Solving Bethe-Salpeter equation in Minkowski space

V.A. Karmanov , J. Carbonell (1)

1 LPSC - Laboratoire de Physique Subatomique et de Cosmologie

We develop a new method of solving Bethe-Salpeter (BS) equation in Minkowski space. It is based on projecting the BS equation on the light-front (LF) plane and on the Nakanishi integral representation of the BS amplitude. The method is valid for any kernel given by the irreducible Feynman graphs. For massless ladder exchange, our approach reproduces analytically the Wick-Cutkosky equation. For massive ladder exchange, the numerical results coincide with ones obtained by Wick rotation.

Mots clés: Bethe-Salpeter equations; Relativistic wave equations; Bound and unstable states

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Physique Nucléaire Théorique [nucl-th]

V.A. Karmanov, J. Carbonell. Solving Bethe-Salpeter equation in Minkowski space. European Physical Journal A, 2006, 27, pp.1-9. ⟨10.1140/epja/i2005-10193-0⟩. ⟨in2p3-00024198⟩