Phase diagram of<b>SU</b>(2) with 2 flavors of dynamical adjoint quarks

Catterall, Simon; Giedt, Joel; Sannino, Francesco; Schneible, Joe

doi:10.1088/1126-6708/2008/11/009

Cited by 168 publications

(190 citation statements)

References 57 publications

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“…We notice qualitative similarities between our system and observations of SU(2) gauge theory with N f = 2 flavors of adjoint fermions, reported at this meeting or near it [11,12,13]. In these systems, at large β and near κ c the π/ρ mass ratio appears to remain near unity while the string tension a 2 σ becomes small.…”

Section: Pos(lattice 2008)063supporting

confidence: 83%

Exploring the phase diagram of sextet QCD

DeGrand¹,

Svetitsky²,

Shamir³

2009

Proceedings of the XXVI International Symposium on Lattice Field Theory — PoS(LATTICE 2008)

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As a follow up to the previous talk about the beta function of SU(3) gauge theory with N f = 2 symmetric representation (clover) fermions, we describe our explorations of the beta-kappa plane, away from the massless limit. Our simulations are mostly done on lattices of length L = 8 and 12. We observe a phase transition from a strong coupling confined phase to a deconfined, chirally restored phase. The line of transitions avoids (so far) the location of the infrared fixed point discussed in the last talk.

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Section: Pos(lattice 2008)063supporting

confidence: 83%

Exploring the phase diagram of sextet QCD

DeGrand¹,

Svetitsky²,

Shamir³

2009

Proceedings of the XXVI International Symposium on Lattice Field Theory — PoS(LATTICE 2008)

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“…The SU(4) TC model with technifermions in the two-index antisymmetric representation is equivalent to the SO(6) theory which gives 1/π. There are strong indications, from analytic [1,3,5], as well as lattice studies [33] that the MWT model is indeed (near) conformal. Based on this we propose a new minimal candidate walking technicolor model including in its spectrum the iTIMP dark matter candidate: The SO(4) gauge theory with 2 Dirac flavors (equivalently 4 Weyl flavors) in the vector representation which we term the OMT model.…”

Section: Models For the Itimpmentioning

confidence: 99%

“…The naive S parameter is 2 3π and the model appears safely outside the conformal window using both the Schwinger-Dyson and the conjectured all orders beta function. However, if the MWT model is truly conformal [33] then by inspecting the phase diagram, the OMT model might be walking.…”

Section: Models For the Itimpmentioning

confidence: 99%

Isotriplet technicolor interacting massive particle as dark matter

Frandsen

Sannino

2010

Phys. Rev. D

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We suggest that a weak isotriplet composite scalar possessing an unbroken U(1) global symmetry naturally arises in technicolor models leading to an interesting type of dark matter candidate: the iTIMP. We propose explicit models of the iTIMP, study earth based constraints and suggest possible collider signals. INTRODUCING THE iTIMPRecent progress in the understanding of the phase diagram of asymptotically free gauge theories [1,2,3,4,5] has led to renewed interest in models of dynamical electroweak symmetry breaking [6]. For a recent review of the latest developments see [7] while an earlier review is [8]. Explicit examples of technicolor models, not in conflict with electroweak precision tests, have been put forward in [1,2,3,9,10]. The simplest incarnations of these models are known as (Ultra) Minimal Walking Technicolor models [1, 2, 3, 10] and indicated in short by MWT and UMT respectively. The principal feature is that the gauge dynamics is such that one achieves (near) conformal dynamics for a small number of flavors and colors. Cold dark matter candidates can be constructed via either the lightest technibaryon, here termed Technicolor Interacting Massive Particles (TIMP)s [10,11,12,13], or new heavy leptons naturally associated to the technicolor theory [14]. The TIMP is naturally of asymmetric dark matter type [11], meaning that its relic density does not have a thermal origin. Within the (U)MWT models such a relic density has been estimated in [10,12] and the results can be used for the dark matter envisioned below. For models addressing explicitly the issues of extended technicolor interactions (ETC) [15], some of which include TIMP type dark matter candidates, see e.g. [16]. These models require information on the phase diagram of chiral gauge theories [7], see also [17].Here we suggest that some of the most phenomenologically interesting candidates are electroweak charged technibaryons. These are identified with the lightest of the weak isotriplet technibaryon states which we term iTIMP. They can be pseudo-Goldstone bosons and thus naturally light with respect to the TeV scale. The presence of generic isospin splitting dramatically reduces the cross section of the iTIMP with ordinary nuclei making them phenomenologically viable cold dark matter candidates.The iTIMP is the neutral isospin zero component of a weak complex triplet with the following electric chargespossessing also an extra U(1) TB technibaryon number. We require that I 3 (T 0 ) = 0 with I 3 the weak isospin operator and assume that T 0 is the lightest state in the triplet due to isospin interactions raising the masses of T ± . This is true for the ordinary pions in QCD, where the mass splittings are of the order of m π ± − m π 0 ∼ 5 MeV. By scaling up this mass splitting to the electroweak scale we estimate: ∆M ≡ M T ± − M T 0 ∼ O(10) GeV. A more precise estimate is [18]:

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“…A vast body of literature exists on its spectrum [33][34][35][36][37][38][39][40][41][42], on the running of its coupling [43][44][45][46][47] and on the anomalous dimension of its chiral condensate [48][49][50][51][52]. From a phenomenological point of view, this theory is likely to be of limited relevance, since the anomalous dimension of the condensate is small.…”

Section: Lattice Formulation and Setupmentioning

confidence: 99%

Large mass hierarchies from strongly-coupled dynamics

Athenodorou

Bennett

Bergner

et al. 2016

J. High Energ. Phys.

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Besides the Higgs particle discovered in 2012, with mass 125 GeV, recent LHC data show tentative signals for new resonances in diboson as well as diphoton searches at high center-of-mass energies (2 TeV and 750 GeV, respectively). If these signals are confirmed (or other new resonances are discovered at the TeV scale), the large hierarchies between masses of new bosons require a dynamical explanation. Motivated by these tentative signals of new physics, we investigate the theoretical possibility that large hierarchies in the masses of glueballs could arise dynamically in new strongly-coupled gauge theories extending the standard model of particle physics. We study lattice data on non-Abelian gauge theories in the (near-)conformal regime as well as a simple toy model in the context of gauge/gravity dualities. We focus our attention on the ratio R between the mass of the lightest spin-2 and spin-0 resonances, that for technical reasons is a particularly convenient and clean observable to study. For models in which (non-perturbative) large anomalous dimensions arise dynamically, we show indications that this mass ratio can be large, with R > 5. Moreover, our results suggest that R might be related to universal properties of the IR fixed point. Our findings provide an interesting step towards understanding large mass ratios in the non-perturbative regime of quantum field theories with (near) IR conformal behaviour.

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Phase diagram ofSU(2) with 2 flavors of dynamical adjoint quarks

Cited by 168 publications

References 57 publications

Exploring the phase diagram of sextet QCD

Exploring the phase diagram of sextet QCD

Isotriplet technicolor interacting massive particle as dark matter

Large mass hierarchies from strongly-coupled dynamics

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