19.2. Feynman gas a. Derive the equation of state of the Feynman gas associated to the form...

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19.2. Feynman gas

a. Derive the equation of state of the Feynman gas associated to the form factors of the magnetization operators in the nearest-neighbour approximation. Prove that the pressure p(z) satisfies the integral equation (19.9.19).

b. Justify the accuracy of the approximation of the conformal dimensions computing the average number of particles per unit length by means of the formula

N

L

= z

∂p

∂z and checking the very dilute nature of the gas.

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