It is show that a strong magnetic field applied to a bulk metal induces a L
uttinger-liquid phase. This phase is characterized by the zero-bias anomaly
in tunneling: the tunneling conductance scales as a power law of voltage o
r temperature. The tunneling exponent increases with the magnetic field as
B ln B. The zero-bias anomaly is most pronounced for tunneling with the fie
ld applied perpendicular to the plane of the tunneling junction.