Topics in Noncommutative Geometry Inspired Physics

Banerjee, Rabin; Chakraborty, Biswajit; Ghosh, Subir; Mukherjee, Prerana; Samanta, Saurav

doi:10.1007/s10701-009-9349-y

Cited by 100 publications

(72 citation statements)

References 224 publications

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“…One route (if one is interested in NC field theory) is to directly apply the Groenwald-Moyal * -product [7,[18][19][20] in a conventional model field theory to obtain the NC-extended field theory action. See e.g.…”

Section: Introductionmentioning

confidence: 99%

“…See e.g. earlier reviews [18][19][20] for generic NC field theory construction and * -product formalism in [15,16] for NC fluid model. The other alternative that is especially suited for fluids is to start from the Lagrangian (discrete) fluid model, introduce the NC space effect and subsequently exploit the map that connects the Lagrangian framework to an Euler Hamiltonian (continuum) framework to induce NC effects in the fluid field theory.…”

Section: Introductionmentioning

confidence: 99%

“…2 It should be noted that in the review [12] an NC generalized fluid variable algebra has been outlined starting from the discrete Lagrangian setup but it is not complete since only the NC extension of the densitydensity local algebra has been computed. This idea has led to a huge amount of literature and we refer to some review work in [18][19][20]. In the present paper we develop a generalized fluid dynamics, compatible with NC space (since we work in non-relativistic regime), from first principles.…”

Section: Introductionmentioning

confidence: 99%

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Noncommutative geometry and fluid dynamics

Das

Ghosh

2016

Eur. Phys. J. C

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In the present paper we have developed a NonCommutative (NC) generalization of perfect fluid model from first principles, in a Hamiltonian framework. The noncommutativity is introduced at the Lagrangian (particle) coordinate space brackets and the induced NC fluid bracket algebra for the Eulerian (fluid) field variables is derived. Together with a Hamiltonian this NC algebra generates the generalized fluid dynamics that satisfies exact local conservation laws for mass and energy, thereby maintaining mass and energy conservation. However, nontrivial NC correction terms appear in the charge and energy fluxes. Other non-relativistic spacetime symmetries of the NC fluid are also discussed in detail. This constitutes the study of kinematics and dynamics of NC fluid. In the second part we construct an extension of the FriedmannRobertson-Walker (FRW) cosmological model based on the NC fluid dynamics presented here. We outline the way in which NC effects generate cosmological perturbations bringing about anisotropy and inhomogeneity in the model. We also derive a NC extended Friedmann equation.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Noncommutative geometry and fluid dynamics

Das

Ghosh

2016

Eur. Phys. J. C

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“…As an example we can briefly describe the planar systems of condensed matter that deal with a perpendicular magnetic field and becomes itself NC in the lowest Landau level [35]. Besides, the NC parameter can be identified with the inverse of the magnetic field.…”

Section: Noncommutativitymentioning

confidence: 99%

“…To accomplish this, in our N = 2 supersymmetric case, we have to analyze the Euler-Lagrange equations (35), (37) and (38).…”

Section: Remarks and Conclusionmentioning

confidence: 99%

N = 2 supersymmetric radiation damping problem on a noncommutative plane

2014

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It is well known that a direct Lagrangian description of radiation damping is still missing. In this paper a specific approach of this problem was used, which is the standard way to treat the radiation damping problem. A N = 2 supersymmetric extension for the model describing the radiation damping on the noncommutative plane with electric and magnetic interactions was obtained. The entire supercharge algebra and the total Hamiltonian for the system were analyzed. Finally, noncommutativity features were introduced and its consequences were explored..

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Some aspects of entropic gravity in the presence of a noncommutative Schwarzschild-deSitter black hole

Mehdipour

2013

Astrophys Space Sci

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We study some features of entropic force approach in the presence of a noncommutative Schwarzschild-deSitter black hole. In this setup, there exists a similarity between the small and large scales. There are two finite cut-off in very short and long distances wherein the force and energy graph stop abruptly at those scales. We find that the existence of a deSitter core around the origin, induced by noncommutativity, in addition to a standard deSitter background at large scale may lead to a violation of the equivalence principle. Finally in order to directly observe the finite cut-off at short-scale gravity, caused by noncommutativity quantum fluctuations, we derive an effective gravitational constant. The value of √ θ without appearing the extra-dimensions scenarios is a value of the order of the Planck length, i.e. √ θ ∼ 10 −33 cm.

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Topics in Noncommutative Geometry Inspired Physics

Cited by 100 publications

References 224 publications

Noncommutative geometry and fluid dynamics

Noncommutative geometry and fluid dynamics

N = 2 supersymmetric radiation damping problem on a noncommutative plane

Some aspects of entropic gravity in the presence of a noncommutative Schwarzschild-deSitter black hole

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