论文标题
四维结构域分解,用于分解费米昂决定因素
Four-dimensional domain decomposition for the factorization of the fermion determinant
论文作者
论文摘要
费米昂决定因素对量规场的非本地依赖性限制了我们在晶格上模拟量子染色体动力学的能力。在这里,我们基于晶格的重叠四维结构域的分解,提出了费米决定因素的量规场依赖性的分解。最终的作用是量规和辅助骨磁场中的块状。可能的应用是多级集成,主场仿真以及蒙特卡洛算法和代码的更有效的并行化。
The non-local dependence of the fermion determinant on the gauge field limits our ability of simulating Quantum Chromodynamics on the lattice. Here we present a factorization of the gauge field dependence of the fermion determinant based on an overlapping four-dimensional domain decomposition of the lattice. The resulting action is block-local in the gauge and in the auxiliary bosonic fields. Possible applications are multi-level integration, master field simulations, and more efficient parallelizations of Monte Carlo algorithms and codes.