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The problem of continuous quantum phase transitions in metals involvescritical bosons coupled to a Fermi surface. We solve the theory in the limit ofa large number, N_B, of bosonic flavors, where the bosons transform in theadjoint representation, while the fermions are in the fundamentalrepresentation of a global SU(N_B) flavor symmetry group. The leading large N_Bsolution corresponds to a non-Fermi liquid coupled to Wilson-Fisher bosons. Ina certain energy range, the fermion velocity vanishes - resulting in thedestruction of the Fermi surface. Subleading 1/N_B corrections correspond to aqualitatively different form of Landau damping of the bosonic criticalfluctuations. We discuss the model in d=3-epsilon but because of the additionalcontrol afforded by large N_B, our results are valid down to d=2. In the limitepsilon << 1, the large N_B solution is consistent with the RG analysis of Ref.1.

Non-Fermi liquid behavior of large N_B quantum critical metals