Large-N transitions for generalized Yang-Mills theories in 1+1 dimensions

Details Large-N transitions for generalized Yang-Mills theories in 1+1 dimensions Large-N transitions for generalized Yang-Mills theories in 1+1 dimensions

2005-09-16

arxiv.org/abs/hep-th/0509133v2

Nucl.Phys.B736:302-318,2006

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 4 figures, exemple and some references added

Scientific paper

10.1016/j.nuclphysb.2005.12.011

We describe the entire phase structure of a large number of colour generalized Yang-Mills theories in 1+1 dimensions. This is illustrated by the explicit computation for a quartic plus quadratic model. We show that the Douglas-Kazakov and cut-off transitions are naturally present for generalized Yang-Mills theories separating the phase space into three regions: a dilute one a strongly interacting one and a degenerate one. Each region is separated into sub-phases. For the first two regions the transitions between sub-phases are described by the Jurekiewicz-Zalewski analysis. The cut-off transition and degenerated phase arise only for a finite number of colours. We present second-order phase transitions between sub-phases of the degenerate phase.

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