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Título: | Analytic binding energies for two-baryon bound states in 2 + 1 strongly coupled lattice QCD with two-flavors. |
Autor(es): | O’Carroll, Michael Veiga, Paulo Afonso Faria da Francisco Neto, Antônio |
Data do documento: | 2013 |
Referência: | O'CARROL, M.; VEIGA, P. A. F. da; FRANCISCO NETO, A. Analytic binding energies for two-baryon bound states in 2 + 1 strongly coupled lattice QCD with two-flavors. Communications in Mathematical Physics, v. 321, p. 249-282, 2013. Disponível em: <https://link.springer.com/article/10.1007/s00220-013-1688-z>. Acesso em: 20 jul. 2017. |
Resumo: | We consider a lattice SU(3) QCD model in 2 + 1 dimensions, with two flavors and 2 × 2 spin matrices. An imaginary time functional integral formulation with Wilson’s action is used in the strong coupling regime, i.e. small hopping parameter 0 < κ 1, and much smaller plaquette coupling β, 0 < β κ. In this regime, it is known that the low-lying energy-momentum spectrum contains isolated dispersion curves identified with baryons and mesons with asymptotic masses m ≈ −3 ln κ and mm ≈ −2 ln κ, respectively. We prove the existence of two (labelled by ±) two-baryon bound states for each of the total isospin sectors I = 0, 1 and we obtain, in each case, the exact binding energies I ± (of order κ2) which extend to jointly analytic function in κ and β.We also prove that these points are the only mass spectrum up to slightly above the bound state masses. Precisely, we show, for α0 = 1 4, α1 = 1 12, α2 = 1 2, α3 = 34 and small δ > 0, that the bound state masses 2m − I ± are the only points in the mass spectrum in (0, 2m − I ± + δαI κ2), for I = 0, 1, and in (0, 2m − (1 + δ)αI κ2), for I = 2, 3. These results are exact and validate our previous results obtained in a ladder approximation. The method employs suitable two- and four-point correlations with spectral representations and a lattice Bethe-Salpeter equation. For I = 0, 1, a quark, antiquark space-range one potential of order κ2 is found to be the dominant contribution to the two-baryon interaction and the interaction of the individual quark isospins of one baryon with those of the other is described by permanents. A novel spectral free decomposition (but spectral representation motivated, for real κ and β) of the two-point correlation, after performing a complex extension, is a key ingredient in showing the joint analyticity of the binding energy. |
URI: | http://www.repositorio.ufop.br/handle/123456789/8733 |
Link para o artigo: | https://link.springer.com/article/10.1007/s00220-013-1688-z |
DOI: | https://doi.org/10.1007/s00220-013-1688-z |
ISSN: | 1432-0916 |
Aparece nas coleções: | DEPRO - Artigos publicados em periódicos |
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Arquivo | Descrição | Tamanho | Formato | |
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ARTIGO_AnalyticBindingEnergies.pdf Restricted Access | 491,31 kB | Adobe PDF | Visualizar/Abrir |
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