1998Journal of Physics A Mathematical and GeneralOpen access

U(1) Symmetry in Yangian and massless Thirring model

Li Chengyu, Jing-Song Liu, Mo‐Lin Ge

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Abstract

Yangian Y(sl(2)) constructed by fermionic field operators is extended to the q -deformed case which can be realized in the massless Thirring model. This leads to local U(1) gauge-invariance of Y(sl(2)) and evolution of the double-time Green function in q -statistics.

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Yangian Y(sl(2)) constructed by fermionic field operators is extended to the q -deformed case which can be realized in the massless Thirring model. This leads to local U(1) gauge-invariance of Y(sl(2)) and evolution of the double-time Green function in q -statistics.

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Available abstract

Yangian Y(sl(2)) constructed by fermionic field operators is extended to the q -deformed case which can be realized in the massless Thirring model. This leads to local U(1) gauge-invariance of Y(sl(2)) and evolution of the double-time Green function in q -statistics.

Key concepts: Thirring model, Yangian, Massless particle, Mathematical physics, Symmetry (geometry), Physics, Quantum electrodynamics, Fermion

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