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math.QA2018★ 23 cited
Multiple zeta values in deformation quantization
Peter Banks, Erik Panzer, Brent Pym
Kontsevich's 1997 formula for the deformation quantization of Poisson brackets is a Feynman expansion involving volume integrals over moduli spaces of marked disks. We develop a sy…
math.QA2012★ 26 cited
Hopf algebraic Renormalization of Kreimer's toy model
Erik Panzer
This masters thesis reviews the algebraic formulation of renormalization using Hopf algebras as pioneered by Dirk Kreimer and applies it to a toy model of quantum field theory give…