Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

Lee, Jong-Wan; Lucini, Biagio; Piai, Maurizio

doi:10.1007/jhep04(2017)036

Cited by 29 publications

(41 citation statements)

References 60 publications

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“…These results are consistent with previous analysis of screening masses by the same group [40]. Another lattice analysis based on meson screening masses pointing towards Uð1Þ A restoration taking place above T c is [41], for two flavors and two colors. On the other hand, the lattice results in [42][43][44] are consistent with Uð1Þ A restoration taking place at the chiral transition or very close above it.…”

Section: Introductionsupporting

confidence: 92%

Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets

Nicola

Elvira

2018

Phys. Rev. D

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We analyze the restoration pattern of the members of the scalar and pseudoscalar meson nonets under chiral Oð4Þ and Uð1Þ A symmetries. For that purpose, we exploit QCD Ward identities (WI), which allow one to relate susceptibilities with quark condensates, as well as susceptibility differences with meson vertices. In addition, we consider the low-energy realization of QCD provided by Uð3Þ chiral perturbation theory (ChPT) at finite temperature to perform a full analysis of the different correlators involved. Our analysis suggests Uð1Þ A partner restoration if chiral symmetry partners are also degenerated. This is also confirmed by the ChPT analysis when the light chiral limit is reached. Partner degeneration for the I ¼ 1=2 sector, the behavior of I ¼ 0 mixing and the temperature scaling of meson masses predicted by WI are also studied. Special attention is paid to the connection of our results with recent lattice analyses.

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Section: Introductionsupporting

confidence: 92%

Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets

Nicola

Elvira

2018

Phys. Rev. D

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“…As in Ref. [50], it is convenient to label the broken generators with A = 1 , · · · , 5, and the unbroken ones with A = 6 , · · · , 15. We hence add to the Lagrangian density the following source term:…”

Section: F1 Su (4)/sp(4) Composite Operatorsmentioning

confidence: 99%

“…We adopt the same basis as in Ref. [50], and within these conventions we find the following: 13 and O µ V,14 would be the unbroken generators in the SU (2) L × SU (2) R /SU (2) V coset, corresponding to the ρ mesons in QCD, in which case O µ V,15 would be associated with baryon number and would source the ω/φ in QCD.…”

Section: F1 Su (4)/sp(4) Composite Operatorsmentioning

confidence: 99%

Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions

et al. 2020

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We perform lattice studies of meson mass spectra and decay constants of the Sp(4) gauge theory in the quenched approximation. We consider two species of (Dirac) fermions as matter field content, transforming in the 2-index antisymmetric and the fundamental representation of the gauge group, respectively. All matter fields are formulated as Wilson fermions. We extrapolate to the continuum and massless limits, and compare to each other the results obtained for the two species of mesons. In the case of two fundamental and three antisymmetric fermions, the long-distance dynamics is relevant for composite Higgs models. This is the first lattice study of this class of theories. The global SU (4) × SU (6) symmetry is broken to the Sp(4) × SO(6) subgroup, and the condensates align with the explicit mass terms present in the lattice formulation of the theory.The main results of our quenched calculations are that, with fermions in the 2-index antisymmetric representation of the group, the masses squared and decay constant squared of all the mesons we considered are larger than the corresponding quantities for the fundamental representation, by factors that vary between ∼ 1.2 and ∼ 2.7. We also present technical results that will be useful for future lattice investigations of dynamical simulations, of composite chimera baryons, and of the approach to large-N in the Sp(2N ) theories considered. We briefly discuss their high-temperature behaviour, where symmetry restoration and enhancement are expected. We acknowledge useful discussions withWe summarise in this Appendix our conventions in the treatment of spinors, which are useful, for example, in switching between the 2-component and the 4-component notation (see also Ref. [50]). The former is best suited to highlight the symmetries of the system, while the latter is the formalism adopted as a starting point for the lattice numerical

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“…Four of the PNGBs of the resulting EFT are interpreted as the Higgs doublet, hence providing an elegant symmetry argument for the lightness of the associated particles. Particular attention has been devoted to models based on the SU (4)/Sp(4) coset [8,[26][27][28][29][30][31][32][33][34][35][36][37], as EFT arguments suggest that the resulting phenomenology is both realistic and rich enough to motivate a more systematic study of the underlying dynamics. This coset emerges naturally in gauge theories with pseudo-real representations, such as Sp(2N ) gauge theories with two massless Dirac fermions in the fundamental representation of the gauge group.…”

Section: The Sp(2n ) Research Programmementioning

confidence: 99%

Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)

Bennett

Hong

Lee

et al. 2018

J. High Energ. Phys.

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191

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The Sp(4) gauge theory with two Dirac fundamental flavours provides a candidate for the microscopic origin of composite-Higgs models based on the SU (4)/Sp(4) coset. We employ a combination of two different, complementary strategies for the numerical lattice calculations, based on the Hybrid Monte Carlo and on the Heat Bath algorithms. We perform pure Yang-Mills, quenched computations and exploratory studies with dynamical Wilson fermions.We present the first results in the literature for the spectrum of glueballs of the pure Sp(4) Yang-Mills theory, an EFT framework for the interpretation of the masses and decay constants of the lightest pion, vector and axial-vector mesons, and a preliminary calculation of the latter in the quenched approximation. We show the first numerical evidence of a bulk phase transition in the lattice theory with dynamical Wilson fermions, and perform the technical steps necessary to set up future investigations of the mesonic spectrum of the full theory.

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Symmetry restoration at high-temperature in two-color and two-flavor lattice gauge theories

Cited by 29 publications

References 60 publications

Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets

Chiral and U(1)A restoration for the scalar and pseudoscalar meson nonets

Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions

Sp(4) gauge theory on the lattice: towards SU(4)/Sp(4) composite Higgs (and beyond)

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