Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Duch Paweł"'
Autor:
Duch, Paweł
The Gross-Neveu model is a quantum field theory model of Dirac fermions in two dimensions with a quartic interaction term. Like Yang-Mills theory in four dimensions, the model is scaling critical (i.e. renormalizable but not super-renormalizable) and
Externí odkaz:
http://arxiv.org/abs/2403.18562
We give a simple and self-contained construction of of the $P(\Phi)$ Euclidean Quantum Field Theory in the plane and verify the Osterwalder-Schrader axioms: translational and rotational invariance, reflection positivity and regularity. In the interme
Externí odkaz:
http://arxiv.org/abs/2311.04137
Autor:
Duch, Paweł, Dybalski, Wojciech
The infrared problem in quantum electrodynamics consists of intriguing difficulties in scattering theory appearing at large scales and low energies. Although they can be circumvented using ad hoc recipes, such as the inclusive collision cross section
Externí odkaz:
http://arxiv.org/abs/2307.06114
We present a construction of the fractional $\Phi^4$ Euclidean quantum field theory on $\mathbb{R}^3$ in the full subcritical regime via parabolic stochastic quantisation. Our approach is based on the use of a truncated flow equation for the effectiv
Externí odkaz:
http://arxiv.org/abs/2303.18112
Autor:
Jakubczyk Tomasz, Pacuski Wojciech, Duch Paweł, Godlewski Piotr, Golnik Andrzej, Kruse Carsten, Hommel Detlef, Gaj Jan
Publikováno v:
Open Physics, Vol 9, Iss 2, Pp 428-431 (2011)
Externí odkaz:
https://doaj.org/article/b971f49557da496e94f248350a2b1b7a
Autor:
Duch, Paweł
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 regime. It is based on the Wilsonian renormalization group theory and
Externí odkaz:
http://arxiv.org/abs/2201.05031
Autor:
Duch, Paweł
We prove universality of a macroscopic behavior of solutions of a large class of semi-linear parabolic SPDEs on $\mathbb{R}_+\times\mathbb{T}$ with fractional Laplacian $(-\Delta)^{\sigma/2}$, additive noise and polynomial non-linearity, where $\math
Externí odkaz:
http://arxiv.org/abs/2109.11380
Publikováno v:
Eur. Phys. J. C (2021) 81:131
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 regularization techniques employed. The novel aspect of our approach is that no re
Externí odkaz:
http://arxiv.org/abs/2011.12675
Autor:
Duch, Paweł
Publikováno v:
Rev. Math. Phys. 33, 2150032 (2021)
We propose a mathematically rigorous construction of the scattering matrix and the interacting fields in models of relativistic perturbative quantum field theory with massless fields and long-range interactions. We consider quantum electrodynamics an
Externí odkaz:
http://arxiv.org/abs/1906.00940
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