标题： 非交换几何方法研究左-右对称弱相互作用 显示英文标题

标题： A Non-Commutative Geometric Approach to Left-Right Symmetric Weak Interactions

摘要： 通过结合非交换代数上的广义外微分形式代数、离散方向的规范以及相关的Higgs场，我们考虑了左-右对称模型的玻色子部分$SU(2)_{L}\otimes SU(2)_{R}\otimes U(1)$的构造。我们发现在这个形式体系内，可以充分利用与非交换分级代数相关的规范联络。 显示英文摘要

摘要： By combining the generalized exterior algebra of forms over a noncommutative algebra with the gauging of discrete directions and the associated Higgs fields, we consider the construction of the bosonic sector of left-right symmetric models of the form $SU(2)_{L}\otimes SU(2)_{R}\otimes U(1)$. We see that within this formalism maximal use can be made of the gauge connection associated with the non-commutative graded algebra.