论文标题

有限场理论中轴向异常的命运

The fate of the axial anomaly in a finite field theory

论文作者

Grangé, Pierre, Mathiot, Jean-François, Werner, Ernst

论文摘要

载体电流的保护和负责$π_0\至γγ$衰减幅度的轴向异常是在被认为是操作员价值分布的场的Taylor-Lagrange公式中以领先顺序获得的。 As for gauge theories, where this formulation eliminates all divergences and preserves gauge-symmetry, it is shown that the different contributions can be evaluated directly in $4$-dimensional space-time, with no restrictions whatsoever on the four-momentum of the internal loop, and without the need to introduce any additional non physical degrees of freedom like Pauli-Villars fields.我们评论导致希格斯玻色子腐烂成两个光子的类似贡献。

The conservation of the vector current and the axial anomaly responsible for the $π_0 \to γγ$ decay amplitude are obtained in leading order within the Taylor-Lagrange formulation of fields considered as operator-valued distributions. As for gauge theories, where this formulation eliminates all divergences and preserves gauge-symmetry, it is shown that the different contributions can be evaluated directly in $4$-dimensional space-time, with no restrictions whatsoever on the four-momentum of the internal loop, and without the need to introduce any additional non physical degrees of freedom like Pauli-Villars fields. We comment on the similar contributions responsible for the decay of the Higgs boson into two photons.

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