强耦合下手征凝聚体的图解计算
Calculating the chiral condensate diagrammatically at strong coupling
摘要：
我们计算的手征凝聚体的QCD在无限耦合的基本费米子味的数量的函数，使用晶格图解的方法，最近的工作的Tomboulis的启发，和其他工作从80年代。我们概述的方法，其中的图是通过结合截断的子图类型的数量在所有可能的方式形成的。我们的研究结果表明收敛的证据和协议与模拟结果在小Nf。然而，与最近的模拟结果相反，我们没有观察到在Nf的临界值处的转变。我们进一步提出的手征凝聚的QCD对称或伴随表示费米子在无限耦合作为Nf的函数Nc = 3的初步结果。一般来说，在这种方法中存在与重叠图的误计数以及由于对称性而导致的图的过度计数相关联的误差源。在一份较长的文件中进一步阐述了这些问题。
英文摘要：
We calculate the chiral condensate of QCD at infinite coupling as a function of the number of fundamental fermion flavours using a lattice diagrammatic approach inspired by recent work of Tomboulis, and other work from the 80's. We outline the approach where the diagrams are formed by combining a truncated number of sub-diagram types in all possible ways. Our results show evidence of convergence and agreement with simulation results at small Nf. However, contrary to recent simulation results, we do not observe a transition at a critical value of Nf. We further present preliminary results for the chiral condensate of QCD with symmetric or adjoint representation fermions at infinite coupling as a function of Nf for Nc = 3. In general, there are sources of error in this approach associated with miscounting of overlapping diagrams, and over-counting of diagrams due to symmetries. These are further elaborated upon in a longer paper.
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