A study of the Higgs and confining phases in Euclidean SU(2) Yang-Mills theories in 3d by taking into account the Gribov horizon

Abstract

We study SU(2) three-dimensional Yang-Mills theories in presence of Higgs fields in the light of the Gribov phenomenon. By restricting the domain of integration in the functional integral to the first Gribov horizon, we are able to discuss a kind of transition between the Higgs and the confining phase in a semi-classical approximation. Both adjoint and fundamental representation for the Higgs field are considered, leading to a different phase structure.

12 pages. Version accepted for publication in the EPJC

References in corpus (2)

• On the Ambiguity of Spontaneously Broken Gauge Symmetry
• Accessing directly the properties of fundamental scalars in the confinement and Higgs phase

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• Gribov gap equation at finite temperature
• Study of Yang-Mills-Chern-Simons theory in presence of the Gribov horizon
• Gauge-independent Brout-Englert-Higgs mechanism and Yang-Mills theory with a gauge-invariant gluon mass term
• SU(2) x U(1) Yang-Mills theories in 3d with Higgs field and Gribov ambiguity
• Comments on the compatibility of thermodynamic equilibrium conditions with lattice propagators
• Hints of (de)confinement in Yang-Mills-Chern-Simons theories in the maximal Abelian gauge
• Chern--Simons--Yang--Mills system in presence of Gribov horizon with fundamental Higgs matter