Testing the Nambu─Goto approximation of cosmic string by lattice field theory simulations
The precise calculation of gravitational waves (GWs) from cosmic string networks is of significant theoretical and experimental interest. The Nambu─Goto (NG) approximation has long been employed to calculate GW emission from such networks; however, its validity has never been systematically verified. We perform large-scale zero-temperature Abelian─Higgs lattice simulations under different gauge couplings and compare them with NG predictions. We find excellent agreement in the power-law region for near-global strings but strong deviation for strongly coupled local strings with <inline-formula><mml:math><mml:msub><mml:mi>m</mml:mi><mml:mi>v</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>m</mml:mi><mml:mi>s</mml:mi></mml:msub><mml:mo>∼</mml:mo><mml:mn>1</mml:mn></mml:math></inline-formula>, quantitatively establishing the breakdown of the NG approximation. Additionally, we confirm that particle emission significantly dominates the energy loss of the string network, with the ratio of GW energy to particle energy approximately <inline-formula><mml:math><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> to <inline-formula><mml:math><mml:msup><mml:mn>10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for both near-global and local string scenarios.
展开 ▾用格点场论模拟检验宇宙弦的Nambu-Goto近似 · 通过大规模零温度阿贝尔-希格斯格点模拟,系统验证了Nambu-Goto近似在不同规范耦合下的有效性,发现近全局弦符合良好,而强耦合局部弦出现显著偏离,从而定量确立了该近似的失效,并证实粒子发射主导能量损失。
预印本 2025-07-01 · 刊出 2026-07-16 · 收录 2026-07-27