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タイトル: | Scattering amplitude and bosonization duality in general Chern-Simons vector models |
著者: | Yokoyama, Shuichi |
著者名の別形: | 横山, 修一 |
キーワード: | 1/N Expansion Chern-Simons Theories Duality in Gauge Field Theories Scattering Amplitudes |
発行日: | Sep-2016 |
出版者: | Springer Nature |
誌名: | Journal of High Energy Physics |
巻: | 2016 |
論文番号: | 105 |
抄録: | We present the exact large N calculus of four point functions in general Chern-Simons bosonic and fermionic vector models. Applying the LSZ formula to the four point function we determine the two body scattering amplitudes in these theories taking a special care for a non-analytic term to achieve unitarity in the singlet channel. We show that the S-matrix enjoys the bosonization duality, an unusual crossing relation and a non-relativistic reduction to Aharonov-Bohm scattering. We also argue that the S-matrix develops a pole in a certain range of coupling constants, which disappears in the range where the theory reduces to the Chern-Simons theory interacting with free fermions. |
著作権等: | © The Author(s) 2016 JHEP is an open-access journal funded by SCOAP3 and licensed under CC BY 4.0 |
URI: | http://hdl.handle.net/2433/218588 |
DOI(出版社版): | 10.1007/JHEP09(2016)105 |
出現コレクション: | 学術雑誌掲載論文等 |
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