发表机构
Università di Camerino; Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Perugia; Department of Nanoscale Science and Engineering, University at Albany-SUNY; Istituto Nazionale di Astrofisica (INAF), Osservatorio Astronomico di Brera; Al-Farabi Kazakh National University（卡梅里诺大学; 意大利国家核物理研究所佩鲁伽分部; 奥尔巴尼州立大学纳米科学与工程系; 意大利国家天体物理研究所布雷拉天文台; 阿尔法拉比哈萨克国立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究Proca电动力学中暴胀磁场生成，考虑Schwinger粒子产生及其反作用，发现非零耦合下粒子产生显著降低暴胀末期电场能量密度。
AI 中文摘要
我们研究了包含有质量矢量场的暴胀磁场生成，包括通过Schwinger效应产生的带电标量粒子及其对背景电场能量密度的反作用。最初忽略Schwinger效应，我们对矢量场进行量子化，并求解横向和纵向模式的运动方程，计算能量动量张量。随后，我们纳入电场能量密度的反作用，并表明纵向能量密度相对于电场背景是次主导的。由于电场能量密度主导了磁场的贡献，我们可以将其与微扰贡献分开处理。在研究通过Schwinger效应产生粒子时，我们采用这种方法，假设其反作用仅作用于背景电场能量密度。后者通过一个经典背景电磁场与量子复标量场最小耦合来计算。而磁场和纵向分量则通过量子场来描述。在此框架下，只要电场能量密度相对于其他分量保持主导，Schwinger产生就仅影响电场能量密度。作为一致性检验，我们验证了在耦合常数为零时，我们恢复的电场能量密度与完全量子电磁描述中得到的结果相同。最后，我们表明对于非零耦合常数，Schwinger粒子产生在暴胀的最后阶段显著降低了电场能量密度。
英文摘要
We investigate inflationary magnetogenesis with massive vector fields, including charged scalar particle production via the Schwinger effect and its backreaction on the background electric energy density. Initially neglecting the Schwinger effect, we quantize the vector field and solve the equations of motion for transverse and longitudinal modes, computing the energy momentum tensor. We then incorporate the backreaction of the electric energy density and show that the longitudinal energy density is subleading compared to the electric background. Since the electric energy density dominates the magnetic contribution, we can treat the former separately from the perturbative contributions. We adopt this approach when studying particle production via the Schwinger effect, assuming that its backreaction acts only on the background electric energy density. The latter is computed using a classical background electromagnetic field minimally coupled to a quantum complex scalar field. The magnetic and longitudinal components are instead described through quantum fields. In this framework, the Schwinger production affects only the electric energy density, as long as it remains dominant compared to the other components. As a consistency check, we verify that for a null coupling constant we recover the same electric energy density as obtained within the fully quantum electromagnetic description. Finally, we show that for non-null coupling constants Schwinger particle production drastically reduces the electric energy density during the final stages of inflation.
