Klein factors and Fermi-Bose equivalence
Generalizing the kink operator of the Heisenberg spin 1/2 model, we construct a set of Klein factors explicitly such that (1+1)-dimensional fermion theories with an arbitrary number of species are mapped onto the corresponding boson theories with the same number of species and vice versa. The action...
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| Published in: | Journal of the Korean Physical Society Vol. 68; no. 11; pp. 1272 - 1286 |
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| Language: | English |
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The Korean Physical Society
01-06-2016
한국물리학회 |
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| Abstract | Generalizing the kink operator of the Heisenberg spin 1/2 model, we construct a set of Klein factors explicitly such that (1+1)-dimensional fermion theories with an arbitrary number of species are mapped onto the corresponding boson theories with the same number of species and vice versa. The actions for the resultant theories do not possess a nontrivial Klein factor. With this set of Klein factors, we are also able to map the simple boundary states, such as the Neumann and the Dirichlet boundary states, of the fermion (boson) theory onto those of the boson (fermion) theory. Applications of the Fermi-Bose equivalence with the constructed Klein factors to well-known (1+1)-dimensional theories have been discussed. |
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| AbstractList | Generalizing the kink operator of the Heisenberg spin 1/2 model, we construct a set of Klein factors explicitly such that (1+1)-dimensional fermion theories with an arbitrary number of species are mapped onto the corresponding boson theories with the same number of species and vice versa. The actions for the resultant theories do not possess a nontrivial Klein factor. With this set of Klein factors, we are also able to map the simple boundary states, such as the Neumann and the Dirichlet boundary states, of the fermion (boson) theory onto those of the boson (fermion) theory. Applications of the Fermi-Bose equivalence with the constructed Klein factors to well-known (1+1)-dimensional theories have been discussed. Generalizing the kink operator of the Heisenberg spin 1/2 model, we construct a set of Klein factors explicitly such that (1+1)-dimensional fermion theories with an arbitrary number of species are mapped onto the corresponding boson theories with the same number of species and vice versa. The actions for the resultant theories do not possess a nontrivial Klein factor. With this set of Klein factors, we are also able to map the simple boundary states, such as the Neumann and the Dirichlet boundary states, of the fermion (boson) theory onto those of the boson (fermion) theory. Applications of the Fermi-Bose equivalence with the constructed Klein factors to well-known (1+1)- dimensional theories have been discussed. KCI Citation Count: 5 |
| Author | Lee, Taejin |
| Author_xml | – sequence: 1 givenname: Taejin surname: Lee fullname: Lee, Taejin email: taejin@kangwon.ac.kr organization: Department of Physics, Kangwon National University |
| BackLink | https://www.kci.go.kr/kciportal/ci/sereArticleSearch/ciSereArtiView.kci?sereArticleSearchBean.artiId=ART002113669$$DAccess content in National Research Foundation of Korea (NRF) |
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| CitedBy_id | crossref_primary_10_1142_S0217751X16501542 crossref_primary_10_1016_j_physleta_2016_10_043 crossref_primary_10_1038_s41598_017_14635_y crossref_primary_10_1142_S0217979217500242 crossref_primary_10_3938_jkps_69_551 |
| Cites_doi | 10.1007/BF01331938 10.1103/PhysRevLett.72.1372 10.1007/978-1-4613-2895-7_6 10.1103/PhysRevLett.73.2786 10.1016/0550-3213(76)90127-9 10.1103/RevModPhys.75.1449 10.1098/rspa.1958.0003 10.1016/0550-3213(87)90219-7 10.1088/0305-4470/24/10/023 10.1088/0305-4470/29/20/007 10.1103/PhysRevD.11.3026 10.1016/0003-4916(58)90015-0 10.1002/(SICI)1521-3889(199811)7:4<225::AID-ANDP225>3.0.CO;2-L 10.1016/0370-2693(80)90277-4 10.1088/1126-6708/2006/11/056 10.1016/0550-3213(91)90109-B 10.1088/1126-6708/2005/05/072 10.1016/0003-4916(83)90202-6 10.1088/0022-3719/14/19/010 10.1016/0378-4371(83)90013-4 10.1142/2436 10.1103/PhysRevD.10.3235 10.1007/BF01017853 10.1016/0370-2693(87)90084-0 10.1088/1126-6708/2002/04/048 10.1007/BF01218489 10.1103/PhysRevD.50.R622 10.1098/rspa.1957.0106 10.1016/j.aop.2006.02.006 10.1088/1126-6708/2008/02/090 10.1142/S0217751X0502519X 10.1098/rspa.1963.0204 10.1017/CBO9780511534843 10.1016/0550-3213(94)90365-4 10.1103/PhysRevLett.91.206403 10.1007/BF01328601 10.1063/1.1704281 10.1080/00018737900101375 10.1088/1126-6708/2009/03/078 10.1143/ptp/5.4.544 10.1016/0550-3213(87)90211-2 10.1016/0550-3213(90)90060-Q 10.1103/PhysRevD.11.2088 10.1063/1.1704046 |
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| Keywords | Klein factor Gross-Neveu model Thirring model Fermi-Bose equivalence Boundary state |
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| Snippet | Generalizing the kink operator of the Heisenberg spin 1/2 model, we construct a set of Klein factors explicitly such that (1+1)-dimensional fermion theories... |
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| Title | Klein factors and Fermi-Bose equivalence |
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