2005/09/30 by F. Dubath, Florian Dubath · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Computation #Computer science #Degenerate energy levels #Geometry #Mathematical physics #Mathematics #Order (exchange) #Phase (matter) #Phase transition #Physics #Pure mathematics #Quadratic equation #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quartic function #Space (punctuation) #Statistical physics #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2005.12.011
published in Nuclear Physics B 736(3), 302-318 (Elsevier BV) · 18 pages, 4 figures, exemple and some references added
arxiv created 2005/12/30 · openalex publication_date 2006/01/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.