30 citations · 30 across the 1 of their papers we have counts for
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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…
The number of master integrals as Euler characteristic
Thomas Bitoun, Christian Bogner, René Pascal Klausen +1
We give a brief introduction to a parametric approach for the derivation of shift relations between Feynman integrals and a result on the number of master integrals. The shift rela…
Lambert-W solves the noncommutative -model
Erik Panzer, Raimar Wulkenhaar
The closed Dyson-Schwinger equation for the 2-point function of the noncommutative -model is rearranged into the boundary value problem for a sectionally holomorphic functi…
Five-loop massless propagator integrals
Alessandro Georgoudis, Vasco Gonçalves, Erik Panzer +1
We develop a method to obtain -expansions of massless two-point integrals in position space, based on the constraints implied by symmetries of the asymptotic expansion of confor…