<p>Tools of quantum and statistical field theories have been successfully applied to turbulence. Nonequilibrium field theory is employed for modeling of hydrodynamic turbulence (HDT), which has small viscosity. In HDT, viscosity renormalization yields wavenumber-dependent viscosity and energy spectrum. Field theory calculations also yield nonzero energy flux for HDT. These field-theoretic computations have been generalized to other systems, such as passive scalar and magnetohydrodynamics. In this review, I cover these aspects, along with a brief coverage of weak turbulence, intermittency, and equilibrium solutions of Euler turbulence.</p>