The Characteristics of the Z-Boson in Chern-Simons Matter Theory
Amiya Mishra
TL;DR
This paper investigates the properties of the Z-boson in a three-dimensional Chern-Simons matter theory, revealing it behaves as an unstable resonance with a large lifetime in the large N limit, using duality and spectral analysis.
Contribution
It provides the first exact large N computation of the Z-boson two-point function in the Higgsed phase of Chern-Simons matter theory, elucidating its resonance nature.
Findings
Z-boson acts as an unstable resonance at large N
Spectral analysis shows a non-perturbatively large lifetime
Employs 3d Bose-Fermi duality for exact results
Abstract
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.
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