Supersymmetric structures of Dirac oscillators in commutative and noncommutative space

2021 ◽  
Author(s):  
Jing-Ying Wei ◽  
Qing Wang ◽  
Jian Jing
Keyword(s):  
Noncommutative Space

Singlet scalar dark matter in noncommutative space

2019 ◽  
Vol 19 (2) ◽  
pp. 455-461
Author(s):  
Z Rezaei ◽  
T Alizadeh ◽  
◽  
Keyword(s):  
Dark Matter ◽  
Noncommutative Space

scholarly journals BLACK HOLE EVAPORATION BASED UPON A q-DEFORMATION DESCRIPTION

2005 ◽  
Vol 20 (26) ◽  
pp. 6039-6049 ◽  
Author(s):  
XIN ZHANG
Keyword(s):  
Black Hole ◽  
Degrees Of Freedom ◽  
Radiation Spectrum ◽  
Correlation Effect ◽  
Space Time ◽  
Noncommutative Space ◽  
Schwarzschild Black Hole ◽  
Black Hole Evaporation ◽  
Starting Point ◽  
New Distribution

A toy model based upon the q-deformation description for studying the radiation spectrum of black hole is proposed. The starting point is to make an attempt to consider the space–time noncommutativity in the vicinity of black hole horizon. We use a trick that all the space–time noncommutative effects are ascribed to the modification of the behavior of the radiation field of black hole and a kind of q-deformed degrees of freedom are postulated to mimic the radiation particles that live on the noncommutative space–time, meanwhile the background metric is preserved as usual. We calculate the radiation spectrum of Schwarzschild black hole in this framework. The new distribution deviates from the standard thermal spectrum evidently. The result indicates that some correlation effect will be introduced to the system if the noncommutativity is taken into account. In addition, an infrared cutoff of the spectrum is the prediction of the model.

scholarly journals Two-Particle System in Noncommutative Space with Preserved Rotational Symmetry

2016 ◽  
Vol 61 (5) ◽  
pp. 432-439 ◽  
Author(s):  
Kh.P. Gnatenko ◽  
◽  
V.M. Tkachuk ◽  
Keyword(s):  
Particle System ◽  
Rotational Symmetry ◽  
Noncommutative Space

scholarly journals A VARIATIONAL FORMULATION OF SYMPLECTIC NONCOMMUTATIVE MECHANICS

2007 ◽  
Vol 04 (05) ◽  
pp. 789-805 ◽  
Author(s):  
IGNACIO CORTESE ◽  
J. ANTONIO GARCÍA
Keyword(s):  
Dynamical System ◽  
Phase Space ◽  
Variational Principle ◽  
Configuration Space ◽  
Variational Formulation ◽  
Noncommutative Space ◽  
First Order ◽  
Dynamical Properties ◽  
Definition Of ◽  
Space Noncommutativity

The standard lore in noncommutative physics is the use of first order variational description of a dynamical system to probe the space noncommutativity and its consequences in the dynamics in phase space. As the ultimate goal is to understand the inherent space noncommutativity, we propose a variational principle for noncommutative dynamical systems in configuration space, based on results of our previous work [18]. We hope that this variational formulation in configuration space can be of help to elucidate the definition of some global and dynamical properties of classical and quantum noncommutative space.

scholarly journals LOCALITY, CAUSALITY AND NONCOMMUTATIVE GEOMETRY

2006 ◽  
Vol 21 (01) ◽  
pp. 67-82 ◽  
Author(s):  
CHONG-SUN CHU ◽  
KO FURUTA ◽  
TAKEO INAMI
Keyword(s):  
Field Theory ◽  
Noncommutative Geometry ◽  
Light Cone ◽  
Energy Condition ◽  
Noncommutative Space ◽  
Noncommutative Field Theory ◽  
Causality Condition ◽  
Usual Form ◽  
New Form ◽  
Lower Dimensional

We analyze the causality condition in noncommutative field theory and show that the nonlocality of noncommutative interaction leads to a modification of the light cone to the light wedge. This effect is generic for noncommutative geometry. We also check that the usual form of energy condition is violated and propose that a new form is needed in noncommutative space–time. On reduction from light cone to light wedge, it looks like the noncommutative dimensions are effectively washed out and suggests a reformulation of noncommutative field theory in terms of lower dimensional degree of freedom. This reduction of dimensions due to noncommutative geometry could play a key role in explaining the holographic property of quantum gravity.

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