# Linear combination of anomalous dimensions in effective potential on pseudomoduli space

In the paper of Intriligator, Seiberg, and Shih from 2007, they give an expression for the effective potential on the pseudo-moduli space $X$, estimated at large $X$ (equation 1.3).

In this equation, "$\gamma$ is the anomalous dimension of a particular linear combination of them". Later on in the paper they give examples for this (eq. 4.9).

What is the formula for this $\gamma$ and how do we reach this expression?

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I suspect the derivation of the formula for the potential is in Witten's paper cited as 18, inspirehep.net/record/167850 - The "formula" for the anomalous dimension is whatever it always is. It appears in the exponent for the 2-point function of this operator, and the anomalous (non-classical) contribution itself may be determined from the coefficient of a log divergence in this 2-point function. –  Luboš Motl Dec 24 '12 at 11:41