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- W2062914166 abstract "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 $${0 < kappa ll 1}$$ , and much smaller plaquette coupling $${beta, 0 < beta ll kappa}$$ . 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 $${mapprox-3lnkappa}$$ and $${m_mapprox-2lnkappa}$$ , 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 $${epsilon_{I,pm} }$$ (of order $${kappa^2}$$ ) which extend to jointly analytic function in $${kappa}$$ 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 $${alpha_0=frac 14, alpha_1=frac 1{12}, alpha_2=frac12, alpha_3=frac 34}$$ and small $${delta >0 }$$ , that the bound state masses $${2m-epsilon_{I,pm}}$$ are the only points in the mass spectrum in $${(0,2m-epsilon_{I,pm}+delta alpha_Ikappa^2)}$$ , for I = 0,1, and in $${(0,2m-(1+delta)alpha_Ikappa^2)}$$ , 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 $${kappa^2}$$ 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." @default.
- W2062914166 created "2016-06-24" @default.
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- W2062914166 date "2013-03-09" @default.
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- W2062914166 title "Analytic Binding Energies for Two-Baryon Bound States in 2 + 1 Strongly Coupled Lattice QCD With Two-Flavors" @default.
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- W2062914166 doi "https://doi.org/10.1007/s00220-013-1688-z" @default.
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