English

$\kappa$-Deformed Statistics and Classical Fourmomentum Addition Law

High Energy Physics - Theory 2008-11-26 v4

Abstract

We consider κ\kappa-deformed relativistic symmetries described algebraically by modified Majid-Ruegg bicrossproduct basis and investigate the quantization of field oscillators for the κ\kappa-deformed free scalar fields on κ\kappa-Minkowski space. By modification of standard multiplication rule, we postulate the κ\kappa-deformed algebra of bosonic creation and annihilation operators. Our algebra permits to define the n-particle states with classical addition law for the fourmomenta in a way which is not in contradiction with the nonsymmetric quantum fourmomentum coproduct. We introduce κ\kappa-deformed Fock space generated by our κ\kappa-deformed oscillators which satisfy the standard algebraic relations with modified κ\kappa-multiplication rule. We show that such a κ\kappa-deformed bosonic Fock space is endowed with the conventional bosonic symmetry properties. Finally we discuss the role of κ\kappa-deformed algebra of oscillators in field-theoretic noncommutative framework.

Keywords

Cite

@article{arxiv.hep-th/0703200,
  title  = {$\kappa$-Deformed Statistics and Classical Fourmomentum Addition Law},
  author = {M. Daszkiewicz and J. Lukierski and M. Woronowicz},
  journal= {arXiv preprint arXiv:hep-th/0703200},
  year   = {2008}
}

Comments

LaTeX, 12 pages. V2: second part of chapter 4 changed, new references and comments added. V3: formula (14) corrected. Some additional explanations added. V4: further comments about algebraic structure are added