The impact of deformed space–space parameters into canonical scalar field model with exponential potential. The case of spatially flat Friedmann–Lemaître–Robertson–Walker (FLRW) universe

Author(s):  
T. Toghrai ◽  
N. Mansour ◽  
A. K. Daoudia ◽  
A. El Boukili ◽  
M. B. Sedra

In this work, we propose a model of noncommutative cosmology through the deformation of minisuperspace. We focus on an exponentially potential with a homogeneous scalar field minimally coupled to gravity in the spatially flat universe. To process, we use a particular case of noncommutativity by making a deformation of space coordinates only. Then, we compare results in both the commutative model and the noncommutative one.

2017 ◽  
Vol 32 (12) ◽  
pp. 1750073 ◽  
Author(s):  
D. Bazeia ◽  
F. S. Bemfica

In this work, we report a new result that appears when one investigates the route that starts from a scalar field theory and ends on a supersymmetric quantum mechanics. The subject has been studied before in several distinct ways and here, we unveil an interesting novelty, showing that the same scalar field model may describe distinct quantum mechanical problems.


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