Chain relations of reduced distribution functions and their associated correlation functions

1998 ◽  
Vol 108 (2) ◽  
pp. 706-714 ◽  
Author(s):  
Saman Alavi ◽  
G. W. Wei ◽  
R. F. Snider
Keyword(s):  
Correlation Functions ◽  
Distribution Functions ◽  
Reduced Distribution Functions

scholarly journals QCD Factorization and PDFs from Lattice QCD Calculation

2015 ◽  
Vol 37 ◽  
pp. 1560041 ◽  
Author(s):  
Yan-Qing Ma ◽  
Jian-Wei Qiu
Keyword(s):  
Euclidean Space ◽  
Minkowski Space ◽  
Lattice Qcd ◽  
Correlation Functions ◽  
Parton Distribution ◽  
Distribution Functions ◽  
Matrix Elements ◽  
Parton Distribution Functions ◽  
Qcd Factorization ◽  
The Matrix

In this talk, we review a QCD factorization based approach to extract parton distribution and correlation functions from lattice QCD calculation of single hadron matrix elements of quark-gluon operators. We argue that although the lattice QCD calculations are done in the Euclidean space, the nonperturbative collinear behavior of the matrix elements are the same as that in the Minkowski space, and could be systematically factorized into parton distribution functions with infrared safe matching coefficients. The matching coefficients can be calculated perturbatively by applying the factorization formalism on to asymptotic partonic states.

scholarly journals TRANSPORT EQUATIONS FROM LIOUVILLE EQUATIONS FOR FRACTIONAL SYSTEMS

2006 ◽  
Vol 20 (03) ◽  
pp. 341-353 ◽  
Author(s):  
VASILY E. TARASOV
Keyword(s):  
Transport Equation ◽  
Fractional Power ◽  
Distribution Functions ◽  
Fractional Dimension ◽  
Fractional Systems ◽  
Dimension Space ◽  
Bogoliubov Equations ◽  
Reduced Distribution Functions ◽  
Gasdynamic Equations ◽  
Generalized Transport Equation

We consider dynamical systems that are described by fractional power of coordinates and momenta. The fractional powers can be considered as a convenient way to describe systems in the fractional dimension space. For the usual space the fractional systems are non-Hamiltonian. Generalized transport equation is derived from Liouville and Bogoliubov equations for fractional systems. Fractional generalization of average values and reduced distribution functions are defined. Gasdynamic equations for fractional systems are derived from the generalized transport equation.

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