Krzysztof Bozek (K)
I would like to present a Monte Carlo based method that solves the non-linear Balitsky–Kovchegov (BK) equation in the integral form. The approach is based on reformulation of the BK equation as a system of linear integral equations through the Newton–Kantorovich transformation. The system is then solved through a Markov Chain Monte Carlo (MCMC) algorithm. Our results agree at the level of 0.1% with the solution obtained with the publicly available program BKSolver. Our approach can be generalized to more dimensions therefore offers possibility to solve large class of non-linear integral equations via Monte Carlo method. Furthermore it opens the possibility to construct a MC generator for the BK equation. I will discuss efficiency of our method and possible applications.
Krzysztof Bozek (K) Dr Krzysztof Kutak (Instytut Fizyki Jadrowej Polskiej Akademii Nauk) Wiesiek Placzek (Jagiellonian University (PL))