发表机构
Tokyo University of Science（东京科学大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在球对称弯曲时空中将手征夸克孤子模型与爱因斯坦引力自洽求解，发现狄拉克海稀释引力效应，并在大动力学质量下导致负ADM质量。
AI 中文摘要
本文研究了静态球对称时空背景下，基于狄拉克费米子与非线性手征场耦合的爱因斯坦-狄拉克系统。我们考察了引力对费米子动力学质量的影响。手征夸克孤子模型（CQSM）最初是一个受大$N_\textrm{c}$ QCD低能区域启发的强子模型，通过正则化单费米子圈实现局域费米子并完整包含狄拉克海。我们将CQSM推广到球对称弯曲时空并与爱因斯坦引力耦合。我们成功自洽地求解了CQSM和爱因斯坦方程，获得了费米子能量的谱流以及ADM质量的谱流。狄拉克海稀释了能量-动量张量的效应，即使存在局域化物质，也会产生引力的无效点。对于更大的动力学质量$M\sim \langle\bar{\psi}\psi\rangle$，狄拉克海效应变得主导，导致负ADM质量的出现。
英文摘要
In this paper, we study Einstein-Dirac system based on a Dirac fermion coupled with a nonlinear chiral field on static spherically symmetric spacetime. Gravitational effects on the dynamical mass of fermions are examined. The chiral quark soliton model (CQSM) originally was a model of hadron inspired by the low-energy regime of large-$N_\textrm{c}$ QCD, realizing localized fermions with the full inclusion of the Dirac-sea, which is derived from a regularized one-fermion loop. We extend the CQSM in spherically symmetric curved spacetime and coupled with the Einstein gravity. We successfully solve the CQSM and the Einstein equation self-consistently, and obtain the spectral flow of the fermion energies and also of the ADM mass. The Dirac-sea dilutes the effect of the energy-momentum tensor, which induces an inactive point for the impact of gravity even when the localizing matter exists. The Dirac-sea effect becomes dominant for larger dynamical mass $M\sim \langle\barψψ\rangle$, leading to the emergence of the negative ADM mass.
Comments17 pages, 10 figures, minor changes, typo corrected
