Journal
PROGRESS IN PARTICLE AND NUCLEAR PHYSICS
Volume 90, Issue -, Pages 75-124Publisher
ELSEVIER
DOI: 10.1016/j.ppnp.2016.06.002
Keywords
Light-front quantization; Nonperturbative Hamiltonian methods; Pauli-Villars regularization; Quantum chromodynamics
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Funding
- US Department of Energy [DE-FG02-98ER41087]
- Minnesota Supercomputing Institute of the University of Minnesota
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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. (C) 2016 Elsevier B.V. All rights reserved.
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