Analytic pseudo-Goldstone bosons

We consider the interplay between explicit and spontaneous symmetry breaking in strongly coupled field theories. some well-known statements, such as the gell-mann-oakes-renner relation, descend directly from the ward identities and have thus a general relevance. such ward identities are recovered in gauge/gravity dual setups through holographic renormalization. in a simple paradigmatic three dimensional toy-model, we find analytic expressions for the two-point correlators which match all the quantum field theoretical expectations. moreover, we have access to the full spectrum, which is reminiscent of linear confinement.