On rotations in front form dynamics

Abstract

Quantum field theories in front-form dynamics are not manifestly rotationally invariant. We study a model bound-state equation in 3+1 dimensional front-form dynamics, which was shown earlier to reproduce the Bohr and hyperfine structure of positronium. We test this model with regard to its rotational symmetry and find that rotational invariance is preserved to a high degree. Also, we find and quantify the expected dependence on the cut-off.

12 pp., 7 figures, uses elsart.cls, published version

References in corpus (3)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Explicitly Covariant Light-Front Dynamics and Relativistic Few-Body Systems
• Two-dimensional QCD, instanton contributions and the perturbative Wu-Mandelstam-Leibbrandt prescription

Cited by in corpus (4)

• Two-fermion relativistic bound states in Light-Front Dynamics
• On the effective Hamiltonian for QCD: An overview and status report
• High Resolution Nonperturbative Light-Front Simulations of the True Muonium Atom
• Succesful renormalization of a QCD-inspired Hamiltonian