arXiv subjects

M. Bennai

Publications and source records attributed to M. Bennai.

42 records · Page 3Linked to original sources

arXiv2010

F-term Braneworld inflation in Light of Five-year WMAP observations

We consider a supersymmetric hybrid inflation in the framework of the Randall-Sundrum type II Braneworld model. We drive an analytical expression for the scalar potential and find that the F-term dominates hybrid inflation process. We show that for some value of Brane tension we can eliminate the fine tuning problem related to coupling constant k of the potential: We also calculate all known spectrum inflation parameters and show that observational bounds from WMAP5, BAO and SN observations are satisfied.

gr-qc↗

arXiv2009

WMAP5 Observationnal Constraints on Braneworld New Inflation Model

We study a new inflation potential in the framework of the Randall-Sundrum type 2 Braneworld model. Using the technic developped in(Phys. Rev. D75, 123504 (2007).1), we consider both an monomial and a new inflation potentials and apply the Slow-Roll approximation in high energy limit, to derive analytical expression of relevant perturabtion spectrum. We show that for some values of the parameter n of the potential, we obtain an perturbation spectrum wich present a good agreement with recent WMAP5 observations.

hep-th↗

arXiv2009

Off-site interaction effect in the Extended Hubbard Model with SCRPA method

The Self Consistent Random Phase Approximation (SCRPA) and a Direct Analytical (DA) method are proposed to solve the Extended Hubbard Model in 1D. We have considered an Extended Hubbard Model (EHM) including on-site and off-site interactions for closed chains in one dimension with periodic boundary conditions. The comparison of the SCRPA results with ones obtained by a Direct Analytical approach shows that the SCRPA treats the problem of these closed chains with a rigorous manner. The analysis of the nearest-neighbour repulsion effect on the dynamics of our closed chains shows that this repulsive interaction between the electrons of the neighbouring atoms induces supplementary conductivity, since, the SCRPA energy gap vanishes when these closed chains are governed by a strong repulsive on-site interaction and intermediate nearest-neighbour repulsion.

cond-mat.str-el↗

arXiv2008

On Inflation Potentials in Randall-Sundrum Braneworld Model

We study the inflationary dynamics of the universe in the Randall-Sandrum typeII Braneworld model. We consider both an inverse-power law and exponential potentials and apply the Slow-Roll approximation in high energy limit to derive analytical expression of relevant inflationary quantities. An upper bound for the coupling constant was also obtained and a numerical value of perturbation spectrum is calculated in good agreement with observation.

gr-qc↗

arXiv2008

Ground State Energy of Extended Hubbard Model by self-consistent RPA

Using the SCRPA, we study the intersite interaction effect on the dynamics of N electrons system. We have considered an extended Hubbard model including intrasite and intersite interactions, and we have applied this model to a system of two neighbouring atoms containing a free electron. The application of SCRPA to this model allows us to study the intersite interaction effect on the ground state and the excitation energies of system. We show that the repulsive interaction between the electrons of the neighbouring atoms is the origin of an supplementary conductivity of the system.

cond-mat.str-el↗

arXiv2000

On the Fairlie's Moyal formulation of M(atrix)- theory

Starting from the Moyal formulation of M-theory in the large N-limit, we propose to reexamine the associated membrane equations of motion in 10 dimensions formulated in terms of Poisson bracket. Among the results obtained, we rewrite the coupled first order Nahm's equations into a simple form leading in turn to their systematic relation with $SU(\infty)$ Yang Mills equations of motion. The former are interpreted as the vanishing condition of some conserved currents which we propose. We develop also an algebraic analysis in which an ansatz is considered and find an explicit form for the membrane solution of our problem. Typical solutions known in literature can also emerge as special cases of the proposed solution

hep-th↗