论文标题
小波表示光量量子场理论的表示
Wavelet representation of light-front quantum field theory
论文作者
论文摘要
提出了量子场理论在光线上的正式离散多分辨率表示。该配方使用紧凑型小波的正顺序基础，将局限于光线的磁场扩展。表示形式具有许多有用的属性。首先，可以通过转换基本函数的参数来计算灯前的前部。通过整合磁场的乘积和在光正面上的基本函数来定义的离散场操作员，代表了轻正面上的局部自由度。这些离散场是不可约的，真空正式很琐碎。轻型汉密尔顿和所有庞加莱发电机都是具有可分析可计算的恒定系数的离散现场运算符的正常有序产物的线性组合。表示形式是离散的，具有自然分辨率和体积截断，例如晶格配方。因为它正式准确，因此有可能系统地计算校正以取消自由度。
A formally exact discrete multi-resolution representation of quantum field theory on a light front is presented. The formulation uses an orthonormal basis of compactly supported wavelets to expand the fields restricted to a light front. The representation has a number of useful properties. First, light front preserving Poincaré transformations can be computed by transforming the arguments of the basis functions. The discrete field operators, which are defined by integrating the product of the field and the basis functions over the light front, represent localized degrees of freedom on the light-front hyperplane. These discrete fields are irreducible and the vacuum is formally trivial. The light-front Hamiltonian and all of the Poincaré generators are linear combinations of normal ordered products of the discrete field operators with analytically computable constant coefficients. The representation is discrete and has natural resolution and volume truncations like lattice formulations. Because it is formally exact it is possible to systematically compute corrections for eliminated degrees of freedom.
