Anyon scattering from lightcone Hamiltonian: the singlet channel
Abstract We study U(N) Chern-Simons theory coupled to massive fundamental fermions in the lightcone Hamiltonian formalism. Focusing on the planar limit, we introduce a consistent regularization scheme, identify the counter terms needed to restore relativistic invariance, and formulate scattering the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)145 |
| _version_ | 1811258897057447936 |
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| author | Barak Gabai Joshua Sandor Xi Yin |
| author_facet | Barak Gabai Joshua Sandor Xi Yin |
| author_sort | Barak Gabai |
| collection | DOAJ |
| description | Abstract We study U(N) Chern-Simons theory coupled to massive fundamental fermions in the lightcone Hamiltonian formalism. Focusing on the planar limit, we introduce a consistent regularization scheme, identify the counter terms needed to restore relativistic invariance, and formulate scattering theory in terms of unambiguously defined asymptotic states. We determine the 2 → 2 planar S-matrix element in the singlet channel by solving the Lippmann-Schwinger equation to all orders, establishing a result previously conjectured in the literature. |
| first_indexed | 2024-04-12T18:21:29Z |
| format | Article |
| id | doaj.art-33564496521f4c1680eafb59adb083be |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T18:21:29Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-33564496521f4c1680eafb59adb083be2022-12-22T03:21:25ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022913010.1007/JHEP09(2022)145Anyon scattering from lightcone Hamiltonian: the singlet channelBarak Gabai0Joshua Sandor1Xi Yin2Jefferson Physical Laboratory, Harvard UniversityJefferson Physical Laboratory, Harvard UniversityJefferson Physical Laboratory, Harvard UniversityAbstract We study U(N) Chern-Simons theory coupled to massive fundamental fermions in the lightcone Hamiltonian formalism. Focusing on the planar limit, we introduce a consistent regularization scheme, identify the counter terms needed to restore relativistic invariance, and formulate scattering theory in terms of unambiguously defined asymptotic states. We determine the 2 → 2 planar S-matrix element in the singlet channel by solving the Lippmann-Schwinger equation to all orders, establishing a result previously conjectured in the literature.https://doi.org/10.1007/JHEP09(2022)1451/N ExpansionAnyonsChern-Simons TheoriesScattering Amplitudes |
| spellingShingle | Barak Gabai Joshua Sandor Xi Yin Anyon scattering from lightcone Hamiltonian: the singlet channel Journal of High Energy Physics 1/N Expansion Anyons Chern-Simons Theories Scattering Amplitudes |
| title | Anyon scattering from lightcone Hamiltonian: the singlet channel |
| title_full | Anyon scattering from lightcone Hamiltonian: the singlet channel |
| title_fullStr | Anyon scattering from lightcone Hamiltonian: the singlet channel |
| title_full_unstemmed | Anyon scattering from lightcone Hamiltonian: the singlet channel |
| title_short | Anyon scattering from lightcone Hamiltonian: the singlet channel |
| title_sort | anyon scattering from lightcone hamiltonian the singlet channel |
| topic | 1/N Expansion Anyons Chern-Simons Theories Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP09(2022)145 |
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