
 [No title] 
  This is true no matter whether this interaction is accounted for by the Breit potential, by an external magnetic field which is chosen to minimize the energy, or by the quantized radiation field. 
  In contrast to most other models, where the collapse of the system, if it occurs, is due to the attraction of electrons and nuclei \cite{Liebetal1986, LiebLoss1986, LiebYau1988, Loss1997} (there would be no collapse without this interaction), the instability here is due to the attraction of parallel currents. 
  The energy of this system is unbounded from below if $N\alpha^{3/2}$ is large, $\alpha$ being the fine structure constant, even if the vector potential is restricted to lie in a two parameter class \(\{\gamma\vA_0(\delta\vx):\gamma,\delta\in \R_+\}\) where $\vA_0$ is fixed and obeys a weak condition requiring not much more than $\vA_0\not\equiv 0$. 
 www.ma.utexas.edu /mp_arc/html/papers/98719 (3566 words) 
