Topics in Statistic Mechanics

Adv. Sta. Phy. Homework 7 Renormalization Group Li,Zimeng PB06203182
Compare (1.2.2) with above, we conclude
and we return to (1.2.2) and get
the following RG recurrence relation or RG transformation:
1.4 Derive the Gaussian fix points and Critical exponents
We obviously get one unstable fix point (0,0) in the RG recurrence relation (1.3.2) above
Referring to Appendix 1, we have =
where and are eigenvalue of RG transformation (1.3.2)
With the following known relation:
We conclude
2.Define RG in the language of Ginzburg-Landau model
2.1 Introduction to Ginzburg-Landau Model
In Ginzburg Landau model we change the weighing function to the form
infinity. (see Sec. 1.1)
to ensure convergence since the domain has been extended to
We thus get the known model (or model), which Z is rewritten as