We use the Lie derivative method to find solutions of E(2) invariant gauge fields on the plane. The gauge groups U(1) and SU(2) are considered. Nontrivial fieldconfigurations are obtained.
Tsai, W. T. (2017). How many regions do n lines divide the plane [master's thesis, National Chiao Tung University]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0030-0705201811403038
Wang, H., Wang, W., & Yi, X. X. (2009). Gauge Fields in Ultracold Bipartite Atoms. Chinese Journal of Physics, 47(1), 1-9. https://www.airitilibrary.com/Article/Detail?DocID=05779073-200902-47-1-1-9-a