Deformed symmetry in Snyder space and relativistic particle dynamics

被引：52

作者：

Banerjee, Rabin ^{[1
]}

Kulkarni, Shailesh ^{[1
]}

Samanta, Saurav ^{[1
]}

机构：

[1] SN Bose Natl Ctr Basic Sci, Kolkata 700098, W Bengal, India

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2006年 / 05期

关键词：

commutative geometry; space-time symmetries;

D O I：

10.1088/1126-6708/2006/05/077

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We describe the deformed Poincare-conformal symmetries implying the covariance of the noncommutative space obeying Snyder's algebra. Relativistic particle models invariant under these deformed symmetries are presented. A gauge (reparametrisation) independent derivation of Snyder's algebra from such models is given. The algebraic transformations relating the deformed symmetries with the usual (undeformed) ones are provided. Finally, an alternative form of an action yielding Snyder's algebra is discussed where the mass of a relativistic particle gets identified with the inverse of the noncommutativity parameter.

引用

页数：22

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