Abstract
We present a detailed derivation of the one-particle-irreducible (1PI) differential renormalization-group generators originally developed by Nicoll and Chang and by Chang, Nicoll, and Young. We illustrate the machinery of the irreducible formulation by calculating to order the characteristic time exponent for the time-dependent Ginsburg-Landau model in the cases of conserved and nonconserved order parameter. We then calculate both and to order by applying to the 1PI generator an extension of the operator expansion technique developed by Wegner for the Wilson smooth-cutoff renormalization-group generator.
- Received 24 July 1981
DOI:https://doi.org/10.1103/PhysRevA.27.3311
©1983 American Physical Society