A formalism for the renormalization procedure
Tamarkin, Dmitry E.
arXiv, 0312219 / Harvested from arXiv
Text on arXiv
We describe a formalism underlying the renormalization procedure and Batalin-Vilkoviski formalism. In the framework of this formalism, we give a mathematical definition of OPE-algebra and describe an additional natural structure which produces a *-Lie algebra structure on the (cohomologically shifted) D-module of observables, whence an $L_\infty$ algebra structure on the space of global sections of the de Rham complex of this D-module. Given a Maurer-Cartan element in this $L_\infty$ algebra, we construct a deformation of the OPE-algebra, which is exactly the desired renormalization.
Publié le : 2003-12-10
Classification:  Mathematics - Quantum Algebra,  Mathematical Physics 
@article{0312219,
     author = {Tamarkin, Dmitry E.},
     title = {A formalism for the renormalization procedure},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0312219}
}

Tamarkin, Dmitry E. A formalism for the renormalization procedure. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0312219/