Nonperturbative light-front Hamiltonian methods

作者：Hiller J R^*

来源：Progress in Particle and Nuclear Physics, 2016, 90: 75-124.

DOI：10.1016/j.ppnp.2016.06.002

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

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.

• 出版日期2016-9