Equivalence of pion loops in equal-time and light-front dynamics
Equivalence of pion loops in equal-time and light-front dynamics
复制标题
等时和光锋动力学中π介子环的等效性
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
Anthony William Thomas
中科院分区：
文献类型：
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作者：
C. Ji;W. Melnitchouk;Anthony William Thomas
我们证明了核子性质的光阵面修正和等时修正公式的等价性。作为一个具体的例子，我们考虑的自能$$Sigma$$的核子穿着π环，赝矢量和赝标量$$pi NN$$耦合。我们推导出领先的和下一个领先的非解析行为的$$Sigma$$的光前，并明确显示其等价性在静止框架和无限动量框架中的等时量子化，以及在一个明显的协变制定。
We demonstrate the equivalence of the light-front and equal-time formulations of pionic corrections to nucleon properties. As a specific example, we consider the self-energy $$Sigma$$ of a nucleon dressed by pion loops, for both pseudovector and pseudoscalar $$pi NN$$ couplings. We derive the leading and next-to-leading nonanalytic behavior of $$Sigma$$ on the light-front, and show explicitly their equivalence in the rest frame and infinite momentum frame in equal-time quantization, as well as in a manifestly covariant formulation.