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arXiv 2002.02311hep-thhep-lat
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光阵面量子场论的小波表示

Wavelet representation of light-front quantum field theory

W. N. Polyzou

摘要:

给出了量子场论在光阵面上的形式精确离散多分辨表示。该配方使用的正交基的紧支持小波扩展领域限制到一个光的前面。该表示具有许多有用的属性。首先,光前保持庞加莱变换可以通过变换基函数的自变量来计算。离散场算子是由场和基函数的乘积在光阵面上积分而定义的,表示光阵面超平面上的局部自由度。这些离散场是不可约的,真空在形式上是平凡的。光阵面哈密顿量和所有的庞加莱生成元都是离散场算符的正规有序乘积的线性组合,这些算符具有可解析计算的常系数。表示是离散的,并具有自然的分辨率和体积截断像晶格配方。因为它在形式上是精确的,所以可以系统地计算消除自由度的修正。

英文摘要:

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.

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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