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Charting the different phases of Yang-Mills-Chern-Simons-Higgs theories

Daniel O. R. Azevedo1,*, Gustavo P. de Brito2,†, Philipe De Fabritiis3,‡, and Antonio D. Pereira4,§

  • 1Instituto de Física, Facultad de Ingeniería, Universidad de la República, J. H. y Reissig 565, 11000 Montevideo, Uruguay
  • 2Universidade Estadual Paulista (UNESP), Faculdade de Engenharia e Ciências de Guaratinguetá, Av. Dr. Ariberto Pereira da Cunha, 333, 12516-410, Guaratinguetá, SP, Brazil
  • 3CBPF-Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, 22290-180, Rio de Janeiro, Brazil
  • 4Instituto de Física, Universidade Federal Fluminense, Campus da Praia Vermelha, Av. Litorânea s/n, 24210-346, Niterói, RJ, Brazil

  • *Contact author: azevedo.dor@gmail.com
  • †Contact author: gp.brito@unesp.br
  • ‡Contact author: pdf321@cbpf.br
  • §Contact author: adpjunior@id.uff.br
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Phys. Rev. D 114, 045014 – Published 25 August, 2026

DOI: https://doi.org/10.1103/gxv7-845r

Abstract

We explore Yang-Mills-Chern-Simons theories coupled to a Higgs-like field in the fundamental representation of SU(2) quantized in linear covariant gauges in three Euclidean dimensions. We analyze the modifications in the analytic structure of the gluon propagator due to the elimination of infinitesimal Gribov copies. The interplay between the Higgs, the Chern-Simons, and Gribov mass parameters is investigated. Two different phases are identified: a confining one, where all poles are complex, and a deconfined one, where would-be physical gluon excitation can appear. Unlike previous works, the Gribov parameter is consistently fixed by its gap equation as a function of the other mass parameters and the gauge coupling. This imposes a constraint in the parameter space and makes transparent how the competition of the mass parameters affects the relevance of the Gribov parameter for the characterization of the spectrum of the theory.

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Phys. Rev. D 114, 045014– Published 25 August, 2026
  • Received 8 June 2026
  • Accepted 29 July 2026
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