The Characteristics of the Z-Boson in Chern-Simons Matter Theory

We consider the Chern-Simons theory coupled to massive fundamental matter in three spacetime dimensions, focusing on the Higgsed phase of the bosonic matter in the large N limit. To study the characteristics of the Z-boson in the Higgsed phase and address an apparent puzzle regarding its fermionic analogue, we employ the 3d Bose-Fermi duality to derive the exact large N result for the two-point function of the Z-boson. We study the spectral representation of the Z-boson and find that, in the large N limit, it behaves as an unstable resonance with a non-perturbatively large lifetime at weak coupling.