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

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

2007-05-21

arxiv.org/abs/0705.2898v1

Phys.Rev.D77:025014,2008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1103/PhysRevD.77.025014

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).

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