Noncommutative relativistic particles

作者:Amorim Ricardo*; Abreu Everton M C; Ramirez Walberto Guzman
来源:Physical Review D - Particles, Fields, Gravitation and Cosmology, 2010, 81(10): 105005.
DOI:10.1103/PhysRevD.81.105005

摘要

We present a relativistic formulation of noncommutative mechanics where the object of noncommutativity theta(mu nu) is considered as an independent quantity. Its canonical conjugate momentum is also introduced so that it permits one to obtain an explicit form for the generators of the extended Poincare group in the noncommutative case. The theory, which is invariant under reparametrization, generalizes recent nonrelativistic results. Free noncommutative bosonic particles satisfy an extended Klein-Gordon equation depending on two parameters.

  • 出版日期2010-5-15