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Springer Lecture Notes in Physics 716

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7 Field-Theory Approaches to Nonequilibrium Dynamics 319<br />

where B d = Γ (4 − d/2)/2 d dπ d/2 , Eq. (7.101) implies the identity [9]<br />

Z g = Z S . (7.103)<br />

For the RG beta function associated with the effective coupl<strong>in</strong>g enter<strong>in</strong>g the<br />

loop corrections, we thus <strong>in</strong>fer<br />

β f = µ ∂<br />

∂µ ∣ f R = f R (d − 6+γ S − 2 γ D ) . (7.104)<br />

0<br />

Consequently, at any nontrivial IR-stable RG fixed po<strong>in</strong>t 0

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