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

DOI10.1134/S0040577917030102zbMath1369.81070arXiv1609.07507MaRDI QIDQ2014503

V. A. Franke, M. Yu. Malyshev, Roman A. Zubov, Evgeni V. Prokhvatilov

Publication date: 25 August 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07507

zbMATH Keywords

gauge field theoryPauli-Villars regularizationlight-front quantization

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantization in field theory; cohomological methods (81T70) Wave front sets in context of PDEs (35A18)

Cites Work

• Pauli-Villars regularization and the light-front Hamiltonian in \((2+1)\)-dimensional Yang-Mills theory
• Exact solutions to Pauli-Villars-regulated field theories
• A nonperturbative calculation of the electron's magnetic moment
• Quantum fields on the light front, formulation in coordinates close to the light front, lattice approximation
• The light-front Hamiltonian formalism for two-dimensional quantum electrodynamics equivalent to the Lorentz-covariant approach
• On the correspondence between a light-front Hamiltonian approach and a Lorentz-covariant formulation for quantum gauge theories
• Renormalized light front Hamiltonian in the Pauli-Villars regularization
• Asymptotic Freedom of Gluons in the Fock Space
• Forms of Relativistic Dynamics
• On the Invariant Regularization in Relativistic Quantum Theory
• Constructing the light-front QCD Hamiltonian

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