The Spectral Dimension of Non-generic Branched Polymer Ensembles
ArXiv hep-th/9712058 (1997)
Abstract:
We show that the spectral dimension on non-generic branched polymer models with susceptibility exponent $\gamma$ is given by $2/(1+\gamma)$. For those models with negative $\gamma$ we find that the spectral dimension is 2.The Spectral Dimension of Non-generic Branched Polymer Ensembles
(1997)
The spectral dimension of the branched polymers phase of two-dimensional quantum gravity
ArXiv hep-lat/9710024 (1997)
Abstract:
The metric of two-dimensional quantum gravity interacting with conformal matter is believed to collapse to a branched polymer metric when the central charge c>1. We show analytically that the spectral dimension of such a branched polymer phase is four thirds. This is in good agreement with numerical simulations for large c.The spectral dimension of the branched polymers phase of two-dimensional quantum gravity
(1997)
Three-State Complex Valued Spins Coupled to Binary Branched Polymers in Two-Dimensional Quantum Gravity
(1997)