Renormalized Light Front Hamiltonian in the Pauli-Villars Regularization
arXiv:1311.4381 · doi:10.1007/s10773-014-2212-8
Abstract
We address the problem of nonperturbative calculations on the light front in quantum field theory regularized by Pauli-Villars method. As a preliminary step we construct light front Hamiltonians in (2+1)-dimensional model, for the cases without and with spontaneous symmetry breaking. The renormalization of these Hamiltonians in Pauli-Villars regularization is carried out via comparison of all-order perturbation theory, generated by these Hamiltonians, and the corresponding covariant perturbation theory in Lorentz coordinates.
LaTeX, 18 pages, 2 figures. Appendix B has been replaced. Some changes have been made in Introduction and Conclusion. The new list of references is more complete. Article will be published in International Journal of Theoretical Physics, the final publication is available at link.springer.com
References in corpus (12)
- Hadronic Spectra and Light-Front Wavefunctions in Holographic QCD
- Light-Front Holography: A First Approximation to QCD
- Production of the Smallest QED Atom: True Muonium (mu^+ mu^-)
- Kinematical and Dynamical Aspects of Higher-Spin Bound-State Equations in Holographic QCD
- Higher order extensions of the Gaussian effective potential
- Nonperturbative Pauli-Villars regularization of vacuum polarization in light-front QED
- Quantum Fields on the Light Front, Formulation in Coordinates close to the Light Front, Lattice Approximation
- Quantization of Field Theory on the Light Front
- Nonperturbative renormalization in light-front dynamics and applications
- Introduction to Basis Light-Front Quantization Approach to QCD Bound State Problems
- An application of the light-front coupled-cluster method to the nonperturbative solution of QED
- The Light-Front Hamiltonian formalism for two-dimensional Quantum Electrodynamics equivalent to the Lorentz-covariant approach