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arXiv 1606.08348hep-ph
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非微扰光阵面哈密顿方法

Nonperturbative light-front Hamiltonian methods

J. R. Hiller

摘要:

我们研究了当前最先进的非微扰计算与哈密顿量在光前量子化的各种场论。介绍了光阵面量子化的语言,综述了Pauli-Villars正则化、离散光锥量子化、基光阵面量子化、光阵面耦合团簇方法、有效粒子的重整化群方法、扇相关重整化和Lanczos对角化方法等重要的数值方法。淬火标量汤川理论,$ϕ^4$理论,普通汤川理论,超对称杨-米尔斯理论,量子电动力学和量子色动力学的具体应用进行了讨论。内容应该作为一个介绍这些方法的任何人有兴趣做这样的计算,并作为一个集结点,为那些谁希望解决量子色动力学方面的波函数,而不是随机抽样的欧几里德场配置。

英文摘要:

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, $ϕ^4$ 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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