Paul-Hermann Balduf

activity

20242026

collaborators

6 papers

hep-th2026

Primitive asymptotics in $I ¨ ^{4}$ vector theory

Paul-Hermann Balduf, Johannes ThÃ¼rigen

A longstanding conjecture in $I ¨ _{4}^{4}$ theory is that primitive graphs dominate the beta function asymptotically at large loop order in the minimal-subtraction scheme. Here we inves…

math-ph2025

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 $O (N)$ symmetr…

hep-th2025

Statistics and asymptotics of subdivergence-free Feynman integrals in $I ¨ ^{4}$ theory

Paul-Hermann Balduf, Kimia Shaban, Johannes ThÃ¼rigen

Recent algorithmic improvements have made it possible to evaluate subdivergence-free (=primitive=skeleton) Feynman integrals in $I ¨ ^{4}$ theory numerically up to 18 loops. By now, al…

hep-th2025

Ladders and rainbows in Minimal Subtraction

Paul-Hermann Balduf

In dimensional regularization with $D = D_{0} - 2 I^µ$ , the minimal subtraction (MS) scheme is characterized by counterterms that only consist of singular terms in $I^µ$ . We develop a gener…

math-ph2025

The Topological form is the Pfaffian form

Paul-Hermann Balduf, Simone Hu

For a given graph $G$ , Budzik, Gaiotto, Kulp, Wang, Williams, Wu, Yu, and the first author studied a ''topological'' differential form $I^\pm_{G}$ , which expresses violations of BRST-cl…

math-ph2024

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 $I^$ , we associate…