A formalism for the renormalization procedure

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dc.creatorTamarkin, Dmitry E.
dc.date2003-12-10
dc.date.accessioned2026-07-07T05:03:46Z
dc.date.available2026-07-07T05:03:46Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0312219
dc.identifierhttp://arxiv.org/abs/math/0312219
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69553
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.titleA formalism for the renormalization procedure
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