Article, Ajoutée
le09/01/2017 10:40
The Schrödinger equation of the spherically
symmetrical quantum models such as the hydrogen atom
problem seems to be analytically non-solvable in higher
dimensions. When we try compactifying one or several
dimensions this question can maybe solve [...]
GUEDEZOUNMESECLOKA LAZARE [1], KANFONDANVIDÉ ANTONIN [2], OUSMANE SAMARY DINE [3],
Article, Ajoutée
le09/01/2017 10:40
The D-colored version of tensor models has been shown to admit a large Nlimit
expansion. The leading contributions result from so-called melonic
graphs which are dual to the D-sphere. This is a note about the Schwinger–
Dyson equations of the tens [...]
OUSMANE SAMARY DINE [1], PEREZ-SANCHEZCARLOS I [2], WULKENHAARRAIMAR [4], VIGNES-TOURNERETFABIEN [3],
Article, Ajoutée
le09/01/2017 11:16
In this paper, we provide the closed equations that satisfy two-point correlation
functions of rank 3 and 4 tensorial group field theory. The formulation of the
current problem extends the method used by Grosse and Wulkenhaar (2009
arXiv:0909.1389 [...]
OUSMANE SAMARY DINE [1],
Article, Ajoutée
le09/01/2017 11:20
This paper is devoted to find the exact solution of the harmonic oscillator in a
position-dependent 4-dimensional noncommutative phase space. The noncommutative
phase space that we consider is described by the commutation relations between
coordin [...]
OUSMANE SAMARY DINE [1],
Article, Ajoutée
le09/01/2017 11:28
Thiswork addresses the computation of the probability
of fermionic particle pair production in (d + 1)-
dimensional noncommutative Moyal space. Using Seiberg–
Witten maps, which establish relations between noncommutative
and commutative field var [...]
OUSMANE SAMARY DINE [1], N'DOLOEMANONFI ELIAS [2], HOUNKONNOU MAHOUTON NORBERT [3],
Article, Ajoutée
le09/01/2017 11:34
This manuscript reports the first order -functions of recently proved just renormalizable random tensor
models endowed with a Uð1Þd gauge invariance. The models that we consider are polynomial Abelian ’46
and ’65
models. We show in this work that [...]
OUSMANE SAMARY DINE [1],
Article, Ajoutée
le09/01/2017 11:42
This paper addresses a construction of an n-ary star product. Relevant
identities are given. Besides, the formalism is illustrated by a computation
of eigenvalues and eigenfunctions for a physical system of coupled
oscillators in an n-dimensional [...]
HOUNKONNOU MAHOUTON NORBERT [1], OUSMANE SAMARY DINE [2],
Article, Ajoutée
le09/01/2017 11:53
We study the polynomial Abelian or U(1)d Tensorial Group Field Theories
equipped with a gauge invariance condition in any dimension d. We prove the just
renormalizability at all orders of perturbation of the ϕ4
6 and ϕ6
5 random tensor models.
W [...]
OUSMANE SAMARY DINE [1], VIGNES-TOURNERETFABIEN [2],
Article, Ajoutée
le09/01/2017 14:05
This work addresses a [...]
HOUNKONNOU MAHOUTON NORBERT [1], OUSMANE SAMARY DINE [2], EZINVIBALOITCHA [3], SAMA ARJIKA [4],
Article, Ajoutée
le09/01/2017 14:20
In this paper, we discuss deformation quantization of a harmonic oscillator
in a general non-commutative phase space, with both non-commuting
spatial and momentum coordinates. Different representations are considered. [...]
HOUNKONNOU MAHOUTON NORBERT [1], OUSMANE SAMARY DINE [2],