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 THE SUPPRESSION OF πNN(1535) COUPLING IN QCD

1998 ◽  
Vol 13 (34) ◽  
pp. 2763-2770 ◽  
Author(s):  
SHI-LIN ZHU
Keyword(s):  
Correlation Function ◽  
Excited States ◽  
Sum Rules ◽  
Qcd Sum Rules ◽  
Borel Transform ◽  
Point Correlation ◽  
Point Correlation Function ◽  
The Continuum

The lightcone QCD sum rules are employed to calculate the πNN(1535) coupling gπNN*.We study the two-point correlation function of two nucleon currents sandwiched between the vacuum and the pion state. The contribution from the excited states and the continuum is subtracted from the double Borel transform with respect to the nucleon and N(1535) momenta, [Formula: see text]. Our calculation shows that the πNN(1535) coupling is strongly suppressed.

scholarly journals QCD sum rules with two-point correlation function

2000 ◽  
Vol 670 (1-4) ◽  
pp. 64-67
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 The semi-leptonic form factors of $$\Lambda _{b}\rightarrow \Lambda _{c}$$ and $$\Xi _{b}\rightarrow \Xi _{c}$$ in QCD sum rules

2020 ◽  
Vol 80 (12) ◽  
Author(s):  
Zhen-Xing Zhao ◽  
Run-Hui Li ◽  
Yue-Long Shen ◽  
Yu-Ji Shi ◽  
Yan-Sheng Yang
Keyword(s):  
Correlation Function ◽  
Lattice Qcd ◽  
Sum Rules ◽  
Form Factors ◽  
Leading Order ◽  
Qcd Sum Rules ◽  
Point Correlation ◽  
Point Correlation Function

AbstractIn this work, the full leading order results of the form factors for $$\Xi _{b}\rightarrow \Xi _{c}$$ Ξ b → Ξ c and $$\Lambda _{b}\rightarrow \Lambda _{c}$$ Λ b → Λ c are obtained in QCD sum rules. Contributions from up to dimension-5 have been considered. For completeness, we also study the two-point correlation function to obtain the pole residues of $$\Xi _{Q}$$ Ξ Q and $$\Lambda _{Q}$$ Λ Q , and higher accuracy is achieved. For the three-point correlation function, since stable Borel regions cannot be found, about $$20\%$$ 20 % uncertainties are introduced for the form factors of $$\Xi _{b}\rightarrow \Xi _{c}$$ Ξ b → Ξ c and $$\Lambda _{b}\rightarrow \Lambda _{c}$$ Λ b → Λ c . Our results for the form factors are consistent with those of the lattice QCD within errors.

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 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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