Noncommutative fluid dynamics in the Snyder space-time

被引：12

作者：

Abdalla, M. C. B. ^{[1
]}

Holender, L. ^{[2
]}

Santos, M. A. ^{[3
]}

Vancea, I. V. ^{[2
]}

机构：

[1] UNESP Univ Estadual Paulista, Inst Fis Teor, BR-01156970 Sao Paulo, Brazil

[2] Univ Fed Rio de Janeiro UFRRJ, Dept Fis, Grp Fis Teor & Matemat Fis, BR-23890000 Rio De Janeiro, Brazil

[3] Univ Fed Espirito Santo UFES, Dept Fis & Quim, BR-29060900 Vitoria, ES, Brazil

来源：

PHYSICAL REVIEW D | 2012年 / 86卷 / 04期

关键词：

ENERGY-MOMENTUM TENSOR; RENORMALIZATION; THEOREM; FIELDS;

D O I：

10.1103/PhysRevD.86.045019

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In this paper, we construct for the first time the noncommutative fluid with the deformed Poincare invariance. To this end, the realization formalism of the noncommutative spaces is employed and the results are particularized to the Snyder space. The noncommutative fluid generalizes the fluid model in the action functional formulation to the noncommutative space. The fluid equations of motion and the conserved energy-momentum tensor are obtained.

引用

页数：7

共 51 条

[1] Generalizing the Noether theorem for Hopf-algebra spacetime symmetries
Agostini, Alessandra
Amelino-Camelia, Giovanni
Arzano, Michele
Mariano, Antonino
Tacchi, Ruggero Altair
[J]. MODERN PHYSICS LETTERS A, 2007, 22 (24) : 1779 - 1786
[2] COVARIANT FORMULATION OF NOETHER'S THEOREM FOR κ-MINKOWSKI TRANSLATIONS
Agostini, Alessandra
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2009, 24 (07): : 1333 - 1358
[3] Alavi SA, 2007, PROBL ATOM SCI TECH, P301
[4] General noncommuting curvilinear coordinates and fluid mechanics
Alavi, S. A.
[J]. CHINESE PHYSICS LETTERS, 2006, 23 (10) : 2637 - 2639
[5] Coproduct and star product in field theories on Lie-algebra noncommutative space-times
Amelino-Camelia, G
Arzano, M
[J]. PHYSICAL REVIEW D, 2002, 65 (08) : 840441 - 840448
[6] FLUID-DYNAMICS, CHERN-SIMONS THEORY, AND THE QUANTUM HALL-EFFECT
BAHCALL, S
SUSSKIND, L
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1991, 5 (16-17): : 2735 - 2749
[7] Metafluid dynamics and Hamilton-Jacobi formalism
Baleanu, D
[J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 2005, 55 (04) : 473 - 478
[8] Seiberg-Witten-type maps for currents and energy-momentum tensors in noncommutative gauge theories
Banerjee, R
Lee, C
Yang, HS
[J]. PHYSICAL REVIEW D, 2004, 70 (06):
[9] Deformed symmetry in Snyder space and relativistic particle dynamics
Banerjee, Rabin
Kulkarni, Shailesh
Samanta, Saurav
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2006, (05):
[10] A note on the topological order of noncommutative Hall fluids
Barbon, J. L. F.
Gerber, D.
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2007, 22 (29): : 5287 - 5300

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