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We study the generic scaling properties of the mutual information between twodisjoint intervals, in a class of one-dimensional quantum critical systemsdescribed by the c=1 bosonic field theory. A numerical analysis of a spin-chainmodel reveals that the mutual information is scale-invariant and dependsdirectly on the boson radius. We interpret the results in terms of correlationfunctions of branch-point twist fields. The present study provides a new way todetermine the boson radius, and furthermore demonstrates the power of themutual information to extract more refined information of conformal fieldtheory than the central charge.

Mutual Information and Boson Radius in c=1 Critical Systems in One Dimension