2005/08/31 by Mohammad Khorrami, M. Khorrami, M. Alimohammadi · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Discontinuity (linguistics) #Gauge theory #Limit (mathematics) #Loop (graph theory) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Wilson loop #Yang–Mills existence and mass gap #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2005.11.008
published in Nuclear Physics B 733(1-2), 123-131 (Elsevier BV) · 11 pages,some typos corrected, to be appeared in Nucl. Phys. B
arxiv created 2005/11/21 · openalex publication_date 2005/11/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The large-N limit of the expectation values of the Wilson loops corresponding to two-dimensional U(N) Yang-Mills and generalized Yang-Mills theories on a sphere are studied. The behavior of the expectation values of the Wilson loops both near the critical area and for large areas are investigated. It is shown that the expectation values of the Wilson loops at large areas behave exponentially with respect to the area of the smaller region the boundary of which is the loop; and for the so called typical theories, the expectation values of the Wilson loops exhibit a discontinuity in their second derivative (with respect to the area) at the critical area.