  I discuss the 2-flavor Schwinger model both without and with fermion masses.
I argue that the concept of "conformal coalescence," in unparticle physics in
which linear combinations of short distance operators can disappear from the
long-distance theory, makes it easy to understand some puzzling features of the
model with small fermion masses. In particular, I argue that for an average
fermion mass $m_f$ and a mass difference $\delta m$, so long as both are small
compared to the dynamical gauge boson mass $m=e\sqrt{2/\pi}$, isospin breaking
effects in the low energy theory are exponentially suppressed by powers of
$\exp\Bigl(-(m/m_f)^{2/3}\Bigr)$ even if $\delta m\approx m_f$! In the low
energy theory, this looks like exponential fine-tuning, but it is done
automatically by conformal coalescence.
