Consider the one-dimensional I sing model with an external magnetic field. With suitably reduced variables, the canonical partition function is                        (a)   Show that by summing over...

Consider the one-dimensional I sing model with an external magnetic field. With suitably reduced variables, the canonical partition function is

(a)   Show that by summing over all the even spins

Where

and

(b)   Discuss the flow pattern for the renormalization equations, h’ = h’ (h, K), k’ = (K, h) in the two-dimensional parameter space (K, h),

(c)   Start with the estimate that at K =0.001,

follow the flow of the RG transformations for several values of h, and estimate g (1, 1) from the RG equations.