$\kappa$-Deformed Statistics and Classical Fourmomentum Addition Law
Abstract
We consider -deformed relativistic symmetries described algebraically by modified Majid-Ruegg bicrossproduct basis and investigate the quantization of field oscillators for the -deformed free scalar fields on -Minkowski space. By modification of standard multiplication rule, we postulate the -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 -deformed Fock space generated by our -deformed oscillators which satisfy the standard algebraic relations with modified -multiplication rule. We show that such a -deformed bosonic Fock space is endowed with the conventional bosonic symmetry properties. Finally we discuss the role of -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