$κ$-Deformed Statistics and Classical Fourmomentum Addition Law

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dc.creatorDaszkiewicz, M.
dc.creatorLukierski, J.
dc.creatorWoronowicz, M.
dc.date2007-03-22
dc.date2008-02-05
dc.date.accessioned2026-07-07T11:44:11Z
dc.date.available2026-07-07T11:44:11Z
dc.descriptionWe consider $κ$-deformed relativistic symmetries described algebraically by modified Majid-Ruegg bicrossproduct basis and investigate the quantization of field oscillators for the $κ$-deformed free scalar fields on $κ$-Minkowski space. By modification of standard multiplication rule, we postulate the $κ$-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 $κ$-deformed Fock space generated by our $κ$-deformed oscillators which satisfy the standard algebraic relations with modified $κ$-multiplication rule. We show that such a $κ$-deformed bosonic Fock space is endowed with the conventional bosonic symmetry properties. Finally we discuss the role of $κ$-deformed algebra of oscillators in field-theoretic noncommutative framework.
dc.descriptionLaTeX, 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
dc.identifierhttps://arxiv.org/abs/hep-th/0703200
dc.identifierhttp://arxiv.org/abs/hep-th/0703200
dc.identifierMod.Phys.Lett.A23:653-665,2008
dc.identifierdoi:10.1142/S021773230802673X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201510
dc.subjectHigh Energy Physics - Theory
dc.title$κ$-Deformed Statistics and Classical Fourmomentum Addition Law
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