  According to the standard view classically black holes carry no hair, whereas
quantum hair is at best exponentially weak. We show that suppression of hair is
an artifact of the semi-classical treatment and that in the quantum picture
hair appears as an inverse mass-square effect. Such hair is predicted in the
microscopic quantum description in which a black hole represents a
self-sustained leaky Bose-condensate of N soft gravitons. In this picture the
Hawking radiation is the quantum depletion of the condensate. Within this
picture we show that quantum black hole physics is fully compatible with
continuous global symmetries and that global hair appears with the strength
B/N, where B is the global charge swallowed by the black hole. For large charge
this hair has dramatic effect on black hole dynamics. Our findings can have
interesting astrophysical consequences, such as existence of black holes with
large detectable baryonic and leptonic numbers.
