The Conformal Bootstrap for Bose Condensation of AN Interacting Fluid.

Using field theoretic techniques, Bose fluid with two-body interaction in less than four dimensions was studied. Assuming the existence of a lambda-line along which Bose condensation occurs, a diagrammatic argument to establish the equivalence was given, near this phase transition, of the renormalized perturbation theory for this model to that for the O(n)-symmetric continuous spin (or n-vector) model with n = 2. This assures the applicability to the Bose fluid of n-vector model results, specifically eta-expansion calculations. Sufficient conditions are found to obtain a dilatation-and conformal-invariant set of integral equations, called the conformal bootstrap for its homogeneous form, from a set of exact integral equations for the interaction Bose fluid. The procedure is to take an infinite-renormalization limit exactly on the phase-transition line.