39 citations · 39 across the 1 of their papers we have counts for
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Semiclassical Trans-Series from the Perturbative Hopf-Algebraic Dyson-Schwinger Equations: QFT in 6 Dimensions
Michael Borinsky, Gerald V. Dunne, Max Meynig
We analyze the asymptotically free massless scalar quantum field theory in 6 dimensions, using resurgent asymptotic analysis to find the trans-series solutions which yield th…
Five loop renormalization of theory with applications to the Lee-Yang edge singularity and percolation theory
M. Borinsky, J. A. Gracey, M. V. Kompaniets +1
We apply the method of graphical functions that was recently extended to six dimensions for scalar theories, to theory and compute the function, the wave function anomalo…
Non-Perturbative Completion of Hopf-Algebraic Dyson-Schwinger Equations
Michael Borinsky, Gerald V. Dunne
For certain quantum field theories, the Kreimer-Connes Hopf-algebraic approach to renormalization reduces the Dyson-Schwinger equations to a system of non-linear ordinary different…
The Hopf algebra structure of the -operation
Robert Beekveldt, Michael Borinsky, Franz Herzog
We give a Hopf-algebraic formulation of the -operation, which is a canonical way to render UV and IR divergent Euclidean Feynman diagrams finite. Our analysis uncovers a close…
Graphs in perturbation theory: Algebraic structure and asymptotics
Michael Borinsky
This thesis provides an extension of the work of Dirk Kreimer and Alain Connes on the Hopf algebra structure of Feynman graphs and renormalization to general graphs. Additionally,…