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of 32
pro vyhledávání: '"Abouzeid M. Shalaby"'
Autor:
Abouzeid M. Shalaby
Publikováno v:
European Physical Journal C: Particles and Fields, Vol 81, Iss 1, Pp 1-13 (2021)
Abstract We extract the $$\varepsilon $$ ε -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 $$\nu ,\ \omega $$
Externí odkaz:
https://doaj.org/article/af35d423b47f4facbc9bf7f3f18b72d7
Autor:
Abouzeid M. Shalaby
Publikováno v:
Results in Physics, Vol 19, Iss , Pp 103376- (2020)
Without Borel or Padé techniques, we show that for a divergent series with n! large-order growth factor, the set of hypergeometric series pFp-2 represents suitable approximants. The divergent pFp-2 series are then resummed via their representation i
Externí odkaz:
https://doaj.org/article/d50fb51ddaf04bfaba04f07697179a93
Autor:
Abouzeid. M. Shalaby
Publikováno v:
Results in Physics, Vol 13, Iss , Pp - (2019)
We calculate the one loop effective potential for the class (-(iϕ)α) of PT-symmetric and non-Hermitian field theories in 0+1 space-time dimensions. To test the method, we showed that for the massless Hermitian ϕ4 theory, the method gives the exact
Externí odkaz:
https://doaj.org/article/bf01f2ca7f8947fc81ccc0297c5afb3e
Autor:
Abouzeid M. Shalaby
Publikováno v:
The European Physical Journal C. 81
We extract the $$\varepsilon $$ ε -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 $$\nu ,\ \omega $$ ν , ω a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3a22e02556fabed424391d9034e9a117
https://doi.org/10.1140/epjc/s10052-021-08884-5
https://doi.org/10.1140/epjc/s10052-021-08884-5
Autor:
Abouzeid M. Shalaby
Publikováno v:
Physical Review D. 102
In this work, we use a specific parametrization of the hypergeometric approximants [the one by Mera et al. in Phys. Rev. Let. 115, 143001 (2015)] to approximate the seven-loop critical exponent $\ensuremath{\nu}$ for the $O(2)$-symmetric ${\ensuremat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::25a2d3cd48063e93a22baf227f415a33
https://doi.org/10.1103/physrevd.102.105017
https://doi.org/10.1103/physrevd.102.105017
Autor:
Abouzeid M. Shalaby
Publikováno v:
Physical Review D. 101
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 $ϵ$ expansion of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::40b52151ab9e9d2668c740f63111b89f
https://doi.org/10.1103/physrevd.101.105006
https://doi.org/10.1103/physrevd.101.105006
Autor:
Abouzeid M. Shalaby
Publikováno v:
Results in Physics, Vol 13, Iss, Pp-(2019)
We calculate the one loop effective potential for the class ( - ( i ϕ ) α ) of PT -symmetric and non-Hermitian field theories in 0 + 1 space-time dimensions. To test the method, we showed that for the massless Hermitian ϕ 4 theory, the method give
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::da3ac5c46ffc192f496174c1bec96eb6
https://hdl.handle.net/10576/14871
https://hdl.handle.net/10576/14871
Autor:
Abouzeid M. Shalaby
We use the effective potential method to study the [Formula: see text]-symmetric [Formula: see text] field theory in [Formula: see text] space–time dimensions. For [Formula: see text], we obtained the first two energy levels which are real as well
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e3f43fd02978fdf475bf70d26f139fcf
https://hdl.handle.net/10576/14845
https://hdl.handle.net/10576/14845
Autor:
Abouzeid M. Shalaby
Publikováno v:
International Journal of Modern Physics A. 35:2050041
In PRL 115, 143001 (2015), H. Mera et al. developed a new simple but precise Hypergeometric Resummation technique. In this work, we suggest to obtain half of the parameters of the Hypergeometric function from the strong coupling expansion of the phys
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52f746c0971d6792e7db52546f4b2437
https://doi.org/10.1142/s0217751x20500414
https://doi.org/10.1142/s0217751x20500414
Autor:
Abouzeid M. Shalaby
Publikováno v:
Physical Review D. 96
In this work, we study the $\mathcal{P}\mathcal{T}$-symmetric ($i{\ensuremath{\phi}}^{3}$) theory using the effective action formalism. To test the accuracy of the used technique, we apply it first to the $\mathcal{P}\mathcal{T}$-symmetric ($\ensurem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3bae057b7d380e7358e6b0b9da05c898
https://doi.org/10.1103/physrevd.96.025015
https://doi.org/10.1103/physrevd.96.025015