  QCD-like theories can be engineered to remain in a confined phase when
compactified on an arbitrarily small circle, where their features may be
studied quantitatively in a controlled fashion. Previous work has elucidated
the generation of a non-perturbative mass gap and the spontaneous breaking of
chiral symmetry in this regime. Here, we study the rich spectrum of hadronic
states, including glueball, meson, and baryon resonances. We find an
exponentially growing Hagedorn density of states, as well as the emergence of
non-perturbative energy scales given by iterated exponentials of the inverse
Yang-Mills coupling $g^2$.
