论文标题
玻色子模式的电子特性在三点费米循环和新兴SYK物理学中
Electronic properties of the boson mode in a three-point fermion loop and the emergent SYK physics
论文作者
论文摘要
我们在三点费米子环中研究了玻色子模式的电子特性。在此框架中，研究了单粒子激发和多体局部局部（在想象的时间和动量空间中）野外效应，在IR或紫外线限制中，其密度波动是由外部电势（或骨频率）引起的。虽然在外部潜力消失的效果的限制中，这等同于费米子频率的紫外线限制，因此可以将保护近似值与luttinger-ward-ward的分析一起应用，在这种情况下，对费尔米体自我能够的异常贡献或多体交互项的期望值，$ g^^$ g^^$ g^^$ g^^$ g^^ung \ langexuduct不可约合的粒子粒子顶点和$Δ$是玻色子场操作员），消失，并导致Hartree-fock型动量和频率无关的费米昂自我能源。相关器$ \langleδ^†δ\ rangle $是正的，可以通过动力敏感性的局部力矩总和来获得。
We investigate the electronic properties of the boson mode in a three-point fermion loop. In this framwork, the single-particle excitation and the many-body local (in imaginary time and momentum space) field effects are investigated in IR or UV limits with the density fluctuation induced by external potential (or bosonic frequency). While in the limit of vanishing effect of external potential, which is equivalent to UV limit of the fermionic frequency, the conserving approximation can be applied together with the Luttinger-Ward analysis, in which case the anomalous contribution to the fermion self-energy or the expectation value of many-body interaction term, which is $g^{2}\langle Δ^†Δ\rangle$ ($g$ is the irreducible particle-particle vertex and $Δ$ is the boson field operator), vanishes, and results in a Hartree-Fock type momentum- and frequency-independent fermion self-energy. The correlator $\langleΔ^†Δ\rangle$ is positive which can be obtained through the local moment sum rule of dynamical susceptibility.
