Finite volume QCD at fixed topological charge
Finite volume QCD at fixed topological charge
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DOI：
10.1103/physrevd.76.054508
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发表时间：
2007-07
影响因子：
5
通讯作者：
S. Aoki;H. Fukaya;S. Hashimoto;T. Onogi
中科院分区：
文献类型：
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作者：
S. Aoki;H. Fukaya;S. Hashimoto;T. Onogi
在有限体积内，给定{theta}的QCD配分函数是不同拓扑扇区的和，其权重主要由拓扑磁化率决定。如果物理可观测值仅在固定的拓扑扇区中进行评估，则结果与真实期望值的偏差与逆时空体积1/V成正比。利用鞍点展开，我们导出了用1/V展开表示固定拓扑电荷的修正的公式。应用该公式，我们提出了一类从固定拓扑扇区中计算的各种相关函数确定QCD拓扑磁化率的方法。
In finite volume the partition function of QCD with a given {theta} is a sum of different topological sectors with a weight primarily determined by the topological susceptibility. If a physical observable is evaluated only in a fixed topological sector, the result deviates from the true expectation value by an amount proportional to the inverse space-time volume 1/V. Using the saddle point expansion, we derive formulas to express the correction due to the fixed topological charge in terms of a 1/V expansion. Applying this formula, we propose a class of methods to determine the topological susceptibility in QCD from various correlation functions calculated in a fixed topological sector.