Correlation functions for one-dimensional interacting fermions with spin-orbit coupling

We compute correlation functions for one-dimensional electron systems in which spin and charge degrees of freedom are coupled through spin-orbit coupling. Charge density waves, spin density waves, and singlet- and triplet-superconducting fluctuations are studied. We show that the spin-orbit interaction modifies the exponents and the phase diagram of the system, changing the dominant fluctuations and making new susceptibilities diverge for low temperature.