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Characteristics of the Z boson in Chern-Simons matter theory

Amiya Mishra*

  • *Contact author: mishramiya@gmail.com
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Phys. Rev. D 112, 125010 – Published 4 December, 2025

DOI: https://doi.org/10.1103/q8lw-9xkq

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 analog, 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 nonperturbatively large lifetime at weak coupling.

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Phys. Rev. D 112, 125010– Published 4 December, 2025
  • Received 1 September 2025
  • Accepted 6 November 2025
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