爱因斯坦-狄拉克-希格斯方程的类粒子解：基态、激发态和多费米子态
Particlelike solutions of the Einstein-Dirac-Higgs equations: ground, excited, and many-fermion states
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中文总结 AI 辅助
本研究扩展了爱因斯坦-狄拉克-希格斯方程的孤子解研究，涵盖基态、激发态及多费米子态，发现激发态和多费米子态中希格斯场呈阶梯式变化，并解释了强耦合下ADM质量与费米子质量的显著差异。
中文摘要 AI 辅助
我们提出了对渐近闵可夫斯基时空中最小耦合的爱因斯坦-狄拉克-希格斯方程的引力局域孤子类解的扩展研究。描述这些汤川耦合的狄拉克星的运动方程被推广到任意偶数个组成费米子。我们首先扩展了Leith等人[Phys. Rev. D. 107, 106020 (2023)]中最初分析的双费米子基态解的讨论。在将我们的分析扩展到激发态和多费米子态后，我们发现这两种态都表现出与双费米子基态对应物不同的行为。在这些激发态和多费米子态中，希格斯场可能在孤子内呈现阶梯式增加，有时甚至减少，这在双费米子基态中未曾观察到。我们还提出了强汤川耦合态中存在的显著ADM质量与费米子质量差异的潜在原因。
英文摘要
We present an extended study of the gravitationally localized soliton-like solutions to the minimally-coupled Einstein-Dirac-Higgs equations, embedded in asymptotically Minkowski spacetimes. The equations of motion describing these Yukawa-coupled Dirac stars are generalized to any even number of constituent fermions. We first expand the discussion of two-fermion ground-state solutions initially analyzed in Leith et al. [Phys. Rev. D. 107, 106020 (2023)]. Upon extending our analysis to excited states and many-fermion states, we find that both exhibit different behaviors to their two-fermion ground-state counterparts. In these excited states and many-fermion states, the Higgs field may exhibit stepwise increases and at times decrease within the soliton, which has not been seen for the two-fermion ground states. We also propose the potential cause of a significant degree of ADM-to-fermion mass disparity, which is present in states with strong Yukawa-coupling.
发表机构
- SUPA Physics and Astronomy, University of St Andrews（圣安德鲁斯大学）
- Nottingham Centre of Gravity, University of Nottingham（诺丁汉大学）
- School of Mathematical Sciences, University of Nottingham（诺丁汉大学）
- Centre for Fluid and Complex Systems, Coventry University（考文垂大学）
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