Topics in Statistic Mechanics

Adv. Sta. Phy. Homework 7 Renormalization Group Li,Zimeng PB06203182
where
(2.2.5) is just the RG transformation of Ginzburg-Landau model.
3.Derive the new fixed point in d=4- dimensions and the associated critical exponents
Refer to (2.2.5), we have defined d=4- here we would not limit d to integer, therefore
if d is near 4, we can expand the I at d=4 in (2.2.5) with respect to a small
Generally, we can solve the following integration if it has spherical symmetry,
Therefore we have