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Finite Size Corrections for One Dimensional Interacting Fermions

         

摘要

Using the method based on the Euler-Maclaurin formula,we calculate the finitesize correction to the energy of the ground state and the excited state for the delta interacting fermion gas in the periodic boundary condition with N-1 of the N fermions having the same spin and one having the opposite spin.In the thermodynamic limit,we obtain the conformal anomaly,operator dimension and the correlation functions.

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