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pro vyhledávání: '"Abouzeid M"'
Autor:
Shalaby, Abouzeid M.
The perturbation series for the renormalization group functions of the $O(N)-$symmetric $\phi^4$ field theory are divergent but asymptotic. They are usually followed by Resummation calculations to extract reliable results. Although the same features
Externí odkaz:
http://arxiv.org/abs/2409.00271
Autor:
Shalaby, Abouzeid M.
The asymptotic strong-coupling behavior as well as the exact critical exponents from scalar field theory even in the simplest case of $1+1$ dimensions have not been obtained yet. Hagen Kleinert has linked both critical exponents and strong coupling p
Externí odkaz:
http://arxiv.org/abs/2312.08795
Autor:
Shalaby, Abouzeid M.
In previous articles, we showed that, based on large-order asymptotic behavior, one can approximate a divergent series via the parametrization of a specific hypergeometric approximant. The analytical continuation is then carried out through a Mellin-
Externí odkaz:
http://arxiv.org/abs/2210.04575
Autor:
Ouaf, Mahmoud E.1 (AUTHOR) mahmoudelhassan@edu.asu.edu.eg, Abouzeid, M. Y.1 (AUTHOR)
Publikováno v:
Scientific Reports. 1/18/2024, Vol. 13 Issue 1, p1-13. 13p.
Autor:
Shalaby, Abouzeid M.
Publikováno v:
Phys. Rev. D 102, 105017 (2020)
In this work, we use a specific parameterization of the hypergeometric approximants ( the one by Mera et.al in Phys. Rev. Let. 115, 143001 (2015)) to approximate the seven-loop critical exponent $\nu$ for the $O(2)$-symmetric $\phi^4$ model. Our pred
Externí odkaz:
http://arxiv.org/abs/2010.13097
Autor:
Shalaby, Abouzeid M.
We extract the $\varepsilon$-expansion from the recently obtained seven-loop $g$-expansion for the renormalization group functions of the $O(N)$-symmetric model. The different series obtained for the critical exponents $\nu,\ \omega$ and $\eta$ have
Externí odkaz:
http://arxiv.org/abs/2005.12714
Autor:
Shalaby, Abouzeid M.
Publikováno v:
Phys. Rev. D 101, 105006 (2020)
In this work, we show that one can select different types of Hypergeometric approximants for the resummation of divergent series with different large-order growth factors. Being of $n!$ growth factor, the divergent series for the $\varepsilon$-expans
Externí odkaz:
http://arxiv.org/abs/2004.08711
Autor:
Shalaby, Abouzeid M.
Publikováno v:
Results in Physics 19 (2020) 103376
Without Borel or Pad$\acute{e}$ techniques, we show that for a divergent series with $n!$ large-order growth factor, the set of Hypergeometric series $_{k+1}F_{k-1}$ represents suitable approximants for which there exist no free parameters. The diver
Externí odkaz:
http://arxiv.org/abs/2002.05110
Publikováno v:
In Annals of Physics October 2023 457