Volume behavior of quark condensate, pion mass, and decay constant from Dyson-Schwinger equations
Volume behavior of quark condensate, pion mass, and decay constant from Dyson-Schwinger equations
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DOI：
10.1103/physrevd.81.094005
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发表时间：
2009-12
影响因子：
5
通讯作者：
Jan Luecker;C. Fischer;Richard Williams
中科院分区：
文献类型：
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作者：
Jan Luecker;C. Fischer;Richard Williams
我们求解了有限体积上夸克传播子和π介子Bethe-Salpeter振幅的Dyson-Schwinger和Bethe-Salpeter方程的耦合系统。为此，我们使用的截断方案，其中包括介子云效应的夸克传播子和轻介子。我们研究了夸克凝聚体，π介子质量和π介子衰变常数的体积效应，并与其他方法的相应结果进行了比较。一般来说，我们发现体积低于V =（1.8 fm）4的影响很大。
We solve the coupled system of Dyson-Schwinger and Bethe-Salpeter equations for the quark propagator and the pion Bethe-Salpeter amplitude on a finite volume. To this end we use a truncation scheme that includes pion cloud effects in the quark propagator and light mesons. We study volume effects in the quark condensate, the pion mass, and the pion decay constant and compare to corresponding results in other approaches. In general we find large effects for volumes below V = (1.8 fm) 4 .