A Non-Perturbative, Finite Particle Number Approach to Relativistic Scattering Theory
arXiv:hep-th/0105241 · doi:10.1023/B:FOOP.0000019627.19038.50
Abstract
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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Cited by in corpus (7)
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- Linear Spinor Fields in Relativistic Dynamics
- Construction of Non-Perturbative, Unitary Particle-Antiparticle Amplitudes for Finite Particle Number Scattering Formalisms
- Quantum Behaviors on an Excreting Black Hole
- An Extended Poincare Algebra for Linear Spinor Field Equations
- A Model of Unified Gauge Interactions