12 citations · 37 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
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…