TL;DR
This paper explores the unique 'rainbow statistics' arising from quantum group symmetries in non-commutative quantum field theories, focusing on $ k$-quantum fields and their multiparticle state structures.
Contribution
It provides an analysis of rainbow statistics in $ k$-quantum fields, highlighting differences and similarities with twisted statistics models.
Findings
Rainbow statistics reflect non-trivial momentum-dependent behavior.
Quantum group symmetries induce new structures in multiparticle states.
The study clarifies the relationship between rainbow and twisted statistics.
Abstract
Non-commutative quantum field theories and their global quantum group symmetries provide an intriguing attempt to go beyond the realm of standard local quantum field theory. A common feature of these models is that the quantum group symmetry of their Hilbert spaces induces additional structure in the multiparticle states which reflects a non-trivial momentum-dependent statistics. We investigate the properties of this "rainbow statistics" in the particular context of -quantum fields and discuss the analogies/differences with models with twisted statistics.
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