Abstract
Relying on a field theoretic model due to Day and Lubensky we establish the one-to-one correspondence of the directed branched polymer problem ind dimensions to (relaxational) critical dynamics at the Yang-Lee edge ind−1 spatial dimensions; like their isotropic counterparts the directed polymer exponents Θ andv ⊥ are uniquely determined by the static Yang-Lee exponent σ whereasv ∥ requires in addition the dynamic Yang-Lee exponentz. JoiningO(ε2)-expansions about the upper critical dimensiond c =7 to exact results atd=1 and 2 by Padé-interpolations we obtain good agreement with series expansion data for low dimensions.
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Breuer, N., Janssen, H.K. Critical behaviour of directed branched polymers and the dynamics at the Yang-Lee edge singularity. Z. Physik B - Condensed Matter 48, 347–350 (1982). https://doi.org/10.1007/BF01305193
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DOI: https://doi.org/10.1007/BF01305193