Conformal field theory in Tomonaga-Luttinger model with 1/rβ type long-range interactions
Abstract
The validity of the CFT in the Tomonaga-Luttinger liquid with the 1/rβ type long-range interactions is discussed. The arguments by CFT for long-range forward scatterings predict the finite size corrections which depend on the power of the long-range interactions. Especially from finite size corrections in the ground state, we find the effective central charge deviates from c=1. These conformal arguments are numerically tested in the one particle excitations and the ground state.
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