Point-Form Hamiltonian Dynamics and Applications

Abstract

This short review summarizes recent developments and results in connection with point-form dynamics of relativistic quantum systems. We discuss a Poincare invariant multichannel formalism which describes particle production and annihilation via vertex interactions that are derived from field theoretical interaction densities. We sketch how this rather general formalism can be used to derive electromagnetic form factors of confined quark-antiquark systems. As a further application it is explained how the chiral constituent quark model leads to hadronic states that can be considered as bare hadrons dressed by meson loops. Within this approach hadron resonances acquire a finite (non-perturbative) decay width. We will also discuss the point-form dynamics of quantum fields. After recalling basic facts of the free-field case we will address some quantum field theoretical problems for which canonical quantization on a space-time hyperboloid could be advantageous.

16 pages, 3 figures, Mini review base on talks given by W.H. Klink and W. Schweiger at the workshop on "Relativistic Description of Two- and Three-Body Systems in Nuclear Physics", ECT* Trento, October 19-13, 2009

References in corpus (11)

• Unified description of light- and strange-baryon spectra
• Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems
• Exact Construction of the Electromagnetic Current Operator for Relativistic Composite Systems
• Dynamical Models of the Excitations of Nucleon Resonances
• Constructing Point Form Mass Operators from Interaction Lagrangians
• Vector mesons in a relativistic point-form approach
• Electromagnetic meson form factor from a relativistic coupled-channel approach
• Covariant calculation of nonstrange decays of strange baryon resonances
• Covariant calculation of strange decays of baryon resonances
• Point-form quantum field theory
• Bakamjian-Thomas mass operator for the few-nucleon system from chiral dynamics

Cited by in corpus (17)

• Strange and nonstrange baryon spectra in the relativistic interacting quark-diquark model with a Gürsey and Radicati-inspired exchange interaction
• Semileptonic decays of $D$ and $D_s$ mesons in the relativistic quark model
• Towards three-body unitarity in $D^{+}\to K^{-}{\pi }^{+}{\pi }^{+}$
• Hadronic decays of mesons and baryons in the Dyson-Schwinger approach
• Electromagnetic rho-meson form factors in point-form relativistic quantum mechanics
• Relativistic quark-diquark model of baryons with a spin-isospin transition interaction
• Electroweak form factors of heavy-light mesons -- a relativistic point-form approach
• Quark mass function from a one-gluon-exchange-type interaction in Minkowski space
• Semileptonic meson decays in point-form relativistic quantum mechanics: unambiguous extraction of weak form factors
• Weak transition form factors of heavy-light pseudoscalar mesons for space- and timelike momentum transfers
• Hadron structure within the point form of relativistic quantum mechanics
• Quark mass functions and pion structure in the Covariant Spectator Theory
• On the microscopic structure of $\pi NN$, $\pi N\Delta$ and $\pi \Delta \Delta$ vertices
• Constituent-quark model with pionic contributions: electromagnetic $N\to \Delta$ transition
• The Pion-Cloud Contribution to the Electromagnetic Nucleon Form Factors
• Diquark correlations in baryons: the Interacting Quark Diquark Model
• A relativistic coupled-channel formalism for electromagnetic form factors of 2-body bound states