We study systematically and exhibit the Lorentz symmetry of the Bethe-Salpeter equation in the light-like case for two scalar quarks of different masses interacting via the exchange of a scalar photon. We develop a new approach for solving the eigenvalue problem of the equation for the general case (not only the light-like). Our method permits accurate analytic expressions for the spectrum and the wave functions.
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Hadjioannou, F.T., Kyriakopoulos, E. Solutions of a bethe-salpeter equation. Int J Theor Phys 5, 199–210 (1972). https://doi.org/10.1007/BF00670511
- Wave Function
- Field Theory
- Elementary Particle
- Quantum Field Theory
- Eigenvalue Problem