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pro vyhledávání: '"Chankowski, P."'
We apply the thermal (imaginary time) perturbative expansion to the relevant effective field theory to compute characteristics of the phase transition to the ordered state which can occur at low temperatures in the gas of (nonrelativistic) spin 1/2 f
Externí odkaz:
http://arxiv.org/abs/2309.14782
Recently we have computed the third order corrections to the ground state energy of the arbitrarily polarized diluted gas of spin 1/2 fermions interacting through a spin-independent repulsive two-body potential. Here we extend this result to the gas
Externí odkaz:
http://arxiv.org/abs/2303.09921
Publikováno v:
Rep. Math. Phys. 92, 227-241 (2023)
According to the `folk knowledge', the Hartree-Fock (H-F) approximation applied to the Hubbard model becomes exact in the limit of small coupling $U$ (the smaller $|U|$, the better is the H-F approximation). In \cite{BP} Bach and Poelchau have substa
Externí odkaz:
http://arxiv.org/abs/2209.02361
Publikováno v:
Acta Phys. Pol. B53, 9-A4 (2022)
We present the results of the computation of the third order corrections to the ground state energy of the diluted polarized gas of nonrelativistic spin $1/2$ fermions interacting through a spin-independent repulsive two-body potential. The correctio
Externí odkaz:
http://arxiv.org/abs/2206.05076
Autor:
Chankowski, Piotr, Wojtkiewicz, Jacek
Publikováno v:
Acta Phys. Pol. B 53, 1-A3 (2022)
We report the results of the computation of the order $(k_{\rm F}a_0)^2$ correction, where $k_{\rm F}=3\pi^2\rho$ is the Fermi wave vector and $a_0$ the $s$-wave scattering length of the repulsive interaction, to the ground-state energy of a mixture
Externí odkaz:
http://arxiv.org/abs/2111.14927
Autor:
Chankowski, Piotr, Wojtkiewicz, Jacek
The effective field theory approach simplifies the perturbative computation of the ground state energy of the diluted gas of fermions allowing in the case of the unpolarized system to easily re-derive the classic results up to the $(k_{\rm F}a_0)^2$
Externí odkaz:
http://arxiv.org/abs/2108.00793
Autor:
Stanisław Chankowski
Publikováno v:
Studia Philosophiae Christianae, Vol 58, Iss 2, Pp 109-128 (2022)
The purpose of the essay is to critically analyze the influence of J. Derrida’s deconstruction on David J. Gunkel’s book Deconstruction (MIT Press 2021). Gunkel’s handbook is aimed at making deconstruction a tool of critical thinking accessible
Externí odkaz:
https://doaj.org/article/8cc262d09fcd4a56aee7123a69bbf814
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We perform a systematic one-loop renormalization of a general renormalizable Yang-Mills theory coupled to scalars and fermions using a regularization scheme with a smooth momentum cutoff $\Lambda$ (implemented through an exponential damping factor).
Externí odkaz:
http://arxiv.org/abs/1608.02270
The momentum UV cutoff in Quantum Field Theory is usually treated as an auxiliary device allowing to obtain finite amplitudes satisfying all physical requirements. It is even absent (not explicit) in the most popular approach - the dimensional regula
Externí odkaz:
http://arxiv.org/abs/1608.01214