arXiv subjects

Joao D. Correia

Publications and source records attributed to Joao D. Correia.

4 recordsLinked to original sources

arXiv1998

Beta Function Constraints from Renormalization Groups Flows in Spin Systems

Inspired by previous work on the constraints that duality imposes on beta functions of spin models, we propose a consistency condition between those functions and RG flows at different points in coupling constant space. We show that this consistency holds for a non self-dual model which admits an exact RG flow, but that it is violated when the RG flow is only approximate. We discuss the use of this deviation as a test for the ``goodness'' of proposed RG flows in complicated models, and the use of the proposed consistency in suggesting RG equations.

cond-mat↗

arXiv1997

The Spectral Dimension of Non-generic Branched Polymer Ensembles

We show that the spectral dimension on non-generic branched polymer models with susceptibility exponent $γ$ is given by $2/(1+γ)$. For those models with negative $γ$ we find that the spectral dimension is 2.

hep-th↗

arXiv1997

Three-State Complex Valued Spins Coupled to Binary Branched Polymers in Two-Dimensional Quantum Gravity

A model of complex spins (corresponding to a non-minimal model in the language of CFT) coupled to the binary branched polymer sector of quantum gravity is considered. We show that this leads to new behaviour.

hep-lat↗

arXiv1997

Branched polymers, complex spins and the freezing transition

We show that by coupling complex three-state systems to branched-polymer like ensembles we can obtain models with gamma-string different from one half. It is also possible to study the interpolation between dynamical and crystalline graphs for these models; we find that only when geometry fluctuations are completely forbidden is there a crystalline phase.

hep-lat↗