2 papers
math-ph2025
Perturbations vs deformations
Maksim Gritskov, Andrey Losev
In the first part of the paper we define a perturbative (pre-formal) geometry and formulate a theorem on the relation between the construction of a perturbative neighborhood of aff…
math-ph2025
Beta function without UV divergences
Maxim Gritskov, Andrey Losev
In this paper, we construct the beta function in the functorial formulation of two-dimensional quantum field theories (FQFT). A key feature of this approach is the absence of ultra…