Scale and confinement phase transitions in scale invariant SU(N) scalar gauge theory

Kubo, Jisuke; Yamada, Masatoshi

doi:10.1007/jhep10(2018)003

Cited by 9 publications

(12 citation statements)

References 79 publications

(122 reference statements)

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“…3 An attempt at taking into account the effect of confinement was made in [72]. 4 The Gaussian path integral has been performed assuming a flat spacetime metric.…”

Section: Dynamical Origin Of the Planck Massmentioning

confidence: 99%

Planck mass and inflation as consequences of dynamically broken scale invariance

et al. 2019

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Classical scale invariance represents a promising framework for model building beyond the Standard Model. However, once coupled to gravity, any scale-invariant microscopic model requires an explanation for the origin of the Planck mass. In this paper, we provide a minimal example for such a mechanism and show how the Planck mass can be dynamically generated in a strongly coupled gauge sector. We consider the case of hidden SU (Nc) gauge interactions that link the Planck mass to the condensation of a scalar bilinear operator that is nonminimally coupled to curvature. The effective theory at energies below the Planck mass contains two scalar fields: the pseudo-Nambu-Goldstone boson of spontaneously broken scale invariance (the dilaton) and a gravitational scalar degree of freedom that originates from the R 2 term in the effective action (the scalaron). We compute the effective potential for the coupled dilaton-scalaron system at one-loop order and demonstrate that it can be used to successfully realize a stage of slow-roll inflation in the early Universe. Remarkably enough, our predictions for the primordial scalar and tensor power spectra interpolate between those of standard R 2 inflation and linear chaotic inflation. For comparatively small gravitational couplings, we thus obtain a spectral index ns 0.97 and a tensor-to-scalar ratio as large as r 0.08. Contents

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“…3 An attempt at taking into account the effect of confinement was made in [72]. 4 The Gaussian path integral has been performed assuming a flat spacetime metric.…”

Section: Dynamical Origin Of the Planck Massmentioning

confidence: 99%

Planck mass and inflation as consequences of dynamically broken scale invariance

et al. 2019

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“…It turns out, however, that the potential parameters in the Haar-type PLMs are inconsistent with the lattice data on thermodynamic quantities in SU(N ) gauge theory, in terms of the large N scaling. We come to this conclusion with great help from the work of Kubo [33], and let us explain the details in the following.…”

Section: Jhep09(2021)060mentioning

confidence: 99%

“…The Haar-type PLM, generalized from the original model for N = 3 [30,44] to any color [33], thus goes like…”

Section: The Modelsmentioning

confidence: 99%

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Dark confinement-deconfinement phase transition: a roadmap from Polyakov loop models to gravitational waves

Kang

Zhu

Matsuzaki

2021

J. High Energ. Phys.

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We explore the confinement-deconfinement phase transition (PT) of the first order (FO) arising in SU(N) pure Yang-Mills theory, based on Polyakov loop models (PLMs), in light of the induced gravitational wave (GW) spectra. We demonstrate that the PLMs with the Haar measure term, involving models successful in QCD with N = 3, are potentially incompatible with the large N scaling for the thermodynamic quantities and the latent heat at around the criticality of the FOPT reported from the lattice simulations. We then propose a couple of models of polynomial form, which we call the 4-6 PLM (with four- and six-point interactions among the basic PL fields which have center charge 1) and 4-8 PLM (with four- and eight-point interactions), and discuss how such models can naturally arise in the presence of a heavy PL with charge 2. We show that those models give the consistent thermodynamic and large N properties at around the criticality. The predicted GW spectra are shown to have high enough sensitivity to be probed in the future prospected interferometers such as BBO and DECIGO.

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“…This situation corresponds to the so-called classical scale invariance at the Planck scale [47][48][49]. In this case, the electroweak scale has to be generated by the dimensional transmutation by the Coleman-Weinberg mechanism [15,[50][51][52][53] or strong dynamics [9,[54][55][56][57][58][59][60][61][62]. See also [63].…”

Section: Criteria For Constructing Modelmentioning

confidence: 99%

Scalegenesis and fermionic dark matters in the flatland scenario

2020

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We propose an extension of the standard model with Majorana-type fermionic dark matters based on the flatland scenario where all scalar coupling constants, including scalar mass terms, vanish at the Planck scale, i.e. the scalar potential is flat above the Planck scale. This scenario could be compatible with the asymptotic safety paradigm for quantum gravity. We search the parameter space so that the model reproduces the observed values such as the Higgs mass, the electroweak vacuum and the relic abundance of dark matter. We also investigate the spin-independent elastic cross section for the Majorana fermions and a nucleon. It is shown that the Majorana fermions as dark matter candidates could be tested by dark matter direct detection experiments such as XENON, LUX and PandaX-II. We demonstrate that within the minimal setup compatible with the flatland scenario at the Planck scale or asymptotically safe quantum gravity, the extended model could have a strong predictability.

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Scale and confinement phase transitions in scale invariant SU(N) scalar gauge theory

Cited by 9 publications

References 79 publications

Planck mass and inflation as consequences of dynamically broken scale invariance

Planck mass and inflation as consequences of dynamically broken scale invariance

Dark confinement-deconfinement phase transition: a roadmap from Polyakov loop models to gravitational waves

Scalegenesis and fermionic dark matters in the flatland scenario

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