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Light-Front-Quantized QCD in Light-Cone Gauge

机译:光锥量规中的光前量化QCD

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摘要

The light-front (LF) quantization of QCD in light-cone gauge has a number of remarkable advantages, including explicit unitarity, a physical Fock expansion, the absence of ghost degrees of freedom, and the decoupling properties needed to prove factorization theorems in high momentum transfer inclusive and exclusive reactions. We present a systematic study of LF-quantized gauge theory following the Dirac method and construct the Dyson-Wick S-matrix expansion based on LF-time-ordered products. The gauge field is shown to satisfy the Lorentz condition as an operator equation as well as the light- cone gauge condition. Its propagator is found to be transverse with respect to both its four-momentum and the gauge direction. The propagator of the dynamical \psi_+ part of the free fermionic field is shown to be causal and to not contain instantaneous terms. The interaction Hamiltonian of QCD can be expressed in a form resembling that of covariant theory, except for additional instantaneous interactions which can be treated systematically. The renormalization factors are shown to be scalars and we find Z_1=Z_3 at one loop order. The running coupling constant and QCD beta function are also computed in the noncovariant light-cone gauge. Some comments on the relationship of our LF framework to the analytic effective charge and renormalization scheme defined by the pinch technique are made. LF quanti- zation thus provides a consistent formulation of gauge theory, despite the fact that the hyperplanes x^{\pm}=0 used to impose boundary conditions constitute characteristic surfaces of a hyperbolic partial differential equation.
机译:Q-锥度仪中QCD的光前(LF)量化具有许多显着优势,包括显着的统一性,物理Fock展开,不存在幻影自由度以及在高阶条件下证明分解定理所需的解耦特性。动量传递的包容性和排他性反应。我们按照Dirac方法对LF量化规范理论进行系统研究,并基于LF时序产品构造Dyson-Wick S矩阵展开。示出了标尺场满足洛伦兹条件,算子方程以及光锥规条件。发现其传播器相对于其四个动量和轨距方向都是横向的。自由铁离子场的动态\ psi_ +部分的传播者显示为因果关系,并且不包含瞬时项。 QCD的相互作用哈密顿量可以用类似于协变理论的形式表示,除了可以系统地处理的其他瞬时相互作用。重归一化因子显示为标量,我们发现Z_1 = Z_3处于一个循环顺序。运行耦合常数和QCD beta函数也在非协变光锥仪中计算。对我们的LF框架与由pinch技术定义的解析有效电荷和重归一化方案之间的关系进行了一些评论。因此,尽管用于施加边界条件的超平面x ^ {\ pm} = 0构成了双曲型偏微分方程的特征曲面,但LF量化提供了规范理论的一致表述。

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