Date: 2024-10-18 | Article ID: 00951 |

Articles 51376 and 89053 describe ways to construct models involving quantum gauge fields when space or spacetime is treated as a lattice. In those models, the gauge field is described as a collection of G-valued **link variables**, one for each directed link in the lattice, where G is the gauged group. The collection of link variables used in those constructions is overcomplete: the same model (on the same lattice) can be described using only a subset of the link variables. This article explains how to choose a subset that is just barely complete. This is a type of **gauge fixing**. Important special cases of this type of gauge fixing include the **temporal gauge** and the **axial gauge** (after extending them slightly so that only a *minimal* complete set of link variables remains). This type of gauge fixing can be useful for understanding a model's general properties. Gauge fixing is also a prerequisite for defining small-coupling expansions. This article also shows that even after complete gauge fixing, some **zero modes** may remain.

**2024-10-18**(first version)

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