Journal of Statistical Physics, Vol. 90, Nos. 1/2, 1998. p. 311-326.
The two-dimensional, one-component logarithmic Coulomb gas is mapped onto a non-Hermitian fermionic field theory. At beta = 2, the field theory is free. Correlation functions are calculated and a perturbation theory is discussed for extending to other beta. A phase transition is found at the mean-field level at large beta. Some results are extended to spaces of constant negative curvature.