Topics in Statistic Mechanics

Adv. Sta. Phy. Homework 7 Renormalization Group Li,Zimeng PB06203182
range is the long wave part (- )
[2] Rescale
We introduce in the following transformation (see Sec. 1.3.[2] and (1.3.2))
And we replace the corresponding items in (2.2.0), which needs the calculation of
, and get
(2.2.2)
Compare (2.2.2) and (2.1.1) we derive the RG transformation (the expression of
),which is calculated in detail below. The demonstration of (2.2.1) is also done below.
and
[3]Calculation of
There are two parts in the above equation, and we now calculate the first part.
V= and
We need to calculate