplectic,…

数学物理 · 物理学 2007-05-23 Marc Lachieze Rey , Jean-Pierre Gazeau , Eric Huguet , Jacques Renaud , Tarik Garidi

We explore an extended coupling constant space of 4d regularized Euclidean quantum gravity, defined via the formalism of dynamical triangulations. We add a measure term which can also serve as a generalized higher curvature term and…

高能物理 - 格点 · 物理学 2014-04-08 J. Ambjorn , L. Glaser , A. Goerlich , J. Jurkiewicz

Quantum gravity is sometimes considered as a kind of metaphysical speculation. In this review, we show that, although still extremely difficult to reach, observational signatures can in fact be expected. The early universe is an invaluable…

广义相对论与量子宇宙学 · 物理学 2015-06-17 A. Barrau , T. Cailleteau , J. Grain , J. Mielczarek

Two-dimensional random surfaces are studied numerically by the dynamical triangulation method. In order to generate various kinds of random surfaces, two higher derivative terms are added to the action. The phases of surfaces in the…

高能物理 - 格点 · 物理学 2009-10-28 A. Fujitsu , N. Tsuda , T. Yukawa

In this thesis, I present three projects I carried out during m PhD. In the first project, I introduce Conformal Transformations and the Galaxy Number County. I explicitly show that the Galaxy Number Counts is invariant under Conformal…

广义相对论与量子宇宙学 · 物理学 2022-07-08 Jérémie Francfort

Factorization of the $N$-point amplitudes in two-dimensional $c=1$ quantum gravity is understood in terms of short-distance singularities arising from the operator product expansion of vertex operators after the Liouville zero mode…

高能物理 - 理论 · 物理学 2009-10-22 Norisuke Sakai , Yoshiaki Tanii

A general approach to the measurement of an observable with pre- and post-selection is presented. The limit of weak measurement is studied in detail, and it is shown that the phase of the probe, including a Hamiltonian contribution to it,…

量子物理 · 物理学 2008-04-19 Antonio Di Lorenzo , J. Carlos Egues

We compute the one-loop quantum corrections to the gravitational potentials of a spinning point particle in a de Sitter background, due to the vacuum polarisation induced by conformal fields in an effective field theory approach. We…

高能物理 - 理论 · 物理学 2017-04-19 Markus B. Fröb , Enric Verdaguer

The effect of the Earth's gravitational potential on a quantum wave function has only been observed for massive particles. In this paper we present a scheme to measure a gravitationally induced phase shift on a single photon travelling in a…

A phase space formulation of the filtering process upon an incident quantum state is developed. This formulation can explain the results of both quantum interference and delayed-choice experiments without making use of the controversial…

量子物理 · 物理学 2009-11-10 Daniela Dragoman

A theory of quantum measurement was introduced some time ago that was based on the notion of the so-called separation status. This separation status had a spatial, local character, so that the theory worked only in special cases.…

量子物理 · 物理学 2016-06-14 Petr Hajicek

Gravity is perturbatively renormalizable for the physical states which can be conveniently defined via foliation-based quantization. In recent sequels, one-loop analysis was explicitly carried out for Einstein-scalar and Einstein-Maxwell…

高能物理 - 理论 · 物理学 2021-11-12 I. Y. Park

Group field theories are a generalization of matrix models which provide both a second quantized reformulation of loop quantum gravity as well as generating functions for spin foam models. While states in canonical loop quantum gravity, in…

广义相对论与量子宇宙学 · 物理学 2018-08-01 Johannes Thürigen

We critically examine the recent claim (gr-qc/9603008) of a ``new effect'' of gravitationally induced quantum mechanical phases in neutrino oscillations. A straightforward exercise in the Schwarzschild coordinates appropriate to a…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Tanmoy Bhattacharya , Salman Habib , Emil Mottola

We use dimensional regularization to compute the one loop quantum gravitational contribution to the vacuum polarization on flat space background. Adding the appropriate BPHZ counterterm gives a fully renormalized result which we employ to…

广义相对论与量子宇宙学 · 物理学 2013-05-30 Katie E. Leonard , R. P. Woodard

The computation of the effect of a simple monodromy defect in the case of a sphere with twisted boundary conditions is revisited and streamlined using earlier calculations for a similar system. Compact and explicit expressions are found for…

高能物理 - 理论 · 物理学 2021-04-27 J. S. Dowker