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Topics in Statistic Mechanics

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

We have used (2.2.2) <strong>in</strong> the above derivation.<br />

The Second term<br />

conta<strong>in</strong>s no , so it conta<strong>in</strong>s no s<strong>in</strong>gularity and<br />

(see 1.3.[1])<br />

The third and forth term<br />

Because is a Gauss <strong>in</strong>tegration, so odd number of or will make the <strong>in</strong>tegration<br />

zero.<br />

The fifth term<br />

We need to calculate<br />

here and the <strong>in</strong>tegration is Gauss type with<br />

exponent<br />

=

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