Exploratory Monte Carlo renormalization group study of the adjoint SU(2)-gauge Higgs model

Baier, Rudolf; Reusch, H. J.; Lang, C. B.

doi:10.1016/0920-5632(88)90130-2

Cited by 2 publications

(2 citation statements)

References 13 publications

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“…Preliminary results have been presented elsewhere [24]. Here we discuss the final results for the phase structure: we find evidence for the existence of a TCP around /3 = 2.7, x = 0.65.…”

Section: Introductionmentioning

confidence: 81%

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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“…Preliminary results have been presented elsewhere [24]. Here we discuss the final results for the phase structure: we find evidence for the existence of a TCP around /3 = 2.7, x = 0.65.…”

Section: Introductionmentioning

confidence: 81%

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

Baier¹,

Lang²,

Reusch³

1988

Nuclear Physics B

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“…In an analogous SU(2) Higgs model. with the scalar field in the adjoint representation, some indication for the existence of such a point has been found by the Monte Carlo renormalization group studies [34]. But we shall not know for long.…”

Section: Search For New Critical Points Caused By the Presence Of Gau...mentioning

confidence: 94%

Lattice Studies of the Higgs System

Jersák

1990

Higgs Particle(s)

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Investigation of the coupled Higgs and gauge fields on the lattice has elucidated the gauge invariant formulation and several non-perturbative aspects of the Higgs mechanism. in particular its properties for strong gauge coupling and its relationship to confinement. However. until now no indication has been found for the gauge field to inhibit the vanishing of the ~4 coupling in the limit of infinite cut-off. The scalar sector dominates the properties of the Higgs mechanism, and the cut-off cannot be removed.With the gauge sector treated therefore only perturbatively. extensive analytic and numerical calculations in the pure scalar sector of the Standard Model have been performed recently on the lattice. The results indicate that the cut-off parameter in this regularization can be substantially greater than the Higgs bo.:-on mass only if this rna.."~ is not much bigger than 640 GeV, and the scalar sector is not strongly interacting.Lattice studies of the Higgs system including fermions have been initiated. Modifications of the phase diagram due to the spontaneous chiral symmetry breaking for fermions with vectorial gauge coupling have been observed. In models with strong Yukawa coupling the fermion masses increase as the expectation value of the Higgs field decreases. Therefore a method of putting chiral fermions on the lattice in a gauge invariant way and removing the unwanted fermion doublers by means of a strong coupling of the Wilson-Yukawa type to the Higgs field is very promising and currently under investigation.Review tnlk given n.t the 8th INFN Eloi:-at.ron Pro.ic-d Workshop

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Exploratory Monte Carlo renormalization group study of the adjoint SU(2)-gauge Higgs model

Cited by 2 publications

References 13 publications

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

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

Lattice Studies of the Higgs System

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