44 citations · 303 across the 36 of their papers we have counts for
38 papers
The Bałaban variational problem in the non-linear sigma model
Wojciech Dybalski, Alexander Stottmeister, Yoh Tanimoto
The minimization of the action of a QFT with a constraint dictated by the block averaging procedure is an important part of Bałaban's approach to renormalization. It is particularl…
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…
Lattice Green functions for pedestrians: Exponential decay
Wojciech Dybalski, Alexander Stottmeister, Yoh Tanimoto
The exponential decay of lattice Green functions is one of the main technical ingredients of the Bałaban's approach to renormalization. We give here a self-contained proof, whose v…
Asymptotic Completeness in a Class of Massive Wedge-Local Quantum Field Theories in any Dimension
Maximilian Duell, Wojciech Dybalski
A recently developed n-particle scattering theory for wedge-local quantum field theories is applied to a class of models described and constructed by Grosse, Lechner, Buchholz, and…
Interacting massless infraparticles in 1+1 dimensions
Wojciech Dybalski, Jens Mund
The Buchholz' scattering theory of waves in two dimensional massless models suggests a natural definition of a scattering amplitude. We compute such a scattering amplitude for char…
Local normality of infravacua and relative normalizers for relativistic systems
Bartosz Biadasiewicz, Wojciech Dybalski
We revisit the problem of local normality of Kraus-Polley-Reents infravacuum representations and provide a straightforward proof based on the Araki-Yamagami criterion. We apply thi…