A formalism for the renormalization procedure
量子代数
2007-05-23 v1 数学物理
math.MP
摘要
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 algebra structure on the space of global sections of the de Rham complex of this D-module. Given a Maurer-Cartan element in this algebra, we construct a deformation of the OPE-algebra, which is exactly the desired renormalization.
引用
@article{arxiv.math/0312219,
title = {A formalism for the renormalization procedure},
author = {Dmitry E. Tamarkin},
journal= {arXiv preprint arXiv:math/0312219},
year = {2007}
}