Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-08-08
Nucl.Phys. B597 (2001) 652
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, LaTex, one paragraph is added to introduction section, to describe the 5/2 phase transition, accepted for publicatio
Scientific paper
10.1016/S0550-3213(00)00730-6
The phase structure of the generalized Yang--Mills theories is studied, and it is shown that {\it almost} always, it is of the third order. As a specific example, it is shown that all of the models with the interaction $\sum_j (n_j-j+N)^{2k}$ exhibit third order phase transition. ($n_j$ is the length of the $j$-th row of the Yang tableau corresponding to U($N$).) The special cases where the transition is not of the third order are also considered and, as a specific example, it is shown that the model $\sum_j (n_j-j+N)^2+g\sum_j (n_j-j+N)^{4}$ exhibits a third order phase transition, except for $g=27\pi^2/256$, where the order of the transition is 5/2.
Alimohammadi Masoud
Khorrami Mohammad
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