  We show that the ground state of the periodic long range Josephson array
frustrated by magnetic field is a glass for a sufficiently large Josephson
energies despite the absence of a quenched disorder. Like superconductors, this
glass state has non-zero phase stiffness and Meissner response; for smaller
Josephson energies the glass "melts" and the ground state loses the phase
stiffness and becomes insulating. We find the critical scaling behavior near
this quantum phase transition: the excitation gap vanishes as (J-J_c)^2, the
frequency-dependent magnetic susceptibility behaves as \chi(\omega) ~
\sqrt{\omega}\ln{\omega}.
