费米子袋、对偶性和三维无质量格点Thirring模型
Fermion bags, duality and the three dimensional massless lattice Thirring model
摘要：
最近提出的费米子袋方法是求解某些四费米子格点场论的一种强有力的方法。由于强耦合和弱耦合之间的对偶性的存在，该方法导致有效的蒙特卡罗算法在这两个限制。新方法使我们能够第一次准确地计算接近量子临界点的三维晶格Thirring模型与大晶格上的无质量费米子的数量。在量子临界点的临界指数为$ν=0.85(1)$、$η= 0.65(1)$和$η_ψ= 0.37(1)$。
英文摘要：
The recently proposed fermion bag approach is a powerful technique to solve some four-fermion lattice field theories. Due to the existence of a duality between strong and weak couplings, the approach leads to efficient Monte Carlo algorithms in both these limits. The new method allows us for the first time to accurately compute quantities close to the quantum critical point in the three dimensional lattice Thirring model with massless fermions on large lattices. The critical exponents at the quantum critical point are found to be $ν=0.85(1)$, $η= 0.65(1)$ and $η_ψ= 0.37(1)$.
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