The SU(2) adjoint Higgs model

Baier, Rudolf; Reusch, H. J.

doi:10.1016/0550-3213(87)90353-1

Cited by 7 publications

(3 citation statements)

References 34 publications

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“…Numerical studies of the lattice version of these models [1,2,3,4,5,6,7,8,9] have already revealed a rich structure of the corresponding phase diagram, as well as mean-field approaches to the underlying lattice models as in [10,11,12]. What emerges from the lattice works is that the transition between the confinement and the Higgs phase strongly depends on the representation of the Higgs field.…”

Section: Introductionmentioning

confidence: 99%

Semiclassical analysis of the phases of4dSU(2)Higgs gauge systems with cutoff at the Gribov horizon

et al. 2013

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We present an analytical study of continuum 4d SU (2) gauge Higgs models with a single Higgs field with fixed length in either the fundamental or adjoint representation. We aim at analytically probing the renowned predictions of Fradkin & Shenker on the phase diagram in terms of confinement versus Higgs behaviour, obtained for the lattice version of the model. We work in the Landau version of the 't Hooft R ξ gauges in which case we can access potential nonperturbative physics related to the existence of the Gribov copies. In the fundamental case, we clearly show that in the perturbative regime of small gauge coupling constant g and large Higgs vacuum expectation value ν, there is a Higgs phase with Yukawa gauge boson propagators without Gribov effects. For a small value of the Higgs vev ν and/or large g, we enter a region with Gribov type propagators that have no physical particle interpretation: the gauge bosons are as such confined. The transition between both behaviours is found to be continuous. In the adjoint case, we find evidence of a more drastic transition between the different behaviours for the propagator of the off-diagonal gauge bosons, whereas the "photon", i.e. the diagonal component of the gauge field, displays a propagator of the Gribov type. In the limit of infinite Higgs condensate, we show that a massless photon is recovered. We compare our findings with those of Fradkin & Shenker as well as with more recent numerical lattice simulations of the fundamental Higgs model. We also carefully discuss in which region of the parameter space (ν, g) our approximations are trustworthy.

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Section: Introductionmentioning

confidence: 99%

Semiclassical analysis of the phases of4dSU(2)Higgs gauge systems with cutoff at the Gribov horizon

et al. 2013

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“…This phase boundary is just an artifact of the specific Mean Field approach that we have adopted. The problem has already been recognised before [17] and alternative mean field approaches have been devised, which avoid this unphysical behaviour. However they seem rather ad hoc.…”

Section: Discussionmentioning

confidence: 99%

Phase diagram for the anisotropic SU(2) adjoint Higgs model in 5D: Lattice evidence for layered structure

2002

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We explore, by Monte Carlo and Mean Field methods, the five-dimensional SU(2) adjoint Higgs model. We allow for the possibility of different couplings along one direction, describing the so-called anisotropic model. This study is motivated by the possibility of the appearance of four-dimensional layered dynamics. Actually, our results lead to the conclusion that the establishment of a layered phase in four dimensions described by U(1) symmetry is possible, the extra dimension being confined due to the SU(2) gauge symmetry. The five-dimensional adjoint Higgs model turns out to have a layered phase, in contradistinction with what is known about the pure SU (2)

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“…Although the structure of the phase diagram for this lattice model is reasonably well known [3][4][5][6][7], it is an open question where possible continuum limits may be taken. One obvious candidate is the critical point at vanishing gauge coupling, presumably in the universality class of the gaussian model.…”

Section: Introductionmentioning

confidence: 99%

The renormalization flow in the adjoint SU(2) lattice Higgs model

Baier¹,

Lang²,

Reusch³

1988

Nuclear Physics B

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Applying the Monte Carlo renormalization group method we investigate the flow of coupling constants for the 84 and 164 SU(2) lattice Higgs model with triplet Higgs fields. The couplings of the renormalized actions are determined using Schwinger-Dyson equations. From the flow we find new evidence for the existence of a tricritical point at finite values of the inverse gauge coupling fl but no indication for a discontinuity fixed point.

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The SU(2) adjoint Higgs model

Cited by 7 publications

References 34 publications

Semiclassical analysis of the phases of4dSU(2)Higgs gauge systems with cutoff at the Gribov horizon

Semiclassical analysis of the phases of4dSU(2)Higgs gauge systems with cutoff at the Gribov horizon

Phase diagram for the anisotropic SU(2) adjoint Higgs model in 5D: Lattice evidence for layered structure

The renormalization flow in the adjoint SU(2) lattice Higgs model

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