量子杨-米尔斯理论中的真空能量密度
Vacuum Energy Density in the Quantum Yang - Mills Theory
摘要：
利用复合算符的有效势方法，我们给出了计算真正非微扰杨-米尔斯真空能量密度（根据定义，这是除符号外的Bag常数）的一般方法。它是QCD基态的主要动力学特征。我们的方法允许一个使它自由的微扰贡献（'污染'），通过建设。我们还进行了实际的数值计算的包常数的约束有效电荷。它的选择唯一地定义袋常数，它成为免费的所有类型的微扰贡献现在，以及拥有许多其他理想的属性，如无色，规范的独立性，等使用进一步的跟踪异常关系，我们开发了一个一般的形式主义，这使得有可能将袋常数的胶子凝聚不使用弱耦合解决方案相应的$β$功能。我们对Bag常数的数值计算结果与其它唯象的胶子凝聚态的估计值吻合得很好。
英文摘要：
Using the effective potential approach for composite operators, we have formulated a general method of calculation of the truly non-perturbative Yang-Mills vacuum energy density (this is, by definition, the Bag constant apart from the sign). It is the main dynamical characteristic of the QCD ground state. Our method allows one to make it free of the perturbative contributions ('contaminations'), by construction. We also perform an actual numerical calculation of the Bag constant for the confining effective charge. Its choice uniquely defines the Bag constant, which becomes free of all the types of the perturbative contributions now, as well as possessing many other desirable properties as colorless, gauge independence, etc. Using further the trace anomaly relation, we develop a general formalism which makes it possible to relate the Bag constant to the gluon condensate not using the weak coupling solution for the corresponding $β$ function. Our numerical result for the Bag constant shows a good agreement with other phenomenological estimates of the gluon condensate.
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