The transition to a layered phase in the anisotropic five-dimensional SU(2) Yang–Mills theory

Debbio, Luigi Del; Kenway, R.D.; Lambrou, Eliana; Rinaldi, Enrico

doi:10.1016/j.physletb.2013.05.062

Cited by 12 publications

(13 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, their reconciliation was confirmed by the discovery of a global symmetry in [24]; it is the spontaneous breaking of this global symmetry which leads to the BEH mechanism in the context of non-perturbative GHU models [25]. Other previous explorations of this theory have focused on the case of a toroidal geometry which is known to posses confined and de-confined phases separated by a first-order phase transition [26][27][28][29][30]; second-order transitions due to compactification were studied in [27,31,32], and the scalar spectrum was measured in [33].…”

Section: Introductionmentioning

confidence: 99%

Five-dimensional Gauge-Higgs Unification: a Standard Model-like Spectrum

Alberti

Irges

Knechtli

et al. 2015

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We study the viability of five-dimensional gauge theories as candidates for the origin of the Higgs field and its mechanism for spontaneous symmetry breaking. Within the framework of lattice field theory, we consider the simplest model of an SU(2) gauge theory. We construct this theory on a five-dimensional orbifold which explicitly breaks the gauge symmetry to U(1) at the fixed points of the orbifold. Using anisotropic gauge couplings, we find that this theory exhibits three distinct phases which we label as confined, Higgs and hybrid. Within the Higgs phase, close to the Higgs-hybrid phase transition, we find that the ratio of the Higgs to gauge boson masses takes Standard Model-like values. Precisely in this region of the phase diagram, we find dimensional reduction via localisation.

show abstract

Section: Introductionmentioning

confidence: 99%

Five-dimensional Gauge-Higgs Unification: a Standard Model-like Spectrum

Alberti

Irges

Knechtli

et al. 2015

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Before we get bored with the restricted theory space of Figure 1 which will be my primary focus in the talk, other interesting contributions at Lattice 2013 reminded us that the scope of the theory space can be extended significantly in the BSM paradigm. This includes SUSY with contributions [82][83][84][85] and 4+1 dimensional Kaluza-Klein and Gauge-Higgs unification [86][87][88][89] which some reference as the Hosotani-mechanism. I illustrate some highlights of 4+1 dim results in Figure 2.…”

Section: Pos(kmi2013)002mentioning

confidence: 99%

The Higgs particle and the lattice

Kuti¹

2015

Proceedings of KMI International Symposium 2013 on “Quest for the Origin of Particles and the Universe — PoS(KMI2013)

View full text Add to dashboard Cite

Recent non-perturbative lattice studies beyond the Standard Model (BSM) is the main focus of this review which is based on a plenary talk at Lattice 2013 [1] followed within a short time by a similar review at the KMI symposium. I was delighted to highlight in Nagoya the excellent contributions of the LatKMI collaboration. This group has grown into a major international force in lattice BSM studies soon after the inauguration of KMI. The review is limited to selected topics and does not include new developments of the last tewelve month since the two conferences. The written version of the talks in the two proceedings had to be nearly identical. After its energy upgrade the Large Hadron Collider (LHC) will directly look for new physics including searches for supersymmetry (SUSY) and Beyond the Standard Model (BSM) signals of the composite Higgs mechanism as alternates to the elementary Higgs of the Standard Model. We will demonstrate that non-perturbative simulations of strongly coupled gauge theories (SCGT) have predictive power for experimental searches on the Energy Frontier. Lattice simulations can significantly contribute to our understanding of important BSM paradigms, like SUSY, conformal and near-conformal quantum field theories with implications for the dilaton state, or the alternative composite light scalar as the scalar pseudo-Goldstone boson from global symmetry breaking. Exploratory lattice studies identify tantalizing candidate theories for the composite Higgs mechanism with a light scalar state (Higgs impostor) on the Electroweak scale. The viability of this paradigm requires a composite resonance spectrum in the 2 TeV range, or higher, far separated from the Electroweak scale, and perhaps within the reach of Run 2 of the LHC.

show abstract

“…[9]. 2 The corresponding transition with periodic boundary conditions along the extra dimension (torus) was studied in [9], see also [10]. Fig.…”

Section: Monte Carlomentioning

confidence: 99%

Progress in Gauge-Higgs Unification on the Lattice

Knechtli¹,

Yoneyama²,

Dziennik³

et al. 2014

Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013)

View full text Add to dashboard Cite

We study a five-dimensional pure SU(2) gauge theory formulated on the orbifold and discretized on the lattice by means of Monte Carlo simulations. The gauge symmetry is explicitly broken to U(1) at the orbifold boundaries. The action is the Wilson plaquette action with a modified weight for the boundary U(1) plaquettes. We study the phase transition and present results for the spectrum and the shape of the static potential on the boundary. The latter is sensitive to the presence of a massive Z-boson, in good agreement with the directly measured Z-boson mass. The results may support an alternative view of the lattice orbifold (stemming from its mean-field study) as a 5d bosonic superconductor.

show abstract

The transition to a layered phase in the anisotropic five-dimensional SU(2) Yang–Mills theory

Cited by 12 publications

References 25 publications

Five-dimensional Gauge-Higgs Unification: a Standard Model-like Spectrum

Five-dimensional Gauge-Higgs Unification: a Standard Model-like Spectrum

The Higgs particle and the lattice

Progress in Gauge-Higgs Unification on the Lattice

Contact Info

Product

Resources

About