光锥反射对称中微子模型中的手征不变化身
Chirally Invariant Avatar in a Model of Neutrinos with Light Cone Reflection Symmetry
摘要:
在以前的工作中,我们开发了一个新的对称,光锥反射(LCR)的基础上的中微子模型,互换类空和类时间隔。在本文中,我们从四维模型,并建立一个二维的化身,服从相同的运动方程,并保持了光锥反射对称性和手征对称性的原始理论。化身还包含使四维模型规范不变的相互作用。在附录中,我们对如何确定进入LCR-协变导数定义的标量场作了一些说明。
英文摘要:
In previous work we developed a model of neutrinos based on a new symmetry, Light Cone Reflection (LCR), that interchanges spacelike and timelike intervals. In this paper we start with the four-dimensional model, and construct a two-dimensional avatar that obeys the same equations of motion, and preserves both the light-cone reflection symmetry and the chiral symmetry of the original theory. The avatar also contains the interaction that rendered the four-dimensional model gauge invariant. In an addendum, we make some remarks about how to determine the scalar field that enters into the definition of the LCR-covariant derivative.
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