Quantum corrections due to wave-function symmetry

The final expression in Eq. (B.94) can be simplified by partial integration where we note that 

Using again Eq. (B.95) we realize that the integral on the right side of Eq. (B.97) may b( niwritteu as 

This last integral may be ( valuated ising function theoretical argtinients. Consider a closed integration path in the complex plane as indicated in Fig. B.5. Integrating exp(—u2 ) along this path we may write 

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