论文标题
n $^3 $ lo的退化费米斯物质：量子电动力学
Degenerate fermionic matter at N$^3$LO: Quantum Electrodynamics
论文作者
论文摘要
我们确定冷且密集的电子气体的压力几乎完全完整的近代到接头订单（n $^3 $ lo）在精细结构常数$α_e$中，利用了来自伴侣纸的两环光子自我能源的新结果。我们的结果包含对此阶压的压力的所有敏感贡献，包括$ o（α_e^3 \lnα_e^{}）$项的系数，并且仅留下与未经许可的硬矩的贡献相关的单个系数。此外，我们通过确定该顺序的一部分努力贡献，明确证明了根据有效的现场理论范式完全取消红外差异。我们的计算为45年历史的里程碑结果提供了第一个改进，并证明了相应的n $^3 $ lo计算对感冒和密集夸克物质的可行性。
We determine the pressure of a cold and dense electron gas to a nearly complete next-to-next-to-next-to-leading order (N$^3$LO) in the fine-structure constant $α_e$, utilizing a new result for the two-loop photon self-energy from a companion paper. Our result contains all infrared-sensitive contributions to the pressure at this order, including the coefficient of the $O(α_e^3 \ln α_e^{ })$ term, and leaves only a single coefficient associated with the contributions of unresummed hard momenta undetermined. Moreover, we explicitly demonstrate the complete cancellation of infrared divergences according to the effective field theory paradigm by determining part of the hard contributions at this order. Our calculation provides the first improvement to a 45-year-old milestone result and demonstrates the feasibility of the corresponding N$^3$LO calculation for cold and dense quark matter.
