Asymptotic freedom, dimensional transmutation, and an infrared conformal fixed point for the -function potential in one-dimensional relativistic quantum mechanics MH Al-Hashimi, AM Shalaby, UJ Wiese Physical Review D 89 (12), 125023, 2014 | 27 | 2014 |
Critical exponents of the O(N)-symmetric model from the hypergeometric-Meijer resummation AM Shalaby The European Physical Journal C 81 (1), 1-13, 2021 | 26 | 2021 |
Possible treatment of the ghost states in the Lee-Wick standard model AM Shalaby Physical Review D—Particles, Fields, Gravitation, and Cosmology 80 (2), 025006, 2009 | 24 | 2009 |
Nonperturbative tests for asymptotic freedom in the -symmetric theory A Shalaby, SS Al-Thoyaib Physical Review D—Particles, Fields, Gravitation, and Cosmology 82 (8), 085013, 2010 | 22 | 2010 |
Precise critical exponents of the -symmetric quantum field model using hypergeometric-Meijer resummation AM Shalaby Physical Review D 101 (10), 105006, 2020 | 16 | 2020 |
Weak-coupling, strong-coupling and large-order parametrization of the hypergeometric-Meijer approximants AM Shalaby Results in Physics 19, 103376, 2020 | 14 | 2020 |
Majorana fermions in a box MH Al-Hashimi, AM Shalaby, UJ Wiese Physical Review D 95 (6), 065007, 2017 | 14 | 2017 |
Vacuum structure and -symmetry breaking of the non-Hermetian () theory AM Shalaby Physical Review D 96 (2), 025015, 2017 | 13 | 2017 |
Supersymmetric descendants of self-adjointly extended quantum mechanical Hamiltonians MH Al-Hashimi, M Salman, A Shalaby, UJ Wiese Annals of Physics 337, 1-24, 2013 | 12 | 2013 |
Effective field calculations of the energy spectrum of the -symmetric () potential AM Shalaby Physical Review D—Particles, Fields, Gravitation, and Cosmology 79 (6), 065017, 2009 | 12 | 2009 |
-point anomaly in view of the seven-loop hypergeometric resummation for the critical exponent of the model AM Shalaby Physical Review D 102 (10), 105017, 2020 | 11 | 2020 |
Extrapolating the precision of the hypergeometric resummation to strong couplings with application to the -symmetric field theory AM Shalaby International Journal of Modern Physics A 35 (08), 2050041, 2020 | 10 | 2020 |
Solution of the relativistic Schrödinger equation for the -Function potential in one dimension using cutoff regularization MH Al-Hashimi, AM Shalaby Physical Review D 92 (2), 025043, 2015 | 9 | 2015 |
Fate of accidental symmetries of the relativistic hydrogen atom in a spherical cavity MH Al-Hashimi, AM Shalaby, UJ Wiese Annals of Physics 362, 621-641, 2015 | 7 | 2015 |
Novel phase in the phase structure of the field theoretic model AM Shalaby Physical Review D—Particles, Fields, Gravitation, and Cosmology 76 (4), 041702, 2007 | 7 | 2007 |
Non-perturbative calculations for the effective potential of the PT symmetric and non-Hermitian (-gφ4) field theoretical model AM Shalaby The European Physical Journal C 50 (4), 999-1006, 2007 | 7 | 2007 |
Universal large-order asymptotic behavior of the strong-coupling and high-temperature series expansions AM Shalaby Physical Review D 105 (4), 045004, 2022 | 6 | 2022 |
Effective action study of the -symmetric theory and the Yang–Lee edge singularity AM Shalaby International Journal of Modern Physics A 34 (17), 1950090, 2019 | 6 | 2019 |
Isomorphic Hilbert spaces associated with different complex contours of the -symmetric (-x4) theory AM Shalaby International Journal of Modern Physics A 29 (11n12), 1450059, 2014 | 5 | 2014 |
LINKED -SYMMETRY TO SUPERSYMMETRY IN A CLASS OF NON-HERMITIAN HAMILTONIANS AM Shalaby International Journal of Modern Physics A 27 (10), 1250046, 2012 | 3 | 2012 |