Pauli–Villars regularization and the light-front Hamiltonian in (2+1)-dimensional Yang–Mills theory

@article{Malyshev2015PauliVillarsRA,
  title={Pauli–Villars regularization and the light-front Hamiltonian in (2+1)-dimensional Yang–Mills theory},
  author={M. Yu. Malyshev and S. A. Paston and Evgeni Prokhvatilov and Roman Andreevich Zubov and V. A. Franke},
  journal={Theoretical and Mathematical Physics},
  year={2015},
  volume={184},
  pages={1314-1323}
}
We consider the renormalization problem of the (2+1)-dimensional Yang–Mills theory quantized on the light front. We introduce extra fields analogous to those used in the Pauli–Villars regularization to restore the perturbative equivalence between the quantized theory and the conventional formulation in Lorentz coordinates. These fields realize an ultraviolet regularization of the theory. The obtained results allow constructing the renormalized Hamiltonian of the theory on the light front. 
5 Citations

Construction of a perturbatively correct light-front Hamiltonian for a (2+1)-dimensional gauge theory

We discuss a perturbation theory on the light front regularized by a method analogous to Pauli–Villars regularization for the (2+1)-dimensional SU(N)-symmetric gauge theory. This allows constructing

Light front Hamiltonian for boson form of QED (1 + 1) in Pauli–Villars regularization

Light front (LF) Hamiltonian for QED in [Formula: see text] dimensions is constructed using the boson form of this model with additional Pauli–Villars-type ultraviolet regularization. Perturbation

Pauli–Villars Regularization of Non-Abelian Gauge Theories

As an extension of earlier work on QED, we construct a BRST-invariant Lagrangian for SU(N) Yang–Mills theory with fundamental matter, regulated by the inclusion of massive Pauli–Villars (PV) gluons

References

SHOWING 1-10 OF 33 REFERENCES

Hamiltonian formulation of (2+1)-dimensional QED on the light cone.

TLDR
It is shown that an improper regularization in the light-cone quantization of field theories can introduce a violation of rotational invariance as well as spurious divergences, and theLight-cone Hamiltonian for (2+1)-dimensional QED is constructed.

Constructing the light-front QCD Hamiltonian

We propose the light-front Lagrangian and the corresponding Hamiltonian that produce a theory perturbatively equivalent to the conventional QCD in the Lorentz coordinates after the regularization is

Renormalization of Hamiltonians in the Light-Front Fock Space

We outline an ultraviolet renormalization procedure for hamiltonians acting in the light-front Fock space. The hamiltonians are defined and calculated using creation and annihilation operators with

The Light-Front Hamiltonian Formalism for Two-Dimensional Quantum Electrodynamics Equivalent to the Lorentz-Covariant Approach

A light-front Hamiltonian reproducing the results of two-dimensional quantum electrodynamics in the Lorentz coordinates is constructed using the bosonization procedure and an analysis of the bosonic

Comparison of quantum field perturbation theory for the light front with the theory in Lorentz coordinates

The relationship between the perturbation theory in light-front coordinates and Lorentz-covariant perturbation theory is investigated. A method for finding the difference between separate terms of

Quantization of Field Theory on the Light Front

Canonical formulation of quantum field theory on the Light Front (LF) is reviewed. The problem of constructing the LF Hamiltonian which gives the theory equivalent to original Lorentz and gauge

Calculation of the mass spectrum of QED-2 in light-front coordinates

AbstractWith the aim of a further investigation of the nonperturbative Hamiltonian approach in gauge field theories, the mass spectrum of QED-2 is calculated numerically by using the corrected

Topologically Massive Gauge Theories

Gauge vector and gravity models are studied in three-dimensional space-time, where novel, gauge invariant, P and T odd terms of topological origin give rise to masses for the gauge fields. In the

Renormalization of Hamiltonians.

  • GlazekWilson
  • Physics
    Physical review. D, Particles and fields
  • 1993
TLDR
A matrix model of an asymptotically free theory with a bound state is solved using a perturbative similarity renormalization group for hamiltonians using a related light-front Fock space operator method.

Dynamics of effective gluons

Renormalized Hamiltonians for gluons are constructed using a perturbative boost-invariant renormalization group procedure for effective particles in light-front QCD, including terms up to third