Meson-meson bound states in (2+1)-dimensional strongly coupled lattice QCD model.

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Autor(es): dc.creatorVeiga, Paulo Afonso Faria da-
Autor(es): dc.creatorO'Carroll, Michael Louis-
Autor(es): dc.creatorFrancisco Neto, Antônio-
Data de aceite: dc.date.accessioned2025-08-21T15:13:42Z-
Data de disponibilização: dc.date.available2025-08-21T15:13:42Z-
Data de envio: dc.date.issued2017-09-18-
Data de envio: dc.date.issued2017-09-18-
Data de envio: dc.date.issued2004-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/handle/123456789/8744-
Fonte completa do material: dc.identifierhttps://journals.aps.org/prd/abstract/10.1103/PhysRevD.69.097501-
Fonte completa do material: dc.identifierhttps://doi.org/10.1103/PhysRevD.69.097501-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1007033-
Descrição: dc.descriptionWe consider bound states of two mesons ~antimesons! in lattice quantum chromodynamics in an Euclidean formulation. For simplicity, we analyze an SU~3! theory with a single flavor in 211 dimensions and twodimensional Dirac matrices. For a small hopping parameter k and small plaquette coupling g0 22, such that 0 ,g0 22!k!1, recently we showed the existence of a ~anti!mesonlike particle, with an asymptotic mass of the order of 22 lnk and with an isolated dispersion curve—i.e., an upper gap property persisting up to near the meson-meson threshold which is of the order of 24 lnk. Here, in a ladder approximation, we show that there is no meson-meson ~or antimeson-antimeson! bound state solution to the Bethe-Salpeter equation up to the two-meson threshold. Remarkably the absence of such a bound state is an effect of a potential which is nonlocal in space at order k 2, i.e., the leading order in the hopping parameter k. A local potential appears only at order k 4 and is repulsive. The relevant spectral properties for our model are unveiled by considering the correspondence between the lattice Bethe-Salpeter equation and a lattice Schro¨dinger resolvent equation with a nonlocal potential.-
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Idioma: dc.languageen-
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Título: dc.titleMeson-meson bound states in (2+1)-dimensional strongly coupled lattice QCD model.-
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