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Coherent States Formulation of Polymer Field Theory

Abstract : We introduce a stable and efficient complex Langevin (CL) scheme to enable the first 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 non-linear, non-local functional of the auxiliary fields, and the action of the field theory has a fully explicit, finite-order and semi-local 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 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.
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Submitted on : Tuesday, August 5, 2014 - 3:09:26 PM
Last modification on : Monday, December 13, 2021 - 9:16:03 AM

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Xingkun Man, Kris T. Delaney, Michael C. Villet, Henri Orland, Glenn H. Fredrickson. Coherent States Formulation of Polymer Field Theory. Journal of Chemical Physics, American Institute of Physics, 2013, 140 (2), pp.4905. ⟨10.1063/1.4860978⟩. ⟨cea-01054230⟩



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