量子场论中的非对易几何与极能宇宙成因中微子物理
Noncommutative geometry in quantum field theory and the cosmogenic neutrino physics at the extreme energies
摘要：
在中微子-核子非弹性散射的框架下，分析了受高能宇宙射线实验启发的协变θ-精确非对易（NC）规范场理论。其次，我们找到了中微子两点函数，并给出了与硬紫外（UV）发散项、软化紫外/红外（UV/IR）混合项和有限项解耦的封闭形式。对于保持么正性的非对易参数θ的特定选择，有问题的UV发散项和UV/IR混合项消失。中微子色散关系的非微扰修改是渐近独立的非对易性的规模在这两个，低和高能量的限制，并可能允许超光速传播。
英文摘要：
Analysis of the covariant theta-exact noncommutative (NC) gauge field theory (GFT), inspired by high energy cosmic rays experiments, is performed in the framework of the inelastic neutrino-nucleon scatterings. Next we have have found neutrino two-point function and shows a closed form decoupled from the hard ultraviolet (UV) divergent term, from softened ultraviolet/infrared (UV/IR) mixing term, and from the finite terms as well. For a certain choice of the noncommutative parameter theta which preserves unitarity, problematic UV divergent and UV/IR mixing terms vanish. Non-perturbative modifications of the neutrino dispersion relations are assymptotically independent of the scale of noncommutativity in both, the low and high energy limits and may allow superluminal propagation.
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