The Structure of the Vacuum. II : Non-Abelian Gauge Models

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概要

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• Assuming parallelism between CP^<n-1> model in two dimensions and SU(N) gauge model in four dimensions, we conclude : i) The vacuum of an SU(N) gauge model is two-fold degenerate and a topological symmetry breaking occurs. ii) In a lattice gauge model a new king of phase transition occurs at the crossover point g_T from strong to weak coupling. Although the system is disordered both for g >larr; g_T and g ⥶ , the mechanisms to disorder the system are different. for g >larr; g_T vortices with finite thickness disorder the system, while for g ⥶ g_T half-instanton gas disorders the system (for SU(2)). For SU(3), one-third-instanton gas disorders the system. The relation between an instanton and a Z(2) monopole as well as the relation between SU(2) theory and SU(2)/Z(2) theory is discussed. We also derive constraints on the number of flavor from requirement of stability of half (one-third)-instanton gas.

• 理論物理学刊行会の論文
• 1982-09-25

著者

• Iwasaki Yoichi

  Center For Computational Physics And Institute Of Physics University Of Tsukuba

• Iwasaki Yoiti

  Institute of Physics, University of Tsukuba

関連論文

• Quantum Chromodynamics with Many Flavors
• The Structure of the Vacuum. I : Two-Dimensional Non-Linear O(3) σ Model
• The Structure of the Vacuum. II : Non-Abelian Gauge Models

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