scholarly journals Disentangling interacting dark energy cosmologies with the three-point correlation function

2014 ◽  
Vol 443 (4) ◽  
pp. 2874-2886 ◽  
Author(s):  
Michele Moresco ◽  
Federico Marulli ◽  
Marco Baldi ◽  
Lauro Moscardini ◽  
Andrea Cimatti
Keyword(s):  
Correlation Function ◽  
Dark Energy ◽  
Interacting Dark Energy ◽  
Point Correlation ◽  
Point Correlation Function

scholarly journals Testing the efficiency of estimators of the two-point correlation function

2019 ◽  
Author(s):  
Lucas Bertoncello de Oliveira ◽  
Flavia Sobreira Sanchez
Keyword(s):  
Correlation Function ◽  
Dark Energy ◽  
Energy Density ◽  
Correlation Functions ◽  
Cosmological Parameters ◽  
Precision Measurements ◽  
Total Energy Density ◽  
Modern Cosmology ◽  
Point Correlation ◽  
Point Correlation Function

Since the discovery of the Universe’s expansion in 1998, studying its cause has been one of the main interests in cosmology. Today the simplest model that describes our Universe is known as LCDM where dark energy dominates 70% of the Universe’s total energy density. The discovery of 1998 motivated great advances in technology and the construction of telescopes, enabling modern cosmology to reach a “era of precision measurements”. Studying the distribution of galaxies in the observed Universe is a powerful tool to understanding our Universe’s dynamics and correlation functions have long since been used to study these distributions. In this project I study concepts of modern cosmology and statistics in order to be introduced to the two-point correlation function estimated from a catalog of galaxies to test cosmological models, such as the LCDM. The first part of this study was to compare different estimators of the two-point correlation function. In the second part, using the measurements of the first part, I will constrain cosmological parameters that dictate the dynamics of our Universe.

scholarly journals From correlation functions to event shapes in QCD

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
D. Chicherin ◽  
J. M. Henn ◽  
E. Sokatchev ◽  
K. Yan
Keyword(s):  
Correlation Function ◽  
Correlation Functions ◽  
Event Shape ◽  
Proof Of Concept ◽  
Yang Mills ◽  
Point Correlation ◽  
Point Correlation Function ◽  
Event Shapes ◽  
A Charge ◽  
Conserved Currents

Abstract We present a method for calculating event shapes in QCD based on correlation functions of conserved currents. The method has been previously applied to the maximally supersymmetric Yang-Mills theory, but we demonstrate that supersymmetry is not essential. As a proof of concept, we consider the simplest example of a charge-charge correlation at one loop (leading order). We compute the correlation function of four electromagnetic currents and explain in detail the steps needed to extract the event shape from it. The result is compared to the standard amplitude calculation. The explicit four-point correlation function may also be of interest for the CFT community.

scholarly journals A two-point correlation function for Galactic halo stars

2011 ◽  
Vol 417 (3) ◽  
pp. 2206-2215 ◽  
Author(s):  
A. P. Cooper ◽  
S. Cole ◽  
C. S. Frenk ◽  
A. Helmi
Keyword(s):  
Correlation Function ◽  
Galactic Halo ◽  
Halo Stars ◽  
Point Correlation ◽  
Point Correlation Function

scholarly journals TOWARDS THE PROOF OF AGT-W RELATION: TODA 3-POINT FUNCTION AND ${\mathcal W}_{1+\infty}$ ALGEBRA

2013 ◽  
Vol 21 ◽  
pp. 138-139
Author(s):  
SHOTARO SHIBA
Keyword(s):  
Field Theory ◽  
Correlation Function ◽  
Point Function ◽  
Gauge Groups ◽  
Promising Direction ◽  
Quiver Gauge Theory ◽  
Conformal Theory ◽  
Conformal Field ◽  
Point Correlation ◽  
Point Correlation Function

The AGT-W relation is a conjecture of the nontrivial duality between 4-dim quiver gauge theory and 2-dim conformal field theory. We verify a part of this conjecture for all the cases of quiver gauge groups by studying on the property of 3-point correlation function of conformal theory. We also mention the relation to [Formula: see text] algebra as one of the promising direction towards the proof of the remaining part.

scholarly journals Two-point correlation function with a pion in QCD sum rules

1999 ◽  
Vol 60 (3) ◽  
Author(s):  
Hungchong Kim ◽  
Su Houng Lee ◽  
Makoto Oka
Keyword(s):  
Correlation Function ◽  
Sum Rules ◽  
Qcd Sum Rules ◽  
Point Correlation ◽  
Point Correlation Function

scholarly journals A general treatment of snow microstructure exemplified by an improved relation for the thermal conductivity

2012 ◽  
Vol 6 (6) ◽  
pp. 4673-4693 ◽  
Author(s):  
H. Löwe ◽  
F. Riche ◽  
M. Schneebeli
Keyword(s):  
Thermal Conductivity ◽  
Correlation Function ◽  
Pore Space ◽  
Anisotropy Parameter ◽  
Micro Computed Tomography ◽  
Data Set ◽  
Microstructural Parameters ◽  
Point Correlation ◽  
Point Correlation Function ◽  
Snow Microstructure

Abstract. Finding relevant microstructural parameters beyond the density is a longstanding problem which hinders the formulation of accurate parametrizations of physical properties of snow. Towards a remedy we address the effective thermal conductivity tensor of snow via known anisotropic, second-order bounds. The bound provides an explicit expression for the thermal conductivity and predicts the relevance of a microstructural anisotropy parameter Q which is given by an integral over the two-point correlation function and unambiguously defined for arbitrary snow structures. For validation we compiled a comprehensive data set of 167 snow samples. The set comprises individual samples of various snow types and entire time series of metamorphism experiments under isothermal and temperature gradient conditions. All samples were digitally reconstructed by micro-computed tomography to perform microstructure-based simulations of heat transport. The incorporation of anisotropy via Q considerably reduces the root mean square error over the usual density-based parametrization. The systematic quantification of anisotropy via the two-point correlation function suggests a generalizable route to incorporate microstructure into snowpack models. We indicate the inter-relation of the conductivity to other properties and outline a potential impact of Q on dielectric constant, permeability and adsorption rate of diffusing species in the pore space.

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