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| Paper IPM / Physic / 6752 |
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| Abstract: | |||||
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The phase structure of the generalized Yang-Mills theories is studied, and it is shown that almost always, it is of the third order. As a specific example, it is shown that all of the models with the interaction ∑j (nj−j+N)2k exhibit third order phase transition. (nj 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 ∑j (nj−j+N)2+g∑j (nj−j+N)4 exhibits a third order phase transition, except for g=27π2/256, where the order of the transition is 5/2.
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