Markov chain Mote Carlo solution of BK equation through Newton-Kantorovich method

Bibliographic description

punktacja MEiN [2013 A]: 40

title:	Markov chain Mote Carlo solution of BK equation through Newton-Kantorovich method
author:	Bożek Krzysztof, Kutak Krzysztof, Płaczek Wiesław
journal title:	The Journal of High Energy Physics
volume:	2013
issue:	7
date of publication :	2013
article ID:	97
ISSN:	1126-6708
eISSN:	1029-8479
DOI:	10.1007/JHEP07(2013)097
language:	English
journal language:	English
abstract in English:	We propose a new method for Monte Carlo solution of non-linear integral equations by combining the Newton-Kantorovich method for solving non-linear equations with the Markov Chain Monte Carlo (MCMC) method for solving linear equations. The Newton-Kantorovich method allows to express the non-linear equation as a system of the linear equations which then can be treated by the MCMC (random walk) algorithm. We apply this method to the Balitsky-Kovchegov (BK) equation describing evolution of gluon density at low x. Results of numerical computations show that the MCMC method is both precise and efficient. The presented algorithm may be particularly suited for solving more complicated and higher-dimensional non-linear integral equation, for which traditional methods become unfeasible.
keywords in English:	QCD phenomenology, Monte Carlo simulations
number of pulisher's sheets:	1
affiliation:	Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
type:	journal article
subtype:	academic paper