  Crystal dislocations govern the plastic mechanical properties of materials
but also affect the electrical and optical properties. However, a fundamental
and quantitative quantum-mechanical theory of dislocation remains undiscovered
for decades. Here we present an exactly solvable quantum field theory of
dislocation, for both edge and screw dislocations in an isotropic medium by
introducing a new quasiparticle "dislon". With this approach, the
electron-dislocation relaxation time is studied from electron self-energy which
can be reduced to classical results. Moreover, a fundamentally new type of
electron energy Friedel oscillation near dislocation core is predicted, which
can occur even with single electron at present. For the first time, the effect
of dislocations on materials' non-mechanical properties can be studied at a
full quantum field theoretical level.
