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math-ph2024
Combinatorial Dyson-Schwinger Equations of Quartic Matrix Field Theory
Alexander Hock, Johannes Thürigen
Matrix field theory is a combinatorially non-local field theory which has recently been found to be a non-trivial but solvable QFT example. To generalize such non-perturbative stru…
math-ph2021
Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs
Johannes Thürigen
It is well known that the mathematical structure underlying renormalization in perturbative quantum field theory is based on a Hopf algebra of Feynman diagrams. A precondition for…