有限场量子电动力学对真空双折射和磁星极化输运的修正
Finite-Field QED Corrections to Vacuum Birefringence and Magnetar Polarization Transport
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中文总结 AI 辅助
研究恒定磁场中低能光子传播，用单圈海森堡-欧拉理论保留γ_s，将双折射用于磁星极化输运。分析不同模型和位置的结果，指出重整化响应有最大值，确定真空共振可观测量对测试有限场QED最敏感。
中文摘要 AI 辅助
我们在单圈海森堡-欧拉理论中研究了恒定磁场中低能光子的传播，保留了折射率归一化γ_s且不进行展开。这里的“有限场”表示在单圈恒定场近似下对B/B_cr的精确依赖。由此产生的双折射被应用于磁星极化输运。在中心偶极模型中，极化限制半径的变化小于10^-12，因为模式解耦发生在约10^2R_NS处，此时B远小于B_cr。然而，在表面附近，弱场科顿-穆顿表达式在10^15 G时高估累积双折射相位达2.9倍。在等离子体-真空共振处，有限场修正使1E 1547.0-5408的共振密度降低32%，绝热转换能量提高14%；对于1RXS J1708-4009，相应变化为2.6和因子1.37，对于SGR 1806-20为9.7和2.13，后者受强场渐近线控制。重整化的单圈平行模式磁响应保持正值并在17B_cr附近出现一个宽最大值。严格截断的O(α)响应是单调的；因此最大值是重整化单圈本构模型的结构预测，但其详细轮廓和精确位置需要更高圈次的验证。这些结果确定真空共振可观测量是测试磁星中有限场量子电动力学最敏感的通道。
英文摘要
We study low-energy photon propagation in a constant magnetic field within the finite-field one-loop Heisenberg--Euler framework and apply the resulting mode-dependent refractive indices to magnetar polarization transport. In a centered-dipole model, the polarization-limiting radius is unchanged to better than $10^{-12}$ because mode decoupling occurs at $\sim10^2R_{\rm NS}$, where $B\ll B_{\rm cr}$. Near the surface, however, the weak-field Cotton--Mouton expression overestimates the accumulated birefringent phase by up to a factor $2.9$ at $10^{15}$~G. At the plasma--vacuum resonance, finite-field corrections reduce the resonance density by $32\%$ and raise the adiabatic conversion energy by $14\%$ for 1E~1547.0$-$5408; the corresponding changes are factors $2.6$ and $1.37$ for 1RXS~J1708$-$4009, and factors $9.7$ and $2.13$ for SGR~1806$-$20, the latter controlled by the strong-field asymptote. The parallel-mode magnetic response remains positive and exhibits a broad maximum near $17B_{\rm cr}$. Its strict $\mathcal O(α)$ expansion is monotonic, indicating that the detailed position and profile of the maximum are not controlled beyond the present approximation and require higher-loop assessment. These results identify vacuum-resonance observables as the most sensitive channel for testing finite-field QED in magnetars.
