洛伦兹破缺暴胀中非正则动力学下的原初张量信号与引力波约束
Primordial Tensor Signatures and Gravitational Wave Constraints in Lorentz Violating Inflation with Non-Canonical Kinetics
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中文总结 AI 辅助
本文在非正则动力学洛伦兹破缺暴胀框架中推导张量谱指数与运行，提出其可作为洛伦兹破缺的互补探针，并与GW170817引力波速度约束比较。
中文摘要 AI 辅助
我们研究了具有非正则标量场动力学的洛伦兹破缺暴胀框架中的原初张量扰动。利用包含高阶动能项$K_3X^2$的爱因斯坦-Æther类型模型，我们推导了张量传播速度及其对有效洛伦兹破缺耦合的依赖关系。我们考虑了一个解析可解的无势背景，并研究了两个代表性耦合$q_k=\lambda_T\phi_k^2$和$q_k=\lambda_T\phi_k^4$。由此得到的张量谱指数$n_T$及其运行$\u03b1_T$满足不同的一致性关系，为原初引力波谱中的洛伦兹破缺提供了潜在信号。我们推导了相应的张量倾斜和运行约束，并将其与GW170817/GRB170817A给出的引力波速度的严格晚期宇宙界进行比较。我们强调，将该界转化为原初约束需要对暴胀与晚期宇宙之间张量扇区耦合的演化做出假设。我们的结果表明，原初张量可观测量可以为洛伦兹破缺及其与非正则暴胀动力学的相互作用提供互补的探测手段。
英文摘要
We investigate primordial tensor perturbations in a Lorentz violating inflationary framework with non-canonical scalar field dynamics. Using an Einstein-Æther type with a higher order kinetic term $K_3X^2$, we derive the tensor propagation speed and its dependence on an effective Lorentz violating coupling. We consider an analytically tractable potential free background and study two representative couplings, $q_k=λ_Tϕ_k^2$ and $q_k=λ_Tϕ_k^4$. The resulting tensor spectral index $n_T$ and its running $α_T$ satisfy distinct consistency relations, providing potential signatures of Lorentz violation in the primordial gravitational wave spectrum. We derive corresponding constraints from the tensor tilt and running and compare them with the stringent late-time bound on the gravitational wave speed from GW170817/GRB170817A. We emphasize that translating this bound into primordial constraint requires an assumption about the evolution of tensor sector coupling between inflation and the late Universe. Our results demonstrate that primordial tensor observables can provide a complementary probe of Lorentz violation and its interplay with non-canonical inflationary dynamics.
发表机构
- Indian Institute of Technology (Indian School of Mines)（印度理工学院（印度矿业学院））
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