Quark-meson vertices and pion properties at finite chemical potential
Quark-meson vertices and pion properties at finite chemical potential
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有限化学势下的夸克-介子顶点和π介子性质
DOI：
10.1103/physrevc.78.025214
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发表时间：
2008-08
影响因子：
3.1
通讯作者：
Sun, Wei-min
中科院分区：
文献类型：
--
作者：
Feng, Hong-tao;Shi, Yuan-mei;Zong, Hong-shi;Jiang, Yu;Sun, Wei-min
基于Dyson-Schwinger方程的彩虹阶梯近似和零化学势（{mu}=0）邻域夸克-介子顶点的可解析性假设，忽略修饰胶子传播子的{mu}依赖性，采用[H]给出的有限化学势下修饰夸克传播子的研究方法。宗思，张莉，侯凤英，孙文明，刘云霞，物理学。在{mu}=0处，通过变量{gamma}{sub 5{nu}}{sup j}[{mu}](k, p)={gamma}{sub 5{nu}}{sup j}（k{approx}, p）得到有限{mu}处的轴向矢量夸克-介子顶点，其中k和p分别是夸克-反夸克对的相对动量和总动量，k{approx}=（k-矢量，k{sub 4}+i{mu}）。类似的关系适用于任何其他类型的夸克-介子顶点。这一特性将大大方便有限{mu}处夸克-介子顶点函数的数值计算。基于这些结果，利用[R]中提出的{mu}=0处的修饰夸克传播子。阿尔科夫，W. Detmold， C. S. Fischer和P. Maris，物理学家。在有限{mu}处，我们计算了介子衰变常数f{sub {pi}}和介子质量m{sub {pi}}，并与文献结果进行了比较。«少
Based on the rainbow-ladder approximation of the Dyson-Schwinger equations and the assumption of the analyticity of the quark-meson vertex in the neighborhood of zero chemical potential ({mu}=0) and neglecting the {mu}-dependence of the dressed gluon propagator, we use the method of studying the dressed quark propagator at finite chemical potential given in [H. S. Zong, L. Chang, F.Y. Hou, W. M. Sun, and Y. X. Liu, Phys. Rev. C 71, 015205 (2005)] to show that the axial-vector quark-meson vertex at finite {mu} can be obtained from the corresponding one at {mu}=0 by a shift of variable: {gamma}{sub 5{nu}}{sup j}[{mu}](k, p)={gamma}{sub 5{nu}}{sup j}(k{approx}, p), where k and p are the relative and total momentum of the quark-antiquark pair, respectively, and k{approx}=(k-vector, k{sub 4}+i{mu}). Similar relations hold for any other type of quark-meson vertex. This feature would facilitate the numerical calculations of the quark-meson vertex function at finite {mu} considerably. Based on these results and using the dressed quark propagator at {mu}=0 proposed in [R. Alkofer, W. Detmold, C. S. Fischer, and P. Maris, Phys. Rev. D 70, 014014 (2004)], we calculate the pion decay constant f{sub {pi}} and the pion mass m{sub {pi}} at finite {mu} and a comparison of ourmore » results with those in the literature is made.« less