Work

Fresh look at randomly branched polymers

Year: 2010
Type: article
Abstract: We develop a new, dynamical field theory of isotropic randomly branched polymers, and we use this model in conjunction with the renormalization group (RG) to study several prominent problems in the physics of these polymers. Our model provides an alternative vantage point to understand the swollen phase via dimensional reduction. We reveal a hidden Becchi-Rouet-Stora (BRS) symmetry of the model that describes the collapse (θ-)transition to compact polymer conformations, and calculate the critical exponents to 2-loop order. It turns out that the long-standing 1-loop results for these exponents are not entirely correct. A runaway of the RG flow indicates that the so-called θ'-transition could be a fluctuation-induced first-order transition.
Authors: H.-K. Janssen, O. Stenull
Language: English
Open Access status: bronze
OpenAlex ID: W2016495869
FWCI: 0.713
Cites: 30
Cited by: 3
Related to: