Z3 gauge theory coupled to fermions and quantum computing

外杨-米尔斯规范场中的费米子重整化顶点函数、有效质量和凝聚

Fermion renormalized vertex functions, effective mass, and condensate in an external Yang-Mills gauge field

本文利用非阿贝尔平面波规范场中狄拉克算子的精确格林函数，研究费米子在外部杨-米尔斯规范场中传播时的重整化费米子-胶子顶点、费米子有效质量和费米子凝聚，并讨论了在强场QCD和非阿贝尔施温格物理中的应用。

Boson-Fermion Duality from Discontinuous Gauge Symmetry

By extending local U(1) gauge symmetry to discontinuous case, we find that under one special discontinuous U(1) gauge transformation the symmetric and antisymmetric wave functions can transform into each other in one dimensional quantum mechanics. The free spinless fermionic system and bosonic system with $δ$-type vector gauge potential are proved to be equivalent. The relation also holds in higher space-time dimensions.

费米子在外部杨-米尔斯规范场中的精确格林函数

Exact Green's function for fermions in an external Yang-Mills gauge field

研究费米子在非阿贝尔规范场中的格林函数，通过光锥上的平面波解杨-米尔斯方程，探讨其在SU(N)对称群下的精确表达。

哈密顿格点规范理论中的手征费米子

Chiral fermion in the Hamiltonian lattice gauge theory

该研究在格点规范理论哈密顿形式下讨论手征费米子，为重叠费米子定义了可与哈密顿量对易的手征荷算符，研究了本征值谱反映的手征性质，并证明一维威尔逊费米子是手征费米子。

连续规范群格点规范理论变分蒙特卡洛算法：(2+1)维有限密度动态费米子紧致QED研究

A variational Monte Carlo algorithm for lattice gauge theories with continuous gauge groups: a study of (2+1)-dimensional compact QED with dynamical fermions at finite density

提出一种无符号问题的变分蒙特卡洛方法，用于连续规范群格点规范理论，并在(2+1)维有限密度紧致QED中验证其有效性，成功探测密度诱导相变。