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2-point topological charge correlation functions of several types of geometric singularity in gaussian random fields are calculated explicitly, using a general scheme: zeros of $n$-dimensional random vectors, signed by the sign of their…

数学物理 · 物理学 2010-12-01 M. R. Dennis

We discuss the two-dimensional dilaton gravity with a scalar field as the source matter. The coupling between the gravity and the scalar, massless, field is presented in an unusual form. We work out two examples of these couplings, and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Marcelo Alves

We investigate a higher-derivative scalar field model in a fixed d+1 dimensional AdS background as a toy model for a gravitational dual to a higher-rank logarithmic CFT. The holographic two-point correlation functions on the boundary agree…

高能物理 - 理论 · 物理学 2012-05-08 Eric A. Bergshoeff , Sjoerd de Haan , Wout Merbis , Massimo Porrati , Jan Rosseel

A holographic description of scalar mesons is presented, in which two- and three-point functions are holographically reconstructed. Mass spectrum, decay constants, eigenfunctions and the coupling of the scalar states with two pseu-…

高能物理 - 唯象学 · 物理学 2014-11-20 Stefano Nicotri

A novel routine to investigate the scalar fields in a cosmological context is discussed in the framework of the Hamiltonian formalism. Starting from the Einstein-Hilbert action coupled to a Lagrangian density that contains two components -…

广义相对论与量子宇宙学 · 物理学 2013-09-16 Alex E. Bernardini , O. Bertolami

We study correlation functions of scalar operators on the boundary of the $AdS_3$ space deformed by moving massive particles in the context of the AdS/CFT duality. To calculate two-point correlation functions we use the geodesic…

高能物理 - 理论 · 物理学 2016-12-15 D. S. Ageev , I. Ya. Aref'eva , M. D. Tikhanovskaya

We compute the spectrum of primordial gravitational wave perturbations in open de Sitter spacetime. The background spacetime is taken to be the continuation of an O(5) symmetric instanton saddle point of the Euclidean no boundary path…

高能物理 - 理论 · 物理学 2009-10-31 S. W. Hawking , Thomas Hertog , Neil Turok

We study some aspects of classical & quantum cosmology in the context of two-dimensionsal dilaton gravity theories with matter being described by a perfect fluid. We derive the classical equations obeyed by the metric function & the dilaton…

广义相对论与量子宇宙学 · 物理学 2010-11-11 M. A. Ahmed

Differential equations are powerful tools in the study of correlation functions in conformal field theories (CFTs). Carrollian amplitudes behave as correlation functions of Carrollian CFT that holographically describes asymptotically flat…

高能物理 - 理论 · 物理学 2024-07-09 Romain Ruzziconi , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

We study a two-dimensional conformal field theory coupled to quantum gravity on a disk. Using the continuum Liouville field approach, we compute three-point correlation functions of boundary operators. The structure of momentum…

高能物理 - 理论 · 物理学 2009-10-22 Yoshiaki Tanii , Shun-ichi Yamaguchi

We construct a manifestly covariant and coordinate-free plane-wave representation of scalar two-point functions in $d$-dimensional anti-de Sitter spacetime. The construction is based on a new class of holomorphic plane waves defined…

高能物理 - 理论 · 物理学 2026-03-16 Ugo Moschella

We compute the Hamiltonian for spherically symmetric scalar field collapse in Einstein-Gauss-Bonnet gravity in D dimensions using slicings that are regular across future horizons. We first reduce the Lagrangian to two dimensions using…

广义相对论与量子宇宙学 · 物理学 2015-05-30 T. Taves , C. D. Leonard , G. Kunstatter , R. B. Mann

The holographic dual of a gravitational theory around the de Sitter background is argued to be a Euclidean conformal gravity theory in one fewer dimensions. The measure for the holographic theory naturally includes a sum over topologies as…

高能物理 - 理论 · 物理学 2016-01-27 Atreya Chatterjee , David A. Lowe

In a conformal field theory, two and three-point functions of scalar operators and conserved currents are completely determined, up to constants, by conformal invariance. The expressions for these correlators in Euclidean signature are long…

高能物理 - 理论 · 物理学 2020-02-19 Teresa Bautista , Hadi Godazgar

We study the properties of the holographic CFT dual to Gauss-Bonnet gravity in general $D \ge 5$ dimensions. We establish the AdS/CFT dictionary and in particular relate the couplings of the gravitational theory to the universal couplings…

高能物理 - 理论 · 物理学 2010-06-01 Alex Buchel , Jorge Escobedo , Robert C. Myers , Miguel F. Paulos , Aninda Sinha , Michael Smolkin

We discuss the two-dimensional dilaton gravity with a scalar field as the source matter. The coupling between the gravity and the scalar, massless, field is presented in an unusual form. We work out two examples of these couplings and…

广义相对论与量子宇宙学 · 物理学 2009-10-31 M. Alves , V. B. Bezerra

In the present work we considered Galilean conformal algebras (GCA), which arises as a contraction relativistic conformal algebras ($x_i\rightarrow \epsilon x_i$, $t\rightarrow t$, $\epsilon \rightarrow 0$). We can use the Galilean…

高能物理 - 理论 · 物理学 2015-05-27 M. R. Setare , V. Kamali

We investigate the non-Gaussianity of primordial cosmological perturbations using holographic methods. In particular, we derive holographic formulae that relate all cosmological 3-point correlation functions, including both scalar and…

高能物理 - 理论 · 物理学 2011-07-01 Paul McFadden , Kostas Skenderis

In this paper, we use the metric coefficients and the equation of motion in the 2nd post-Newtonian approximation in scalar-tensor theory including intermediate range gravity to derive the deflection of light and compare it with previous…

天体物理学 · 物理学 2009-11-13 Peng Dong , Wei-Tou Ni

We consider the modular Hamiltonian associated to standard subspaces for a free scalar field in a globally hyperbolic spacetime in an arbitrary Gaussian state. We show how the modular Hamiltonian is related to the two-point function of the…

数学物理 · 物理学 2025-02-25 Markus B. Fröb