21 Pages
English
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An algebraic Birkhoff decomposition for

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21 Pages
English

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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 ?


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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.