An algebraic Birkhoff decomposition for the continuous renormalization group
Girelli, F. ; Krajewski, T. ; Martinetti, P.
HAL, hal-00005105 / Harvested from HAL
Text on HAL
This paper aims at presenting the first steps towards a formulation of the Exact Renormalization Group Equation in the Hopf algebra setting of Connes and Kreimer. It mostly deals with some algebraic preliminaries allowing to formulate perturbative renormalization within the theory of differential equations. The relation between renormalization, formulated as a change of boundary condition for a differential equation, and an algebraic Birkhoff decomposition for rooted trees is explicited.
Publié le : 2004-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],  [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 
@article{hal-00005105,
     author = {Girelli, F. and Krajewski, T. and Martinetti, P.},
     title = {An algebraic Birkhoff decomposition for the continuous renormalization group},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00005105}
}

Girelli, F.; Krajewski, T.; Martinetti, P. An algebraic Birkhoff decomposition for the continuous renormalization group. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00005105/