Salpeter Equation and Causality
نویسندگان
چکیده
منابع مشابه
THE SPINLESS SALPETER EQUATION AND MESON DYNAMICS
Applying the variational method, the spinless reduced Bethe-Salpeter (RBS) equation is solved for the mesonic systems, and the mass spectra are obtained. The method is applied to the Hamiltonian with the Gaussian and hydrogen-type trial wave functions, and different potential models are examined. The results for the different potentials are in challenge in light mesons, while they are consisten...
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Zhi-Gang Wang , Wei-Min Yang and Shao-Long Wan 1 Department of Physics, North China Electric Power University, Baoding 071003, P. R. China † 2 CCAST (World Laboratory), P.O.Box 8730, Beijing 100080, P. R. China 3 Department of Modern Physics, University of Science and Technology of China, Hefei 230026, P. R. China In this article, we investigate the structures of the pseudoscalar mesons (π, K, ...
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A three-dimensional reduction of the two-particle Bethe-Salpeter equation is proposed. The proposed reduction is in the framework of light-front dynamics. It yields auxiliary quantities for the transition matrix and the bound state. The arising effective interaction can be perturbatively expanded according to the number of particles exchanged at a given light-front time. An example suggests tha...
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The spinless Salpeter equation is the combination of relativistic kinematics with some static interaction potential. The nonlocal nature of the Hamiltonian resulting from this approximation renders difficult to obtain rigorous analytic statements on resulting solutions. In view of this unsatisfactory state of affairs, we calculate analytic upper bounds on the involved energy levels, and, for th...
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We extend to regular QCD the derivation of a confining qq̄ Bethe–Salpeter equation previously given for the simplest model of scalar QCD in which quarks are treated as spinless particles. We start from the same assumptions on the Wilson loop integral already adopted in the derivation of a semirelativistic heavy quark potential. We show that, by standard approximations, an effective meson squared...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 2012
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.128.59