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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
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