Exact mesonic eightfold way from dynamics and confinement in strongly coupled lattice QCD

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorFrancisco Neto, Antônio-
Autor(es): dc.creatorO'Carroll, Michael Louis-
Autor(es): dc.creatorVeiga, Paulo Afonso Faria da-
Data de aceite: dc.date.accessioned2019-11-06T13:25:49Z-
Data de disponibilização: dc.date.available2019-11-06T13:25:49Z-
Data de envio: dc.date.issued2012-12-03-
Data de envio: dc.date.issued2012-12-03-
Data de envio: dc.date.issued2009-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/123456789/1947-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/555195-
Descrição: dc.descriptionWe review our results on the exact determination of the mesonic eightfold way from first principles, directly from the quark-gluon dynamics. For this, we consider an imaginary-time functional integral formulation of 3 + 1 dimensional lattice QCD with Wilson action, three flavors, SU(3)f flavor symmetry and SU(3)c local gauge symmetry. We work in the strong coupling regime: a small hopping parameter κ > 0 and a much smaller plaquette coupling β > 0. By stablishing a Feynman-Kac formula and a spectral representation to the twomeson correlation, we provide a rigorous connection between this correlation and the one-meson energy-momentum spectrum. The particle states can be labeled by the usual SU(3)f quantum numbers of total isospin I and its third-component I3, the quadratic Casimir C2 and, by a partial restoration of the continuous rotational symmetry on the lattice, as well as by the total spin J and its z−component Jz. We show that, up to near the two-meson energy threshold of ≈ −4 lnκ, the spectrum in the meson sector is given only by isolated dispersion curves of the eightfold way mesons. The mesons have all asymptotic mass of −2 lnκ and, by deriving convergent expansions for the masses both in κ and β, we also show a κ4 mass splitting between the J = 0, 1 states. The splitting persists for β _= 0. Our approach employs the decoupling of hyperplane method to uncover the basic excitations, complex analysis to determine the dispersion curves and a correlation subtraction method to show the curves are isolated. Using the latter and recalling our similar results for baryons, we also show confinement up to near the two-meson threshold.-
Idioma: dc.languageen-
Direitos: dc.rightsO Periódico Nuclear Physics B concede permissão para depósito do artigo no Repositório Institucional da UFOP. Número da licença: 3292420250116.-
Título: dc.titleExact mesonic eightfold way from dynamics and confinement in strongly coupled lattice QCD-
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