Nonperturbative light-front Hamiltonian methods

J. R. Hiller

doi:10.1016/j.ppnp.2016.06.002

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arXiv · 1606.08348

Nonperturbative light-front Hamiltonian methods

J. R. Hiller

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Abstract

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, $\phi^4$ 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.

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J. R. Hiller. 2016-06-27. Nonperturbative light-front Hamiltonian methods. https://doi.org/10.1016/j.ppnp.2016.06.002

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