Lattice gauge fixing is required to compute gauge-variant quantities, for example those used in RI-MOM renormalization schemes or as objects of comparison for model calculations. Recently, gauge-variant quantities have also been found to be more amenable to signal-to-noise optimization using contour deformations. These applications motivate systematic parameterization and exploration of gauge-fixing schemes. This work introduces a differentiable parameterization of gauge fixing which is broad enough to cover Landau gauge, Coulomb gauge, and maximal tree gauges. The adjoint state method allows gradient-based optimization to select gauge-fixing schemes that minimize an arbitrary target loss function.

翻译：格点规范固定是计算规范相关量所必需的，例如在RI-MOM重正化方案中使用的量，或作为模型计算比较的对象。最近还发现，规范相关量通过轮廓变形技术更易于进行信噪比优化。这些应用推动了对规范固定方案的系统化参数化与探索。本研究引入了一种可微分的规范固定参数化方法，其涵盖范围足够广泛，可包含朗道规范、库仑规范及极大树规范。伴随状态方法使得基于梯度的优化能够选择使任意目标损失函数最小化的规范固定方案。