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The quark number susceptibility near the QCD critical end-point (CEP), thetricritical point (TCP) and the O(4) critical line at finite temperature andquark chemical potential is investigated. Based on the universality argumentand numerical model calculations we propose a possibility that the hiddentricritical point strongly affects the critical phenomena around the criticalend-point. We made a semi-quantitative study of the quark number susceptibilitynear CEP/TCP for several quark masses on the basis of theCornwall-Jackiw-Tomboulis (CJT) potential for QCD in the improved-ladderapproximation. The results show that the susceptibility is enhanced in a wideregion around CEP inside which the critical exponent gradually changes fromthat of CEP to that of TCP, indicating a crossover of different universalityclasses.Comment: 18 pages, 10 figure

Universality, the QCD critical and tricritical point, and the quark number susceptibility