  We consider the stochastic Yang-Mills heat equation on the two-dimensional
torus. Using regularity structures, Chandra, Chevyrev, Hairer, and Shen
previously proved both the local well-posedness and gauge-covariance of this
model. In this article, we revisit their results using para-controlled
calculus. One of the main ingredients is a new coordinate-invariant perspective
on vector-valued stochastic objects.
