AI 中文总结
研究从度规-仿射守恒律推导贝林范特-罗森菲尔德对称化过程,借助仿射提升,经与仿射联络最小耦合及变分定义超动量流,取平坦时空极限恢复关系,还研究了耦合形式及物理意义,以QED和QCD为例说明。
AI 中文摘要
我们通过平坦时空场论的仿射提升,从度规-仿射守恒律推导出贝林范特-罗森菲尔德对称化过程。在与独立仿射联络进行最小耦合后,作用量对联络的变分定义了超动量流。取所得守恒律的平坦时空极限,我们恢复了贝林范特-罗森菲尔德关系,超动量流的散度再现了贝林范特改进项。我们深入研究了具有此性质的耦合形式及其物理意义,并以量子电动力学和量子色动力学为例进行说明。
英文摘要
We derive the Belinfante--Rosenfeld symmetrization procedure from the metric-affine conservation law by means of an affine lift of flat-spacetime field theories. Following minimal coupling to an independent affine connection, variation of the action with respect to the connection defines the hypermomentum current. Taking the flat-spacetime limit of the resulting conservation law, we recover the Belinfante--Rosenfeld relation, with the divergence of the hypermomentum current reproducing the Belinfante improvement term. We thoroughly study the form of the couplings with this property and their physical significance. The construction is illustrated for Quantum Electrodynamics and Quantum Chromodynamics.
Comments15 pages, no figures, matches published version