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math-ph2007
Convolution product construction of interactions in probabilistic physical models
Herintsitohaina Ratsimbarison
This paper aims to give a probabilistic construction of interactions which may be relevant for building physical theories such as interacting quantum field theories. We start with…
math-ph2006★ 1 cited
Some convolution products in Quantum Field Theory
Herintsitohaina Ratsimbarison
This paper aims to show constructions of scale dependence and interaction on some probabilistic models which may be revelant for renormalization theory in Quantum Field Theory. We…
math-ph2005
Feynman diagrams, Hopf algebras and renormalization
Herintsitohaina Ratsimbarison
This paper gives a review of Connes-Kreimer formulation of perturbative renormalization in Quantum Field Theory. We begin with the derivation of the Feynman calculus, the Hopf alge…