15 citations · 83 across the 13 of their papers we have counts for
13 papers
Construction of Gross-Neveu model using Polchinski flow equation
Paweł Duch
We develop a new method for solving the renormalization group flow equation, also known as the Polchinski equation, by formulating it as a well-posed infinite-dimensional partial d…
Infrared problem in quantum electrodynamics
Paweł Duch, Wojciech Dybalski
The infrared problem in quantum electrodynamics consists of intriguing difficulties in scattering theory appearing at large scales and low energies. Although they can be circumvent…
Renormalization of singular elliptic stochastic PDEs using flow equation
Paweł Duch
We develop a solution theory for singular elliptic stochastic PDEs with fractional Laplacian, additive white noise and cubic non-linearity. The method covers the whole sub-critical…
Flow equation approach to singular stochastic PDEs
Paweł Duch
We prove universality of a macroscopic behavior of solutions of a large class of semi-linear parabolic SPDEs on with fractional Laplacian $(-Δ)^{σ/2}…
Diphoton decay of the higgs from the Epstein--Glaser viewpoint
Pawel Duch, Michael Duetsch, Jose M. Gracia-Bondia
We revisit a nearly ten-year old controversy on the diphoton decay of the Higgs particle. To a large extent, the controversy turned around the respective merits of the regularizati…
Infrared problem in perturbative quantum field theory
Paweł Duch
We propose a mathematically rigorous construction of the scattering matrix and the interacting fields in models of relativistic perturbative quantum field theory with massless fiel…