Solving Bethe-Salpeter scattering state equation in Minkowski space
J. Carbonell, V.A. Karmanov
TL;DR
This paper introduces a novel method for directly solving the Bethe-Salpeter equation in Minkowski space, effectively handling singularities, and computes the off-mass shell scattering amplitude for the first time.
Contribution
It presents a new approach to solve the Bethe-Salpeter equation in Minkowski space, including for scattering states, with a proper treatment of singularities.
Findings
Successfully computed off-mass shell scattering amplitude for spinless particles
First direct solution of Bethe-Salpeter equation in Minkowski space for scattering states
Demonstrated effective handling of singularities in the kernel and propagators
Abstract
We present a method to directly solving the Bethe-Salpeter equation in Minkowski space, both for bound and scattering states. It is based on a proper treatment of the singularities which appear in the kernel, propagators and Bethe-Salpeter amplitude itself. The off-mass shell scattering amplitude for spinless particles interacting by a one boson exchange is computed for the first time.
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