Confinement interpretation in a Yang-Mills + Higgs theory when considering Gribov's ambiguity

Abstract

This work presents concisely the results obtained from the analysis of the two-point function of the gauge field in the $SU(2)$ and $SU(2)\times U(1)$ gauge theories, in the Landau gauge, coupled to a scalar Higgs field in the fundamental or adjoint representation. Non-perturbative effects are considered by taking into account the Gribov ambiguity. In general, in both Yang-Mills models the gluon propagator has non-trivial contributions of physical and non-physical modes, which clearly depends on the group representation of the Higgs field. These results were presented during the Fourth Winter Workshop on Non-perturbative Quantum Field Theory, which took place in Sophia-Antipolis - France.

27 pages; review based on the talk given by one of the authors, I. F. Justo, during the Fourth Winter Workshop on Non-perturbative Quantum Field Theory, at Sophia-Antipolis, France, Feb. 2015

References in corpus (10)

• Indirect lattice evidence for the Refined Gribov-Zwanziger formalism and the gluon condensate $⟨A^2⟩$ in the Landau gauge
• On the Ambiguity of Spontaneously Broken Gauge Symmetry
• Introduction to the Gribov Ambiguities In Euclidean Yang-Mills Theories
• Alternative refined Gribov-Zwanziger Lagrangian
• BRST-Symmetry Breaking and Bose-Ghost Propagator in Lattice Minimal Landau Gauge
• Accessing directly the properties of fundamental scalars in the confinement and Higgs phase
• Confinement in Polyakov Gauge
• A spectroscopical analysis of the phase diagram of Yang-Mills-Higgs theory
• On bounds and boundary conditions in the continuum Landau gauge
• Effect of the Gribov horizon on the Polyakov loop and vice versa