An explicit solution of the statistical bootstrap

An explicit solution of the statistical bootstrap proposed by Frautschi is exhibited and discussed. The associated density of states is shown to be linked to the solution of a one-dimensional partition problem, arising from the infinite compositeness of hadrons in the statistical world. A configuration-space interpretation of the compositeness condition is given, and the possibility that a field-theoretic analogue of such a system exists is raised in in the context of non-polynomial Lagrangians.