Nonperturbative light-front Hamiltonian methods

J. R. Hiller

Research output: Contribution to journalReview article

14 Scopus citations


We examine the current state-of-the-art in nonperturbative calculations done with Hamiltonians constructed in light-front quantization of various field theories. The language of light-front quantization is introduced, and important (numerical) techniques, such as Pauli-Villars regularization, discrete light-cone quantization, basis light-front quantization, the light-front coupled-cluster method, the renormalization group procedure for effective particles, sector-dependent renormalization, and the Lanczos diagonalization method, are surveyed. Specific applications are discussed for quenched scalar Yukawa theory, ϕ4 theory, ordinary Yukawa theory, supersymmetric Yang-Mills theory, quantum electrodynamics, and quantum chromodynamics. The content should serve as an introduction to these methods for anyone interested in doing such calculations and as a rallying point for those who wish to solve quantum chromodynamics in terms of wave functions rather than random samplings of Euclidean field configurations.

Original languageEnglish (US)
Pages (from-to)75-124
Number of pages50
JournalProgress in Particle and Nuclear Physics
StatePublished - Sep 1 2016


  • Light-front quantization
  • Nonperturbative Hamiltonian methods
  • Pauli-Villars regularization
  • Quantum chromodynamics

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