This article is cited in 3 papers

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

M. Yu. Malyshev^ab, E. V. Prokhvatilov^b, R. A. Zubov^b, V. A. Franke<sup>b

a</sup> The Petersburg Nuclear Physics Institute, The National Research Center "Kurchatov Institute", Gatchina, Russia
^b St. Petersburg State University, St. Petersburg, Russia

Abstract: 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 a correct renormalized light-front Hamiltonian.

Keywords: Pauli–Villars regularization, light-front quantization, gauge field theory.

Received: 23.12.2015
Revised: 05.01.2016

DOI: 10.4213/tmf9129

 English version: Theoretical and Mathematical Physics, 2017, 190:3, 411–423

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