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to understand the renormalization of phi^4 theory, I read Peskin Schröder and Ryder. In both books important steps are left out. I found the following identity in Peskin Schöder "An Introduction to Quantum Field Theory" on page page 808, equation A.52 (Appendix)

[tex] \frac{\Gamma(2 - \frac{d}{2})}{(4\pi)^{\frac{d}{2}}} \left( \frac{1}{\Delta} \right)^{2-\frac{d}{2}} = \frac{1}{(4\pi)^2} \left( \frac{2}{\epsilon} - log(\Delta) - \gamma + log(4\pi) + O(\epsilon)\right)[/tex]

Now I want to prove that explicitly, but I don't know how to start and how the logarithm on the right hand side appears.

Could anyone help me?

Regards,

Mr. Fogg

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# Renormalization of phi^4 Theory d dimensional Integral, Derivation in Peskin Schröder

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