A fully back-reacted holographic dual of a four-dimensional field theory is constructed to exhibit chiral symmetry breaking. Two possible models are considered by studying the effects of a five-dimensional field, dual to the quark-antiquark operator. One model has smooth geometry at all radii and the other dynamically generates a cutoff at finite radius. Both of these models satisfy Einstein's field equations. The second model has only three free parameters, as in QCD, it is shown that this gives consistent results. It is discussed that in order to obtain linear confinement from a back-reacted model it may be necessary to consider the condensate of a dimension two operator.

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