The Conformal Bootstrap for Bose Condensation of AN Interacting Fluid.
Abstract
Using field theoretic techniques, Bose fluid with twobody interaction in less than four dimensions was studied. Assuming the existence of a lambdaline 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 nvector) model with n = 2. This assures the applicability to the Bose fluid of nvector model results, specifically etaexpansion calculations. Sufficient conditions are found to obtain a dilatationand conformalinvariant 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 infiniterenormalization limit exactly on the phasetransition line.
 Publication:

Ph.D. Thesis
 Pub Date:
 1976
 Bibcode:
 1976PhDT........64A
 Keywords:

 Physics: General;
 Bose Geometry;
 Condensing;
 Fluid Flow;
 Integral Equations;
 Invariance;
 Perturbation Theory;
 Spin;
 Vectors (Mathematics);
 Fluid Mechanics and Heat Transfer