A Non-Perturbative, Finite Particle Number Approach to Relativistic Scattering Theory

Details A Non-Perturbative, Finite Particle Number Approach to Relativistic Scattering Theory A Non-Perturbative, Finite Particle Number Approach to Relativistic Scattering Theory

2001-05-23

arxiv.org/abs/hep-th/0105241v3

Found.Phys. 34 (2004) 581-616

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

We present integral equations for the scattering amplitudes of three scalar particles, using the Faddeev channel decomposition, which can be readily extended to any finite number of particles of any helicity. The solution of these equations, which have been demonstrated to be calculable, provide a non-perturbative way of obtaining relativistic scattering amplitudes for any finite number of particles that are Lorentz invariant, unitary, cluster decomposable and reduce unambiguously in the non-relativistic limit to the non-relativistic Faddeev equations. The aim of this program is to develop equations which explicitly depend upon physically observable input variables, and do not require renormalization or dressing of these parameters to connect them to the boundary states.

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