Renormalization group solution of the Chutes & Ladder model

Renormalization Group Renormalization Group

4 Integrable Renormalization I : the Ladder Case

In recent years a Hopf algebraic structure underlying the process of renormalization in quantum field theory was found. It led to a Birkhoff factorization for (regularized) Hopf algebra characters, i.e. for Feynman rules. In this work we would like to show that this Birkhoff factorization finds its natural formulation in terms of a classical r-matrix, coming from a Rota-Baxter structure underly...

Integrable Renormalization I: the Ladder Case

In recent years a Hopf algebraic structure underlying the process of renormalization in quantum field theory was found. It led to a Birkhoff factorization for (regularized) Hopf algebra characters, i.e. for Feynman rules. In this work we would like to show that this Birkhoff factorization finds its natural formulation in terms of a classical r-matrix, coming from a Rota-Baxter structure underly...

The Hierarchical Model and the Renormalization Group

The models tha t we consider are 1-dimensionM ferromagnets with a ra ther peculiar, nontranslat ionMly invar iant interact ion [1-4]. I t will be seen tha t the special form of this interact ion leads to a ra ther simple formulat ion of the renormalizat ion group equation. Apar t f rom the lack of t ranslat ion invariance these models are supposed to behave in m a n y respects like ordinary 1-d...

the use of appropriate madm model for ranking the vendors of mci equipments using fuzzy approach

abstract nowadays, the science of decision making has been paid to more attention due to the complexity of the problems of suppliers selection. as known, one of the efficient tools in economic and human resources development is the extension of communication networks in developing countries. so, the proper selection of suppliers of tc equipments is of concern very much. in this study, a ...