朗道规范下耦合鬼场与胶子戴森-施温格方程的神经解
Neural solutions of coupled ghost and gluon Dyson--Schwinger equations in Landau gauge
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中文总结 AI 辅助
研究通过仅从重整化方程残差训练的神经表示求解四维朗道规范杨-米尔斯理论中耦合的鬼场与胶子戴森-施温格方程，神经解与定点解在百分比水平一致且稳定，还再现了相关物理现象。
中文摘要 AI 辅助
四维朗道规范杨-米尔斯理论中耦合的鬼场与胶子戴森-施温格方程（DSEs）通过仅从重整化方程残差训练的神经表示来求解。神经解和定点解在百分比水平上一致，并且在初始化、网络大小、积分网格和红外边界条件变化时保持稳定。三胶子顶点模型的变化产生的影响比神经误差大得多。在截断限制内还再现了MiniMOM紫外跑动和胶子施温格函数的符号变化。
英文摘要
The coupled ghost and gluon Dyson--Schwinger equations (DSEs) of four-dimensional Landau-gauge Yang--Mills (YM) theory are solved with a neural representation trained only from renormalized equation residuals. The neural and fixed-point solutions agree at the percent level and remain stable under changes of initialization, network size, integration grid, and infrared boundary condition. Variations of the three-gluon vertex model produce substantially larger effects than the neural error. The MiniMOM ultraviolet running and the sign change of the gluon Schwinger function are also reproduced within the limitations of the truncation.
发表机构
- King Juan Carlos University（金 Juan 卡洛斯大学）
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