Geodesic
Two-dimensional gauge fields with independent values of~the field tensor at~every point
Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 2, pp. 172-188

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Gauge invariant quantum measure is constructed for the some class of the two-dimensional Euclidean gauge fields in particular with the Lagrangian $\mathscr L_E=\frac1{4g^2}(F_{\lambda\mu},F_{\lambda\mu})$, the gauge group being an arbitrary compact Lie group. The measure is expressed in terms of the contour variables. The corresponding stress tensor $F_{\lambda\mu}(x)$ is a Gaussian generalised random field with independent values at each point. Some generalizations for the ease of non-Gaussian stress tensors are pointed out. 
@article{TMF_1980_44_2_a2,
     author = {A. I. Oksak},
     title = {Two-dimensional gauge fields with independent values of~the field tensor at~every point},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {172--188},
     publisher = {mathdoc},
     volume = {44},
     number = {2},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_44_2_a2/}
}
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A. I. Oksak. Two-dimensional gauge fields with independent values of~the field tensor at~every point. Teoretičeskaâ i matematičeskaâ fizika, Tome 44 (1980) no. 2, pp. 172-188. http://geodesic.mathdoc.fr/item/TMF_1980_44_2_a2/