Several interacting models of chiral bosons and gauge fields are investigated on the noncommutative extended Minkowski spacetime which was recently proposed from a new point of view of disposing noncommutativity.The m...Several interacting models of chiral bosons and gauge fields are investigated on the noncommutative extended Minkowski spacetime which was recently proposed from a new point of view of disposing noncommutativity.The models include the bosonized chiral Schwinger model,the generalized chiral Schwinger model (GCSM) and its gauge invariant formulation.We establish the Lagrangian theories of the models,and then derive the Hamilton's equations in accordance with the Dirac's method and solve the equations of motion,and further analyze the self-duality of the Lagrangian theories in terms of the parent action approach.展开更多
基金Supported in part by the National Natural Science Foundation of China under Grant No.11175090the Fundamental Research Funds for the Central Universities under Grant No.65030021the Project of Knowledge Innovation Program (PKIP) of Chinese Academy of Sciences under Grant No.KJCX2.YW.W10
文摘Several interacting models of chiral bosons and gauge fields are investigated on the noncommutative extended Minkowski spacetime which was recently proposed from a new point of view of disposing noncommutativity.The models include the bosonized chiral Schwinger model,the generalized chiral Schwinger model (GCSM) and its gauge invariant formulation.We establish the Lagrangian theories of the models,and then derive the Hamilton's equations in accordance with the Dirac's method and solve the equations of motion,and further analyze the self-duality of the Lagrangian theories in terms of the parent action approach.