2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56826We establish an exact relation between self-avoiding branched polymers in D+2 continuum dimensions and the hard-core continuum gas at negative activity in D dimensions. We review conjectures and results on critical exponents for D+2 = 2,3,4 and show that they are corollaries of our result. We explain the connection (first proposed by Parisi and Sourlas) between branched polymers in D+2 dimensions and the Yang-Lee edge singularity in D dimensions.20 pages, 3 figures; v2: Green's function results addedMathematical PhysicsStatistical Mechanics82B41, 82B27, 82B21text