Conformal invariance and linear defects in the two-dimensional Ising model
Abstract
Using conformal invariance, we show that the non-universal exponent eta0 associated with the decay of correlations along a defect line of modified bonds in the square-lattice Ising model is related to the amplitude A0=xin/n of the correlation length ξn(Kc) at the bulk critical coupling Kc, on a strip with width n, periodic boundary conditions and two equidistant defect lines along the strip, through A0=(πη0)-1.
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