奇异的杨-米尔斯关于规范理论的讨论
Exotic Yang-Mills dilaton gauge theories
摘要：
研究了一类奇异的非线性p-型非阿贝尔规范理论，它是由四维无质量1-型场和2-型场的线性阿贝尔规范理论的最一般允许的非平凡变形引起的.这些理论结合了1-形式和2-形式的Chapline-Manton型耦合，以及1-形式的Yang-Mills耦合，2-形式的Freedman-Townsend耦合，以及1-形式和2-形式之间的扩展Freedman-Townsend型耦合。结果表明，由此产生的理论有一个几何有趣的对偶配方，相当于一个异国情调的杨-米尔斯介子理论，涉及非线性西格玛领域。特别地，非线性σ场通过广义陈类4-形式项耦合到Yang-Mills 1-形式场。
英文摘要：
A exotic class of nonlinear p-form nonabelian gauge theories is studied, arising from the most general allowed nontrivial deformation of linear abelian gauge theory for a set of massless 1-form fields and 2-form fields in four dimensions. These theories combine a Chapline-Manton type coupling of the 1-forms and 2-forms, along with a Yang-Mills coupling of the 1-forms, a Freedman-Townsend coupling of the 2-forms, and an extended Freedman-Townsend type coupling between the 1-forms and 2-forms. It is shown that the resulting theories have a geometrically interesting dual formulation that is equivalent to an exotic Yang-Mills dilaton theory involving a nonlinear sigma field. In particular, the nonlinear sigma field couples to the Yang-Mills 1-form field through a generalized Chern class 4-form term.
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