Speaker
Mr
Lukas Mizisin
(JINR Dubna, Pavol Josef Safarik University in Kosice)
Description
Universal quantities (anomalous dimensions and critical exponents) of directed bond percolation are calculated by the renormalization group method in higher order perturbation theory. We put forward a renormalization procedure for a numerical calculation in which the quantities are expressed in terms of irreducible renormalized Feynman diagrams. The procedure is based on the perturbative renormalization scheme in formally small parameter $\epsilon$, where $\epsilon = 4-d$ denotes a deviation from an upper critical dimension. Numerical calculation of integrals has been performed using Vegas algorithm from CUBA library. Main resulst of our approach is a calculation of the dynamical exponent $z$ and the critical exponent $\eta$ to the third order in $\epsilon$ expansion.
Primary author
Mr
Lukas Mizisin
(JINR Dubna, Pavol Josef Safarik University in Kosice)
Co-authors
Dr
Michal Danco
(JINR Dubna)
Prof.
Michal Hnatic
(JINR)
Dr
Tomas Lucivjansky
(Pavol Josef Safarik University in Kosice)
