12 citations · 37 across the 12 of their papers we have counts for
13 papers
Renormalized tropical field theory
Paul-Hermann Balduf, Erik Panzer
We introduce tropical scalar field theory as a model for renormalizable quantum field theory, and examine in detail the case of quartic self-interaction and internal symmetr…
Statistics and asymptotics of subdivergence-free Feynman integrals in theory
Paul-Hermann Balduf, Kimia Shaban, Johannes Thürigen
Recent algorithmic improvements have made it possible to evaluate subdivergence-free (=primitive=skeleton) Feynman integrals in theory numerically up to 18 loops. By now, all…
The Topological form is the Pfaffian form
Paul-Hermann Balduf, Simone Hu
For a given graph , Budzik, Gaiotto, Kulp, Wang, Williams, Wu, Yu, and the first author studied a ''topological'' differential form , which expresses violations of BRST-clo…
Ladders and rainbows in Minimal Subtraction
Paul-Hermann Balduf
In dimensional regularization with , the minimal subtraction (MS) scheme is characterized by counterterms that only consist of singular terms in . We develop a general…
Primitive asymptotics in vector theory
Paul-Hermann Balduf, Johannes Thürigen
A longstanding conjecture in theory is that primitive graphs dominate the beta function asymptotically at large loop order in the minimal-subtraction scheme. Here we invest…
Combinatorial proof of a Non-Renormalization Theorem
Paul-Hermann Balduf, Davide Gaiotto
We provide a direct combinatorial proof of a Feynman graph identity which implies a wide generalization of a formality theorem by Kontsevich. For a Feynman graph , we associate…
Predicting Feynman periods in -theory
Paul-Hermann Balduf, Kimia Shaban
We present efficient data-driven approaches to predict Feynman periods in -theory from properties of the underlying Feynman graphs. We find that the numbers of cuts and cycles…
Statistics of Feynman amplitudes in -theory
Paul-Hermann Balduf
The amplitude of subdivergence-free logarithmically divergent Feynman graphs in -theory in 4 spacetime dimensions is given by a single number, the Feynman period. We numerical…
Tubings, chord diagrams, and Dyson--Schwinger equations
Paul-Hermann Balduf, Amelia Cantwell, Kurusch Ebrahimi-Fard +3
We give series solutions to single insertion place propagator-type systems of Dyson--Schwinger equations using binary tubings of rooted trees. These solutions are combinatorially t…
Dyson-Schwinger Equations in Minimal Subtraction
Paul-Hermann Balduf
We compare the solutions of one-scale Dyson-Schwinger equations in the Minimal subtraction (MS) scheme to the solutions in kinematic (MOM) renormalization schemes. We establish tha…
Propagator-cancelling scalar fields
Paul-Hermann Balduf
We examine a large class of scalar quantum field theories where vertices are able to cancel adjacent propagators. These theories are obtained as diffeomorphisms of the field variab…
Perturbation theory of transformed quantum fields
Paul-Hermann Balduf
We consider a scalar quantum field with arbitrary polynomial self-interaction in perturbation theory. If the field variable is repaced by a local diffeomorphism $ϕ(x) = ρ(x…
Triple-gluon and quark-gluon vertex from lattice QCD in Landau gauge
Andre Sternbeck, Paul-Hermann Balduf, Ayse Kızılersu +4
We report on preliminary results for the triple-gluon and the quark-gluon vertex in Landau gauge. Our results are based on two-flavor and quenched lattice QCD calculations for diff…