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Ye, F; Marchetti, PA; Su, ZB![]() ![]() | |
Fractional exclusion and braid statistics in one dimension: a study via dimensional reduction of Chern-Simons theory | |
Source Publication | JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
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Language | 英语 |
Keyword | Fractional Statistics Systems Chern-simons Theory Exclusion Statistics Braid Statistics |
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. |
2017 | |
Volume | 50Issue:39Pages:395401 |
Subject Area | Physics |
DOI | http://dx.doi.org/10.1088/1751-8121/aa846c |
Funding Organization | National 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') |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.itp.ac.cn/handle/311006/21963 |
Collection | SCI期刊论文 |
Corresponding Author | Ye, 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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