Anyon scattering from lightcone Hamiltonian: the singlet channel

Journal of High Energy Physics

Regular Article - Theoretical Physics

Xi Yin¹  Barak Gabai¹  Joshua Sandor² 

[1] Jefferson Physical Laboratory, Harvard University, 17 Oxford St., 02138, Cambridge, MA, USA;Jefferson Physical Laboratory, Harvard University, 17 Oxford St., 02138, Cambridge, MA, USA;Stanford Institute for Theoretical Physics, Stanford University, 382 Via Pueblo Mall, 94305, Stanford, CA, USA;

关键词: N;    Anyons;    Chern-Simons Theories;    Scattering Amplitudes;   

DOI  :  10.1007/JHEP09(2022)145

 received in 2022-05-29, accepted in 2022-09-01,  发布年份 2022

来源: Springer

【 摘 要 】

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.

【 授权许可】

Unknown   
© The Author(s) 2022