AI 中文总结
研究超导宇宙弦网络在膨胀宇宙中的演化，通过三维晶格场模拟，针对不同耦合常数探讨其演化及引力波功率谱，发现频谱形状与耦合常数有关，小尺度受相互作用强度影响且或能被未来高频引力波观测探测。
AI 中文摘要
我们在一个\(U(1)_{\rm local}\times U(1)_{\rm global}\)场论模型中，利用三维晶格场模拟研究了超导宇宙弦网络在膨胀宇宙中的演化。在\(U(1)_{\rm local}\)下带电的标量场形成宇宙弦，而与\(U(1)_{\rm global}\)相关的标量场作为载流子并在其附近凝聚。我们研究了形成弦场和载流子场之间耦合常数的几个值时弦网络的演化，并估计了由所得超导宇宙弦网络产生的引力波功率谱。我们发现频谱形状取决于耦合常数：随着相互作用强度增加，频谱在小尺度上受到抑制。这一特征可能被未来的高频引力波观测探测到。
英文摘要
We study the evolution of superconducting cosmic-string networks in a $U(1)_{\rm local}\times U(1)_{\rm global}$ field-theoretic model using three-dimensional lattice field simulations in an expanding universe. The scalar field charged under $U(1)_{\rm local}$ forms cosmic strings, while the scalar field associated with $U(1)_{\rm global}$ acts as a current carrier and condenses in their vicinity. We investigate the evolution of the string network for several values of the coupling constant between the string-forming and current-carrier fields and estimate the gravitational-wave power spectrum sourced by the resulting superconducting cosmic-string network. We find that the spectral shape depends on the coupling constant: as the interaction strength increases, the spectrum is suppressed on small scales. This feature may be probed by future high-frequency gravitational-wave observations.
Comments14 pages, 9 figures
