# 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

- Physics, Mathematics
- 2016

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

- PhysicsInternational Journal of Modern Physics A
- 2019

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

- Physics
- 2015

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…

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