Fractional exclusion and braid statistics in one dimension: a study via dimensional reduction of Chern–Simons theory*Dedicated to the memory of Mario Tonin. (5th September 2017)

• Record Type: Journal Article
• Authors: Ye, Fei; Marchetti, P A; Su, Z B; Yu, L
• Is Part Of: Journal of physics. Volume 50:Number 39(2017)
• Publication Date: 2017-09-05
• Subjects: fractional statistics systems -- Chern–Simons theory -- exclusion statistics -- braid statistics; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aa846c
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: The relation between braid and exclusion statistics is examined in one-dimensional systems, within the framework of Chern–Simons statistical transmutation in gauge invariant form with an appropriate dimensional reduction. If the matter action is anomalous, as for chiral fermions, a relation between braid and exclusion statistics can be established explicitly for both mutual and nonmutual cases. However, if it is not anomalous, the exclusion statistics of emergent low energy excitations is not necessarily connected to the braid statistics of the physical charged fields of the system. Finally, we also discuss the bosonization of one-dimensional anyonic systems through T-duality.