Strongly coupled fixed point in ∂ ⁴ theory

We show explicitly how a fixed point can be constructed in scalar g4 theory from the solutions to a nonlinear eigenvalue problem. The fixed point is unstable and characterized by v = 2/d (correlation length exponent), n = 1/2 - d/8 (anomalous dimension). For d = 2, these exponents reproduce to those of the Ising model which can be understood from the codimension of the critical point. The testable prediction of this fixed point is that the specific heat exponent vanishes. 2d critical Mott systems are well described by this new fixed point.