1 citations · 1 across the 4 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2018
A mathematical perspective on the phenomenology of non-perturbative Quantum Field Theory
Ali Shojaei-Fard
This monograph aims to build some new mathematical structures originated from Dyson--Schwinger equations for the description of non-perturbative aspects of gauge field theories whe…
math-ph2010
Riemann-Hilbert Problem and Quantum Field Theory: Integrable Renormalization, Dyson-Schwinger Equations
Ali Shojaei-Fard
In the first purpose, we concentrate on the theory of quantum integrable systems underlying the Connes-Kreimer approach. We introduce a new family of Hamiltonian systems depended o…
math-ph2009★ 1 cited
Universal Hopf Algebra of Renormalization and Hopf Algebras of Rooted Trees
Ali Shojaei-Fard
In this paper we are going to find a rooted tree representation from universal Hopf algebra of renormalization (in Connes-Marcolli's approach in the study of renormalizable Quantum…