Phenomenological renormalization of a polymer chain the strip method

4 Phenomenological renormalization of a polymer chain the strip method 

The principle of the calculation is as follows. Let us consider a two-dimensional lattice, infinite in one dimension and of width n in the other one (this lattice is a strip see Fig. 12.2). Let us associate random variables with the lattice 

The exact result (obtained by Nienhuis in 1982) is v = 3/4 see Section 4 of the present chapter. 

Let us calculate the same quantity for other values m and y of n and x. We have 

A correspondence can be established between the lattices of widths n and m in such a way that 

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