Charging the conformal window at nonzero 
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 angle

Bersini, Jahmall; d'Alise, Alessandra; Sannino, Francesco; Torres, Matías

doi:10.1103/physrevd.107.125024

Phys. Rev. D

2023

DOI: 10.1103/physrevd.107.125024

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Charging the conformal window at nonzero θ angle

Jahmall Bersini

Alessandra d'Alise

Francesco Sannino

et al.

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Cited by 3 publications

References 74 publications

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Composite hybrid inflation: dilaton and waterfall pions

Cacciapaglia,

Cheong,

Deandrea

et al. 2023

J. Cosmol. Astropart. Phys.

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We investigate the possibility that inflation originates from a composite field theory, in terms of an effective chiral Lagrangian involving a dilaton and pions. The walking dynamics of the theory constrain the potential in a specific way, where the anomalous dimensions of operators involving pions play a crucial role. For realistic values of the anomalous dimensions, we find a successful hybrid inflation occurring via the dilaton-inflaton, with the pions acting as waterfall fields. Compositeness consistency strongly constrain the model, predicting a dilaton scale fχ ∼ 𝒪 (1) in unit of the Planck scale, an inflation scale H inf ∼ 1010 GeV, and the pion scale around 1014 GeV. We further discuss possible phenomenological consequences of this theory.

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Composite hybrid inflation: dilaton and waterfall pions

Cacciapaglia,

Cheong,

Deandrea

et al. 2023

J. Cosmol. Astropart. Phys.

View full text Add to dashboard Cite

show abstract

Scaling results for charged sectors of near conformal QCD

Bersini,

D’Alise,

Gambardella

et al. 2024

Phys. Rev. D

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We provide the leading near conformal corrections on a cylinder to the scaling dimension of the lowest-lying fixed isospin charge Q operators defined at the lower boundary of the quantum chromodynamics conformal window, Δ˜Q=Δ˜Q*+(mσ4πν)2QΔ3B1+(mπ(θ)4πν)4Q23(1−γ)B2+O(mσ4,mπ8,mσ2mπ4). Here, Δ˜Q/r is the classical ground state energy of the theory on R×Sr3 at fixed isospin charge while Δ˜Q* is the scaling dimension at the leading order in the large charge expansion. In the conformal limit mσ=mπ=0, the state-operator correspondence implies Δ˜Q=Δ˜Q*. The near-conformal corrections are expressed in powers of the dilaton and pion masses in units of the chiral symmetry breaking scale 4πν with the θ-angle dependence encoded directly in the pion mass. The characteristic Q-scaling is dictated by the quark mass operator anomalous dimension γ and the one characterizing the dilaton potential Δ. The coefficients Bi with i=1,2 depend on the geometry of the cylinder and properties of the nearby conformal field theory. Published by the American Physical Society 2024

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Dilatonic dynamics of baryonic crystals, branes, and spheres

Bersini,

D’Alise,

Sannino

et al. 2024

Phys. Rev. D

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We systematically analyze the impact of dilatonic dynamics on Skyrme spheres, crystals, and branes. The effects of the dilatonic model parameters, encompassing different underlying near-conformal dynamics, on the macroscopic properties of skyrmions such as their mass and radius are discussed. For spheres and crystals we identify special values of the ratio of the decay constants for which the second order differential equations reduce to a solvable first order system. Additionally, in the case of the crystals, the dilaton presence spatially separates the baryon and isospin charge distributions. For branes, we show how the dilaton smooths out their configurations. Our results are expected to have wide implications from the study of near-conformal dynamics stemming from QCD-like theories to phenomenological investigations of nuclear matter in extreme regimes. Published by the American Physical Society 2024

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Charging the conformal window at nonzero θ angle

Cited by 3 publications

References 74 publications

Composite hybrid inflation: dilaton and waterfall pions

Composite hybrid inflation: dilaton and waterfall pions

Scaling results for charged sectors of near conformal QCD

Dilatonic dynamics of baryonic crystals, branes, and spheres

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