Solution to the 1 + 1 dimensional gauged chiral Fermion problem
© 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the «https://creativecommons.org/licenses/by/4.0/» Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the auth...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society (APS)
2021
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| Online Access: | https://hdl.handle.net/1721.1/136397 |
| _version_ | 1826191607337058304 |
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| author | Wang, Juven Wen, Xiao-Gang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Wang, Juven Wen, Xiao-Gang |
| author_sort | Wang, Juven |
| collection | MIT |
| description | © 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the «https://creativecommons.org/licenses/by/4.0/» Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP 3 . We show that the 3450 U(1) chiral fermion theory can appear as the low energy effective field theory of a 1+1D local lattice model of fermions, with an on-site U(1) symmetry and finite-range interactions. The on-site U(1) symmetry means that the U(1) symmetry can be gauged (gaugeable for both background probe and dynamical fields), which leads to a nonperturbative definition of chiral gauge theory - a chiral fermion theory coupled to U(1) gauge theory. Our construction can be generalized to regularize any U(1)-anomaly-free 1+1D gauged chiral fermion theory with a zero chiral central charge (thus no gravitational anomaly) by a lattice, thanks to the recently proven "Poincaré dual" equivalence between the U(1) 't Hooft anomaly-free condition and the U(1) symmetric interaction gapping rule, via a bosonization-fermionization technique. |
| first_indexed | 2024-09-23T08:58:33Z |
| format | Article |
| id | mit-1721.1/136397 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:58:33Z |
| publishDate | 2021 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/1363972023-02-17T20:28:41Z Solution to the 1 + 1 dimensional gauged chiral Fermion problem Wang, Juven Wen, Xiao-Gang Massachusetts Institute of Technology. Department of Physics © 2019 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the «https://creativecommons.org/licenses/by/4.0/» Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP 3 . We show that the 3450 U(1) chiral fermion theory can appear as the low energy effective field theory of a 1+1D local lattice model of fermions, with an on-site U(1) symmetry and finite-range interactions. The on-site U(1) symmetry means that the U(1) symmetry can be gauged (gaugeable for both background probe and dynamical fields), which leads to a nonperturbative definition of chiral gauge theory - a chiral fermion theory coupled to U(1) gauge theory. Our construction can be generalized to regularize any U(1)-anomaly-free 1+1D gauged chiral fermion theory with a zero chiral central charge (thus no gravitational anomaly) by a lattice, thanks to the recently proven "Poincaré dual" equivalence between the U(1) 't Hooft anomaly-free condition and the U(1) symmetric interaction gapping rule, via a bosonization-fermionization technique. 2021-10-27T20:35:11Z 2021-10-27T20:35:11Z 2019 2021-07-06T15:23:42Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136397 en 10.1103/PHYSREVD.99.111501 Physical Review D Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/ application/pdf American Physical Society (APS) APS |
| spellingShingle | Wang, Juven Wen, Xiao-Gang Solution to the 1 + 1 dimensional gauged chiral Fermion problem |
| title | Solution to the 1 + 1 dimensional gauged chiral Fermion problem |
| title_full | Solution to the 1 + 1 dimensional gauged chiral Fermion problem |
| title_fullStr | Solution to the 1 + 1 dimensional gauged chiral Fermion problem |
| title_full_unstemmed | Solution to the 1 + 1 dimensional gauged chiral Fermion problem |
| title_short | Solution to the 1 + 1 dimensional gauged chiral Fermion problem |
| title_sort | solution to the 1 1 dimensional gauged chiral fermion problem |
| url | https://hdl.handle.net/1721.1/136397 |
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