Mini review of Poincaré invariant quantum theory

Abstract

We review the construction and applications of exactly Poincaré invariant quantum mechanical models of few-degree of freedom systems. We discuss the construction of dynamical representations of the Poincaré group on few-particle Hilbert spaces, the relation to quantum field theory, the formulation of cluster properties, and practical considerations related to the construction of realistic interactions and the solution of the dynamical equations. Selected applications illustrate the utility of this approach.

arXiv commentContribution to "Relativistic Description of Two- and Three-Body Systems in Nuclear Physics", ECT*, October 19-23 2009, 19 pages, 6 figures

References in corpus (27)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• A new parameterization of the nucleon elastic form factors
• Nucleon and pion electromagnetic form factors in a light-front constituent quark model
• Covariant nucleon electromagnetic form factors from the Goldstone-boson-exchange quark model
• Measurement of Tensor Polarization in Elastic Electron-Deuteron Scattering at Large Momentum Transfer
• Re-analysis of the nucleon space- and time-like electromagnetic form factors in a two-component model
• Large Momentum Transfer Measurements of the Deuteron Elastic Structure Function A(Q^2) at Jefferson Laboratory
• A precise measurement of the deuteron elastic structure function A(Q^2)
• Baryon Form Factors of Relativistic Constituent-Quark Models
• Three-Body Scattering at Intermediate Energies
• Nucleon-Nucleon Scattering in a Three Dimensional Approach
• Point-Form Analysis of Elastic Deuteron Form Factors
• Relativity and the low energy nd Ay puzzle
• Neutron Structure Functions
• Poincaré Invariant Three-Body Scattering at Intermediate Energies
• Relativistic Effects in Exclusive pd Breakup Scattering at Intermediate Energies
• Realistic two-nucleon potentials for the relativistic two-nucleon Schroedinger equation
• Charge Form Factors of Quark-Model Pions II
• First Order Relativistic Three-Body Scattering
• Quantitative Relativistic Effects in the Three-Nucleon Problem
• Exchange current contributions in null-plane quantum models of elastic electron deuteron scattering
• Pointlike constituent quarks and scattering equivalences
• Relativistic Quantum Mechanics - Particle Production and Cluster Properties
• RQM description of the charge form factor of the pion and its asymptotic behavior
• Resonant relativistic corrections and the A_y problem
• Lorentz Boosted Nucleon-Nucleon T-matrix and the Triton Binding Energy

Cited by in corpus (10)

• Strange and nonstrange baryon spectra in the relativistic interacting quark-diquark model with a Gürsey and Radicati-inspired exchange interaction
• Towards three-body unitarity in $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$
• Nuclear Currents in Chiral Effective Field Theory
• Transition between nuclear and quark-gluon descriptions of hadrons and light nuclei
• Relativistic quark-diquark model of baryons with a spin-isospin transition interaction
• Momentum space treatment of inclusive neutrino scattering off the deuteron and trinucleons
• Charmonium spectrum with a Dirac potential model in the momentum space
• Three different approaches to the same interaction: the Yukawa model in nuclear physics
• The total nucleon-nucleon cross section at large N_c
• Diquark correlations in baryons: the Interacting Quark Diquark Model