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- W4297808034 abstract "The similarities of hadrons and atoms motivate a study of the principles of QED bound states and of their applicability to QCD. The power series in $alpha$ and $logalpha$ of the binding energy is reflected in the Fock expansion of the bound state in temporal gauge ($A^0=0$). Gauss' constraint on physical states fixes the gauge for time independent transformations and determines the instantaneous interaction within each Fock state. Positronium atoms generate a classical (dipole) electric field, whereas there can be no color octet gluon field for color singlet hadrons. Hence the gluon field generated by each color component of a hadron need not vanish at spatial infinity. Gauss' constraint has a homogeneous solution with a single parameter $Lambda$ that is compatible with Poincar'e invariance. The corresponding potential is linear for $qbar q$ and $gg$ Fock states, and confining also for other states ($qbar qg,,qqq$). This approach is consistent with the quarkonium phenomenology based on the Cornell potential at lowest order. The relativistic meson and glueball eigenstates of the QCD Hamiltonian with the $O(alpha_s^0)$ linear potential are determined. The states lie on linear Regge trajectories and their daughters. There are also massless bound states which allow to include a $J^{PC}=0^{++}$ condensate in the perturbative vacuum, thus breaking chiral symmetry spontaneously." @default.
- W4297808034 created "2022-10-01" @default.
- W4297808034 creator A5083575147 @default.
- W4297808034 date "2018-07-15" @default.
- W4297808034 modified "2023-10-14" @default.
- W4297808034 title "Bound states and QCD" @default.
- W4297808034 doi "https://doi.org/10.48550/arxiv.1807.05598" @default.
- W4297808034 hasPublicationYear "2018" @default.
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