论文标题

固定拓扑中有效现场理论的新术语

New term in effective field theory at fixed topology

论文作者

Kieburg, M., Lauritzen, M., Søgaard, B. T., Splittorff, K.

论文摘要

引入了晶格QCD的随机矩阵模型,该模型考虑了威尔逊术语的正定性质。威尔逊狄拉克运算符固定索引的相应有效理论得出了领先顺序。它揭示了与威尔逊狄拉克操作员和晶格间距的拓扑指数成正比的新术语。新术语在固定的指数激发分析中自然出现。 Spurion方法表明,该术语是此类术语的新家族中的第一个术语,并且等效术语与Continuum QCD的有效理论相关。

A random matrix model for lattice QCD which takes into account the positive definite nature of the Wilson term is introduced. The corresponding effective theory for fixed index of the Wilson Dirac operator is derived to next to leading order. It reveals a new term proportional to the topological index of the Wilson Dirac operator and the lattice spacing. The new term appears naturally in a fixed index spurion analysis. The spurion approach reveals that the term is the first in a new family of such terms and that equivalent terms are relevant for the effective theory of continuum QCD.

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