论文标题

sl $(2,\ mathbb {c})$ topologologication Instantons的slwinger对生产

Schwinger Pair Production in SL$(2,\mathbb{C})$ Topologically Non-Trivial Fields via Non-Abelian Worldline Instantons

论文作者

Copinger, Patrick, Morales, Pablo

论文摘要

Schwinger对的生产在BPST Instanton背景中进行分析,并在其SL $(2,\ Mathbb {C})$复杂的标量颗粒中进行分析。利用了全球intanton方法的非亚伯式扩展,其中在Euclidean SpaceTime中解决了SL $(2,\ Mathbb {C})$采用的连贯状态图片中的Wong方程。尽管在BPST Instanton中未预测成对的生产,但显示BPST Instanton的复杂扩展(Minkowski SpaceTime中的平行场存在)通过Schwinger效应衰减。

Schwinger pair production is analyzed in a BPST instanton background and in its SL$(2,\mathbb{C})$ complex extension for complex scalar particles. A non-Abelian extension of the worldline instanton method is utilized, wherein Wong's equations in a coherent state picture adopted for SL$(2,\mathbb{C})$ are solved in Euclidean spacetime. While pair production is not predicted in the BPST instanton, a complex extension of the BPST instanton, existing as parallel fields in Minkowski spacetime, is shown to decay via the Schwinger effect.

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