4.5. Self-duality Consider the function Z(K) = K1/4 n= eKn2 that satisfies Z(K) = Z...
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4.5. Self-duality Consider the function Z(K) = K1/4
∞
n=−∞
e−πKn2 that satisfies Z(K) = Z 1 K .
a. Show that in this case the duality relation does not imply a phase transition at K = 1.
b. How many terms are necessary in the original expression to compute Z(K) with a precision 10−4 for K = 0.01? How many terms are needed to reach the same precision by using its dual expression?
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Related Book For
Statistical Field Theory An Introduction To Exactly Solved Models In Statistical Physics
ISBN: 9780198788102
2nd Edition
Authors: Giuseppe Mussardo
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