Poincare covariant mechanics on noncommutative space

Abstract

The Dirac approach to constrained systems can be adapted to construct relativistic invariant theories on a noncommutative (NC) space. As an example, we propose and discuss relativistic invariant NC particle coupled to electromagnetic (EM) field by means of the standard term A_μẋ ^μ. Poincare invariance implies deformation of the free particle NC algebra in the interaction theory. The corresponding corrections survive in the nonrelativistic limit.

Original language	English
Pages (from-to)	431-439
Number of pages	9
Journal	Journal of High Energy Physics
Volume	7
Issue number	3
Publication status	Published - 1 Mar 2003

Keywords

Gauge Symmetry
Non-Commutative Geometry
Space-Time Symmetries

ASJC Scopus subject areas

Nuclear and High Energy Physics

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title = "Poincare covariant mechanics on noncommutative space",

abstract = "The Dirac approach to constrained systems can be adapted to construct relativistic invariant theories on a noncommutative (NC) space. As an example, we propose and discuss relativistic invariant NC particle coupled to electromagnetic (EM) field by means of the standard term Aμẋ μ. Poincare invariance implies deformation of the free particle NC algebra in the interaction theory. The corresponding corrections survive in the nonrelativistic limit.",

keywords = "Gauge Symmetry, Non-Commutative Geometry, Space-Time Symmetries",

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year = "2003",

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AB - The Dirac approach to constrained systems can be adapted to construct relativistic invariant theories on a noncommutative (NC) space. As an example, we propose and discuss relativistic invariant NC particle coupled to electromagnetic (EM) field by means of the standard term Aμẋ μ. Poincare invariance implies deformation of the free particle NC algebra in the interaction theory. The corresponding corrections survive in the nonrelativistic limit.

KW - Gauge Symmetry

KW - Non-Commutative Geometry

KW - Space-Time Symmetries

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Poincare covariant mechanics on noncommutative space

Abstract

Keywords

ASJC Scopus subject areas

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