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arXiv 1102.5107hep-ph
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任意协变规范光阵面QED的第一次非微扰计算

A first nonperturbative calculation in light-front QED for an arbitrary covariant gauge

S. S. Chabysheva, J. R. Hiller

摘要:

这项工作是第一次检查规范不变性的非微扰计算在光前QED。对于任意协变规范中的量子电动力学,我们使用等时Stueckelberg量子化的光阵面模拟。结合Pauli-Villars正则化,其中大量的,负度规光子和费米子被包括在拉格朗日,我们就能够构建光前QED哈密顿量和相关的质量本征值问题在福克空间表示。形式主义适用于缀饰电子状态,与Fock空间截断,包括最多一个光子。从这个本征态,我们计算出反常磁矩。结果被发现是规范无关的,在$α$的顺序一致的截断。

英文摘要:

This work is the first check of gauge invariance for nonperturbative calculations in light-front QED. To quantize QED in an arbitrary covariant gauge, we use a light-front analog of the equal-time Stueckelberg quantization. Combined with a Pauli-Villars regularization, where massive, negative-metric photons and fermions are included in the Lagrangian, we are then able to construct the light-front QED Hamiltonian and the associated mass eigenvalue problem in a Fock-space representation. The formalism is applied to the dressed-electron state, with a Fock-space truncation to include at most one photon. From this eigenstate, we compute the anomalous magnetic moment. The result is found to be gauge independent, to an order in $α$ consistent with the truncation.

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