Topics in Statistic Mechanics
Topics in Statistic Mechanics
Topics in Statistic Mechanics
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Adv. Sta. Phy. Homework 7 Renormalization Group Li,Zimeng PB06203182<br />
So free energy is<br />
S<strong>in</strong>ce the s<strong>in</strong>gularity of f occurs at k=0 <strong>in</strong> the long wave section, therefore the second<br />
part of f has noth<strong>in</strong>g to do with critical phenomena (which is s<strong>in</strong>gular). We will thus omit<br />
short wave part <strong>in</strong> H and f. We have<br />
(1.3.1)<br />
This is the coarse gra<strong>in</strong> transformation.<br />
[2]Rescal<strong>in</strong>g<br />
We need to rescale <strong>in</strong> order to remove the difference between (1.2.2) and (1.3.1)<br />
We <strong>in</strong>troduce <strong>in</strong> lk=k' and where is the rescal<strong>in</strong>g of sp<strong>in</strong><br />
Def<strong>in</strong>e r'= and h''=h'<br />
We have
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