利用四维交错费米子搜寻对称质量生成机制
Searching for symmetric mass generation with staggered fermions in four dimensions
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中文总结 AI 辅助
该研究通过数值模拟含SU(2)二重态交错费米子与伴随标量场耦合的格点希格斯模型，发现其相结构的多临界点，为对称质量生成机制提供了格点层面的数值依据。
中文摘要 AI 辅助
我们开展数值模拟，绘制由两个无质量交错费米子场构成的格点希格斯模型的相图与临界行为，这两个费米子场在整体SU(2)群下形成二重态，且与伴随表示的标量场耦合。标量作用量包含二次项、四次项构成的势以及标量动能项。在固定四次耦合的情况下，我们探索二维参数空间，发现弱耦合区存在无质量对称相，强耦合区存在有质量对称相（SMG相），中间由反铁磁相分隔这两种 regime。这些结果与 leading order 弱耦合和强耦合展开一致。我们发现，界定中间相的临界线在一个独特点合并，该点处所有费米子双线性凝聚体均消失，但费米子 susceptibility 随格点大小的非平凡幂次发散。我们推测该合并点对应一个多临界点，可能描述由某些拓扑缺陷的凝聚体构成的相。
英文摘要
We conduct numerical simulations to map out the phase diagram and critical behavior of a lattice Higgs model composed of two massless staggered fermion fields forming a doublet under a global $SU(2)$ and coupled to a scalar field in the adjoint representation of the group. The scalar action consists of a potential comprising quadratic and quartic terms and a scalar kinetic term. At fixed quartic coupling we explore a two-dimensional parameter space finding a massless symmetric phase at weak coupling and a massive symmetric phase (SMG phase) at strong coupling. An intermediate anti-ferromagnetic phase separates these two regimes. These results are consistent with leading order weak and strong coupling expansions. We find that the critical lines bounding the intermediate phase merge at a unique point where all fermion bilinear condensates vanish but fermion susceptibilities diverge as non-trivial powers of the lattice size. We conjecture that this merged point corresponds to a multicritical point and may describe a phase consisting of a condensate of certain topological defects.
