共形场论的宇宙学意义
Cosmological implications of conformal field theory
摘要:
要求所有无质量的基本场具有共形标度对称性,消除了引力理论与基本粒子和场的量子理论之间的冲突。将这一假设推广到希格斯模型的标量场,规范对称和共形对称的动力学破缺决定了相互作用场的参数。在均匀各向同性几何条件下,导出了一个修正的Friedmann宇宙演化方程,该方程具有非零的宇宙学常数.数值解确定的参数与观测到的Ia型超新星的光度距离和宇宙微波背景(CMB)中的峰结构比等红移数据($z\leq z_*=1090$)的经验值一致。这个理论不需要暗物质。
英文摘要:
Requiring all massless elementary fields to have conformal scaling symmetry removes a conflict between gravitational theory and the quantum theory of elementary particles and fields. Extending this postulate to the scalar field of the Higgs model, dynamical breaking of both gauge and conformal symmetries determines parameters for the interacting fields. In uniform isotropic geometry a modified Friedmann cosmic evolution equation is derived with nonvanishing cosmological constant. Parameters determined by numerical solution are consistent with empirical data for redshifts $z\leq z_*=1090$, including luminosity distances for observed type Ia supernovae and peak structure ratios in the cosmic microwave background (CMB). The theory does not require dark matter.
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