The robustness of the vacuum wave function and other matters for Yang-Mills theory

Understand

In the first part of this paper, we present a set of simple arguments to show that the two-dimensional gauge anomaly and the (2+1)-dimensional Lorentz symmetry determine the leading Gaussian term in the vacuum wave function of (2+1)-dimensional Yang-Mills theory.

• This is to highlight the robustness of the wave function and its relative insensitivity to the choice of regularizations.
• We then comment on the correspondence with the explicit calculations done in earlier papers.
• We also make some comments on the nature of the gauge-invariant configuration space for Euclidean three-dimensional gauge fields (relevant to (3+1)-dimensional Yang-Mills theory).