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Topics in Statistic Mechanics

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Adv. Sta. Phy. Homework 7 Renormalization Group Li,Zimeng PB06203182<br />

The follow<strong>in</strong>g discussion is based on a small or d<br />

When d>4 or<br />

, so the Gauss fixed po<strong>in</strong>t is unstable at e , but stable<br />

at e , so the Gaussian fixed po<strong>in</strong>t is a critical po<strong>in</strong>t and e is the critical surface.<br />

On the other hand,<br />

critical po<strong>in</strong>t.<br />

The Critical Exponent can be drawn from<br />

so the WF fixed po<strong>in</strong>t is unstable and not a<br />

We thus get<br />

When d

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