An algebraic Birkhoff decomposition for

Description

An algebraic Birkhoff decomposition for the continuous renormalization group P. Martinetti Universita di Roma Tor Vergata and CMTP Seminaire CALIN, LIPN Paris 13, 8th February 2011

• birkhoff decomposition


• algebraic birkhoff decomposition


• continuous renormalization


• co ?


• hopf algebras


• co ∆ ??


• birkhoff decomposition ?

Sujets

• Renormalization group
• maths

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 10
• Langue: English

Extrait

An algebraic Birkhoff decomposition for the continuous renormalization group

P. Martinetti

Universit`adiRoma Tor Vergata and CMTP

Se´minaireCALIN,LIPNParis13, 8 th February 2011

What is the algebraic (geometric) structure underlying renormalization?

I Perturbative renormalization in qft is a Birkhoff decomposition → Hopf algebra of Feynman diagrams.( Connes-Kreimer 2000)

I Exact renormalization is an algebraic Birkhoff decomposition → Hopf algebra of decorated rooted trees.