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Ye, F; Marchetti, PA; Su, ZB; Yu, L; Ye, F (reprint author), South Univ Sci & Technol China, Dept Phys, Shenzhen 518055, Peoples R China.
Fractional exclusion and braid statistics in one dimension: a study via dimensional reduction of Chern-Simons theory
Source PublicationJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Language英语
KeywordFractional Statistics Systems Chern-simons Theory Exclusion Statistics Braid Statistics
AbstractThe 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.
2017
Volume50Issue:39Pages:395401
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1088/1751-8121/aa846c
Funding OrganizationNational Nature Science Foundation of China [11374135, JCYJ20160531190535310] ; National Nature Science Foundation of China [11374135, JCYJ20160531190535310] ; National Nature Science Foundation of China [11374135, JCYJ20160531190535310] ; National Nature Science Foundation of China [11374135, JCYJ20160531190535310] ; Ministero Istruzione Universita Ricerca (PRIN Project 'Collective Quantum Phenomena: From Strongly-Correlated Systems to Quantum Simulators') ; Ministero Istruzione Universita Ricerca (PRIN Project 'Collective Quantum Phenomena: From Strongly-Correlated Systems to Quantum Simulators') ; Ministero Istruzione Universita Ricerca (PRIN Project 'Collective Quantum Phenomena: From Strongly-Correlated Systems to Quantum Simulators') ; Ministero Istruzione Universita Ricerca (PRIN Project 'Collective Quantum Phenomena: From Strongly-Correlated Systems to Quantum Simulators')
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21963
Collection理论物理所科研产出_SCI论文
Corresponding AuthorYe, F (reprint author), South Univ Sci & Technol China, Dept Phys, Shenzhen 518055, Peoples R China.
Recommended Citation
GB/T 7714
Ye, F,Marchetti, PA,Su, ZB,et al. Fractional exclusion and braid statistics in one dimension: a study via dimensional reduction of Chern-Simons theory[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2017,50(39):395401.
APA Ye, F,Marchetti, PA,Su, ZB,Yu, L,&Ye, F .(2017).Fractional exclusion and braid statistics in one dimension: a study via dimensional reduction of Chern-Simons theory.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,50(39),395401.
MLA Ye, F,et al."Fractional exclusion and braid statistics in one dimension: a study via dimensional reduction of Chern-Simons theory".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 50.39(2017):395401.
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