  Quantum dynamics of in-plane Josephson junctions between two d-wave
superconducting films is described by the anisotropic XY-model where both,
quasiparticle and Cooper pair tunneling terms, appear to be equally non-local.
Applying a combination of the weak and strong coupling analyses to this model,
we find a compelling evidence of a dissipative phase transition. The
corresponding critical behavior is studied and contrasted with that found
previously in the conventional (s-wave) Josephson junctions.
