What question did this study set out to answer?

This research aims to analyze the phase diagram of lattice gauge theories that include Higgs fields and their representation effects.

Phase diagrams of lattice gauge theories with Higgs fields

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Research explores phase diagrams in lattice gauge theories with Higgs fields, suggesting implications for gauge transitions.

This research aims to analyze the phase diagram of lattice gauge theories that include Higgs fields and their representation effects.
Examined various gauge groups including Z2, U(1), and SU(N).
Considered Higgs fields in fundamental and other representations to study phase connections.
Utilized arguments regarding the stability of pure gauge transitions based on Wegner's theory.
Found that Higgs fields in the fundamental representation connect Higgs and confining phases smoothly without a phase boundary.
Identified potential phase boundaries for SU(N) with adjoint representation and U(1) with charge-N representation.
Acknowledged the presence of a Coulomb phase where massless gauge bosons exist for continuous groups.

Fradkin et al. (1979) studied this question.

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