Coherent states formulation of polymer field theory.
We introduce a stable and efficient complex Langevin (CL) scheme to enable the first direct numerical simulations of the coherent-states (CS) formulation of polymer field theory. In contrast with Edwards' well-known auxiliary-field (AF) framework, the CS formulation does not contain an embedded nonlinear, non-local, implicit functional of the auxiliary fields, and the action of the field theory has a fully explicit, semi-local, and finite-order polynomial character. In the context of a polymer solution model, we demonstrate that the new CS-CL dynamical scheme for sampling fluctuations in the space of coherent states yields results in good agreement with now-standard AF-CL simulations. The formalism is potentially applicable to a broad range of polymer architectures and may facilitate systematic generation of trial actions for use in coarse-graining and numerical renormalization-group studies.
Department of Chemical Engineering, University of California, Santa Barbara, California 93106, USA.
Xingkun
X
Man
Materials Research Laboratory, University of California, Santa Barbara, California 93106, USA.
Kris T
KT
Delaney
Department of Chemical Engineering, University of California, Santa Barbara, California 93106, USA.
Michael C
MC
Villet
Institut de Physique Théorique, CE-Saclay, CEA, F-91191 Gif-sur-Yvette Cedex, France.
Henri
H
Orland
Department of Chemical Engineering, University of California, Santa Barbara, California 93106, USA.
Glenn H
GH
Fredrickson